Symfony Profiler

Security

Token

There is no security token.

Firewall

main Name

Security enabled

Stateless

Configuration

Key	Value
provider	security.user.provider.concrete.app_user_provider
context	main
entry_point	App\Security\KbinAuthenticator
user_checker	App\Security\UserChecker
access_denied_handler	(none)
access_denied_url	(none)
authenticators	[`"two_factor" "remember_me" "App\Security\KbinAuthenticator" "App\Security\FacebookAuthenticator" "App\Security\GoogleAuthenticator" "App\Security\GithubAuthenticator" "App\Security\KeycloakAuthenticator"`]

Listeners

Listener	Duration	Response
Symfony\Component\Security\Http\Firewall\ChannelListener {#723`-map: Symfony\Component\Security\Http\AccessMap {#722 …} -logger: Monolog\Logger {#783 …} -httpPort: 80 -httpsPort: 443`}	0.00 ms	(none)
Symfony\Component\Security\Http\Firewall\ContextListener {#706-tokenStorage: Symfony\Component\Security\Core\Authentication\Token\Storage\TokenStorage {#1017 …} -sessionKey: "_security_main" -logger: Monolog\Logger {#783 …} -userProviders: Symfony\Component\DependencyInjection\Argument\RewindableGenerator {#705 …} -dispatcher: Symfony\Component\EventDispatcher\Debug\TraceableEventDispatcher {#747 …} -registered: false -trustResolver: Scheb\TwoFactorBundle\Security\Authentication\AuthenticationTrustResolver {#780 …} -sessionTrackerEnabler: Symfony\Component\Security\Core\Authentication\Token\Storage\UsageTrackingTokenStorage::enableUsageTracking(): void {#703 …}}	0.27 ms	(none)
Symfony\Component\Security\Http\Firewall\AuthenticatorManagerListener {#584`-authenticatorManager: Symfony\Component\Security\Http\Authentication\AuthenticatorManager {#595 …}`}	0.00 ms	(none)
Scheb\TwoFactorBundle\Security\Http\Firewall\TwoFactorAccessListener {#582`-twoFactorFirewallConfig: Scheb\TwoFactorBundle\Security\TwoFactor\TwoFactorFirewallConfig {#842 …} -tokenStorage: Symfony\Component\Security\Core\Authentication\Token\Storage\UsageTrackingTokenStorage {#1018 …} -twoFactorAccessDecider: Scheb\TwoFactorBundle\Security\Authorization\TwoFactorAccessDecider {#581 …}`}	0.05 ms	(none)
Symfony\Component\Security\Http\Firewall\AccessListener {#579`-tokenStorage: Symfony\Component\Security\Core\Authentication\Token\Storage\UsageTrackingTokenStorage {#1018 …} -accessDecisionManager: Symfony\Component\Security\Core\Authorization\TraceableAccessDecisionManager {#937 …} -map: Symfony\Component\Security\Http\AccessMap {#722 …}`}	0.00 ms	(none)
Symfony\Component\Security\Http\Firewall\LogoutListener {#786`-tokenStorage: Symfony\Component\Security\Core\Authentication\Token\Storage\UsageTrackingTokenStorage {#1018 …} -options: [ "csrf_parameter" => "_csrf_token" "csrf_token_id" => "logout" "logout_path" => "app_logout" ] -httpUtils: Symfony\Component\Security\Http\HttpUtils {#841 …} -csrfTokenManager: Symfony\Component\Security\Csrf\CsrfTokenManager {#1015 …} -eventDispatcher: Symfony\Component\EventDispatcher\Debug\TraceableEventDispatcher {#747 …}`}	0.00 ms	(none)

Authenticators

No authenticators have been recorded. Check previous profiles on your authentication endpoint.

Access Decision

affirmative Strategy


"Symfony\Component\Security\Core\Authorization\Voter\AuthenticatedVoter"
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
"Symfony\Component\Security\Core\Authorization\Voter\ExpressionVoter"
"App\Security\Voter\EntryCommentVoter"
"App\Security\Voter\EntryVoter"
"App\Security\Voter\MagazineVoter"
"App\Security\Voter\MessageThreadVoter"
"App\Security\Voter\MessageVoter"
"App\Security\Voter\NotificationVoter"
"App\Security\Voter\OAuth2UserConsentVoter"
"App\Security\Voter\PostCommentVoter"
"App\Security\Voter\PostVoter"
"App\Security\Voter\UserVoter"

#	Voter class
1	"Symfony\Component\Security\Core\Authorization\Voter\AuthenticatedVoter"
2	"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
3	"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
4	"Symfony\Component\Security\Core\Authorization\Voter\ExpressionVoter"
5	"App\Security\Voter\EntryCommentVoter"
6	"App\Security\Voter\EntryVoter"
7	"App\Security\Voter\MagazineVoter"
8	"App\Security\Voter\MessageThreadVoter"
9	"App\Security\Voter\MessageVoter"
10	"App\Security\Voter\NotificationVoter"
11	"App\Security\Voter\OAuth2UserConsentVoter"
12	"App\Security\Voter\PostCommentVoter"
13	"App\Security\Voter\PostVoter"
14	"App\Security\Voter\UserVoter"

Access decision log


null
"App\Security\Voter\UserVoter"
Proxies\__CG__\App\Entity\Entry {#2224
  +user: Proxies\__CG__\App\Entity\User {#2829 …}
  +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
  +image: Proxies\__CG__\App\Entity\Image {#2870 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#2872 …}
  +slug: "I-ve-been-robbed"
  +title: "I've been robbed!"
  +url: "https://startrek.website/pictrs/image/7ec4fec2-ab13-45f2-9977-42c62f6f7715.jpeg"
  +body: null
  +type: "image"
  +lang: "en"
  +isOc: false
  +hasEmbed: true
  +commentCount: 123
  +favouriteCount: 915
  +score: 0
  +isAdult: false
  +sticky: false
  +lastActive: DateTime @1707578245 {#2865
    date: 2024-02-10 16:17:25.0 +01:00
  }
  +ip: null
  +adaAmount: 0
  +tags: null
  +mentions: null
  +comments: Doctrine\ORM\PersistentCollection {#2873 …}
  +votes: Doctrine\ORM\PersistentCollection {#2875 …}
  +reports: Doctrine\ORM\PersistentCollection {#2877 …}
  +favourites: Doctrine\ORM\PersistentCollection {#2879 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2881 …}
  +badges: Doctrine\ORM\PersistentCollection {#2883 …}
  +children: [
    App\Entity\EntryComment {#2215
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#2224 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2223 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2227 …}
      +body: "“recently”, they are the standard for almost 25 years now."
      +lang: "en"
      +isAdult: false
      +favouriteCount: 0
      +score: 0
      +lastActive: DateTime @1702944522 {#2043
        date: 2023-12-19 01:08:42.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@The_Picard_Maneuver@startrek.website"
        "@Sprokes@lemmy.ml"
        "@cryostars@lemmyf.uk"
        "@psud@aussie.zone"
        "@Phrodo_00@lemmy.world"
      ]
      +children: Doctrine\ORM\PersistentCollection {#2216 …}
      +nested: Doctrine\ORM\PersistentCollection {#2213 …}
      +votes: Doctrine\ORM\PersistentCollection {#2230 …}
      +reports: Doctrine\ORM\PersistentCollection {#2232 …}
      +favourites: Doctrine\ORM\PersistentCollection {#2228 …}
      +notifications: Doctrine\ORM\PersistentCollection {#2192 …}
      -id: 233381
      -bodyTs: "'25':8 'almost':7 'recent':1 'standard':5 'year':9"
      +ranking: 0
      +commentCount: 0
      +upVotes: 0
      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5802730"
      +editedAt: null
      +createdAt: DateTimeImmutable @1702944522 {#2139
        date: 2023-12-19 01:08:42.0 +01:00
      }
      +"title": 233381
    }
  ]
  -id: 17424
  -titleTs: "'rob':4 've':2"
  -bodyTs: null
  +cross: false
  +upVotes: 0
  +downVotes: 0
  +ranking: 1701184856
  +visibility: "visible             "
  +apId: "https://startrek.website/post/4117270"
  +editedAt: null
  +createdAt: DateTimeImmutable @1701098456 {#2851
    date: 2023-11-27 16:20:56.0 +01:00
  }
  +__isInitialized__: true
   …2
}
"App\Security\Voter\UserVoter"
Proxies\__CG__\App\Entity\Entry {#2224
  +user: Proxies\__CG__\App\Entity\User {#2829 …}
  +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
  +image: Proxies\__CG__\App\Entity\Image {#2870 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#2872 …}
  +slug: "I-ve-been-robbed"
  +title: "I've been robbed!"
  +url: "https://startrek.website/pictrs/image/7ec4fec2-ab13-45f2-9977-42c62f6f7715.jpeg"
  +body: null
  +type: "image"
  +lang: "en"
  +isOc: false
  +hasEmbed: true
  +commentCount: 123
  +favouriteCount: 915
  +score: 0
  +isAdult: false
  +sticky: false
  +lastActive: DateTime @1707578245 {#2865
    date: 2024-02-10 16:17:25.0 +01:00
  }
  +ip: null
  +adaAmount: 0
  +tags: null
  +mentions: null
  +comments: Doctrine\ORM\PersistentCollection {#2873 …}
  +votes: Doctrine\ORM\PersistentCollection {#2875 …}
  +reports: Doctrine\ORM\PersistentCollection {#2877 …}
  +favourites: Doctrine\ORM\PersistentCollection {#2879 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2881 …}
  +badges: Doctrine\ORM\PersistentCollection {#2883 …}
  +children: [
    App\Entity\EntryComment {#2215
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#2224 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2223 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2227 …}
      +body: "“recently”, they are the standard for almost 25 years now."
      +lang: "en"
      +isAdult: false
      +favouriteCount: 0
      +score: 0
      +lastActive: DateTime @1702944522 {#2043
        date: 2023-12-19 01:08:42.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@The_Picard_Maneuver@startrek.website"
        "@Sprokes@lemmy.ml"
        "@cryostars@lemmyf.uk"
        "@psud@aussie.zone"
        "@Phrodo_00@lemmy.world"
      ]
      +children: Doctrine\ORM\PersistentCollection {#2216 …}
      +nested: Doctrine\ORM\PersistentCollection {#2213 …}
      +votes: Doctrine\ORM\PersistentCollection {#2230 …}
      +reports: Doctrine\ORM\PersistentCollection {#2232 …}
      +favourites: Doctrine\ORM\PersistentCollection {#2228 …}
      +notifications: Doctrine\ORM\PersistentCollection {#2192 …}
      -id: 233381
      -bodyTs: "'25':8 'almost':7 'recent':1 'standard':5 'year':9"
      +ranking: 0
      +commentCount: 0
      +upVotes: 0
      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5802730"
      +editedAt: null
      +createdAt: DateTimeImmutable @1702944522 {#2139
        date: 2023-12-19 01:08:42.0 +01:00
      }
      +"title": 233381
    }
  ]
  -id: 17424
  -titleTs: "'rob':4 've':2"
  -bodyTs: null
  +cross: false
  +upVotes: 0
  +downVotes: 0
  +ranking: 1701184856
  +visibility: "visible             "
  +apId: "https://startrek.website/post/4117270"
  +editedAt: null
  +createdAt: DateTimeImmutable @1701098456 {#2851
    date: 2023-11-27 16:20:56.0 +01:00
  }
  +__isInitialized__: true
   …2
}
"App\Security\Voter\UserVoter"
Proxies\__CG__\App\Entity\Entry {#2224
  +user: Proxies\__CG__\App\Entity\User {#2829 …}
  +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
  +image: Proxies\__CG__\App\Entity\Image {#2870 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#2872 …}
  +slug: "I-ve-been-robbed"
  +title: "I've been robbed!"
  +url: "https://startrek.website/pictrs/image/7ec4fec2-ab13-45f2-9977-42c62f6f7715.jpeg"
  +body: null
  +type: "image"
  +lang: "en"
  +isOc: false
  +hasEmbed: true
  +commentCount: 123
  +favouriteCount: 915
  +score: 0
  +isAdult: false
  +sticky: false
  +lastActive: DateTime @1707578245 {#2865
    date: 2024-02-10 16:17:25.0 +01:00
  }
  +ip: null
  +adaAmount: 0
  +tags: null
  +mentions: null
  +comments: Doctrine\ORM\PersistentCollection {#2873 …}
  +votes: Doctrine\ORM\PersistentCollection {#2875 …}
  +reports: Doctrine\ORM\PersistentCollection {#2877 …}
  +favourites: Doctrine\ORM\PersistentCollection {#2879 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2881 …}
  +badges: Doctrine\ORM\PersistentCollection {#2883 …}
  +children: [
    App\Entity\EntryComment {#2215
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#2224 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2223 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2227 …}
      +body: "“recently”, they are the standard for almost 25 years now."
      +lang: "en"
      +isAdult: false
      +favouriteCount: 0
      +score: 0
      +lastActive: DateTime @1702944522 {#2043
        date: 2023-12-19 01:08:42.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@The_Picard_Maneuver@startrek.website"
        "@Sprokes@lemmy.ml"
        "@cryostars@lemmyf.uk"
        "@psud@aussie.zone"
        "@Phrodo_00@lemmy.world"
      ]
      +children: Doctrine\ORM\PersistentCollection {#2216 …}
      +nested: Doctrine\ORM\PersistentCollection {#2213 …}
      +votes: Doctrine\ORM\PersistentCollection {#2230 …}
      +reports: Doctrine\ORM\PersistentCollection {#2232 …}
      +favourites: Doctrine\ORM\PersistentCollection {#2228 …}
      +notifications: Doctrine\ORM\PersistentCollection {#2192 …}
      -id: 233381
      -bodyTs: "'25':8 'almost':7 'recent':1 'standard':5 'year':9"
      +ranking: 0
      +commentCount: 0
      +upVotes: 0
      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5802730"
      +editedAt: null
      +createdAt: DateTimeImmutable @1702944522 {#2139
        date: 2023-12-19 01:08:42.0 +01:00
      }
      +"title": 233381
    }
  ]
  -id: 17424
  -titleTs: "'rob':4 've':2"
  -bodyTs: null
  +cross: false
  +upVotes: 0
  +downVotes: 0
  +ranking: 1701184856
  +visibility: "visible             "
  +apId: "https://startrek.website/post/4117270"
  +editedAt: null
  +createdAt: DateTimeImmutable @1701098456 {#2851
    date: 2023-11-27 16:20:56.0 +01:00
  }
  +__isInitialized__: true
   …2
}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2215
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#2224
    +user: Proxies\__CG__\App\Entity\User {#2829 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
    +image: Proxies\__CG__\App\Entity\Image {#2870 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2872 …}
    +slug: "I-ve-been-robbed"
    +title: "I've been robbed!"
    +url: "https://startrek.website/pictrs/image/7ec4fec2-ab13-45f2-9977-42c62f6f7715.jpeg"
    +body: null
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 123
    +favouriteCount: 915
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1707578245 {#2865
      date: 2024-02-10 16:17:25.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2873 …}
    +votes: Doctrine\ORM\PersistentCollection {#2875 …}
    +reports: Doctrine\ORM\PersistentCollection {#2877 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2879 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2881 …}
    +badges: Doctrine\ORM\PersistentCollection {#2883 …}
    +children: [
      App\Entity\EntryComment {#2215}
    ]
    -id: 17424
    -titleTs: "'rob':4 've':2"
    -bodyTs: null
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1701184856
    +visibility: "visible             "
    +apId: "https://startrek.website/post/4117270"
    +editedAt: null
    +createdAt: DateTimeImmutable @1701098456 {#2851
      date: 2023-11-27 16:20:56.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2223 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2227 …}
  +body: "“recently”, they are the standard for almost 25 years now."
  +lang: "en"
  +isAdult: false
  +favouriteCount: 0
  +score: 0
  +lastActive: DateTime @1702944522 {#2043
    date: 2023-12-19 01:08:42.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@The_Picard_Maneuver@startrek.website"
    "@Sprokes@lemmy.ml"
    "@cryostars@lemmyf.uk"
    "@psud@aussie.zone"
    "@Phrodo_00@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2216 …}
  +nested: Doctrine\ORM\PersistentCollection {#2213 …}
  +votes: Doctrine\ORM\PersistentCollection {#2230 …}
  +reports: Doctrine\ORM\PersistentCollection {#2232 …}
  +favourites: Doctrine\ORM\PersistentCollection {#2228 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2192 …}
  -id: 233381
  -bodyTs: "'25':8 'almost':7 'recent':1 'standard':5 'year':9"
  +ranking: 0
  +commentCount: 0
  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5802730"
  +editedAt: null
  +createdAt: DateTimeImmutable @1702944522 {#2139
    date: 2023-12-19 01:08:42.0 +01:00
  }
  +"title": 233381
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2215
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#2224
    +user: Proxies\__CG__\App\Entity\User {#2829 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
    +image: Proxies\__CG__\App\Entity\Image {#2870 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2872 …}
    +slug: "I-ve-been-robbed"
    +title: "I've been robbed!"
    +url: "https://startrek.website/pictrs/image/7ec4fec2-ab13-45f2-9977-42c62f6f7715.jpeg"
    +body: null
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 123
    +favouriteCount: 915
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1707578245 {#2865
      date: 2024-02-10 16:17:25.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2873 …}
    +votes: Doctrine\ORM\PersistentCollection {#2875 …}
    +reports: Doctrine\ORM\PersistentCollection {#2877 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2879 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2881 …}
    +badges: Doctrine\ORM\PersistentCollection {#2883 …}
    +children: [
      App\Entity\EntryComment {#2215}
    ]
    -id: 17424
    -titleTs: "'rob':4 've':2"
    -bodyTs: null
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1701184856
    +visibility: "visible             "
    +apId: "https://startrek.website/post/4117270"
    +editedAt: null
    +createdAt: DateTimeImmutable @1701098456 {#2851
      date: 2023-11-27 16:20:56.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2223 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2227 …}
  +body: "“recently”, they are the standard for almost 25 years now."
  +lang: "en"
  +isAdult: false
  +favouriteCount: 0
  +score: 0
  +lastActive: DateTime @1702944522 {#2043
    date: 2023-12-19 01:08:42.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@The_Picard_Maneuver@startrek.website"
    "@Sprokes@lemmy.ml"
    "@cryostars@lemmyf.uk"
    "@psud@aussie.zone"
    "@Phrodo_00@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2216 …}
  +nested: Doctrine\ORM\PersistentCollection {#2213 …}
  +votes: Doctrine\ORM\PersistentCollection {#2230 …}
  +reports: Doctrine\ORM\PersistentCollection {#2232 …}
  +favourites: Doctrine\ORM\PersistentCollection {#2228 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2192 …}
  -id: 233381
  -bodyTs: "'25':8 'almost':7 'recent':1 'standard':5 'year':9"
  +ranking: 0
  +commentCount: 0
  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5802730"
  +editedAt: null
  +createdAt: DateTimeImmutable @1702944522 {#2139
    date: 2023-12-19 01:08:42.0 +01:00
  }
  +"title": 233381
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2215
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#2224
    +user: Proxies\__CG__\App\Entity\User {#2829 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
    +image: Proxies\__CG__\App\Entity\Image {#2870 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2872 …}
    +slug: "I-ve-been-robbed"
    +title: "I've been robbed!"
    +url: "https://startrek.website/pictrs/image/7ec4fec2-ab13-45f2-9977-42c62f6f7715.jpeg"
    +body: null
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 123
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    +comments: Doctrine\ORM\PersistentCollection {#2873 …}
    +votes: Doctrine\ORM\PersistentCollection {#2875 …}
    +reports: Doctrine\ORM\PersistentCollection {#2877 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2879 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2881 …}
    +badges: Doctrine\ORM\PersistentCollection {#2883 …}
    +children: [
      App\Entity\EntryComment {#2215}
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    -id: 17424
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    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2223 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2227 …}
  +body: "“recently”, they are the standard for almost 25 years now."
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    "@cryostars@lemmyf.uk"
    "@psud@aussie.zone"
    "@Phrodo_00@lemmy.world"
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  +children: Doctrine\ORM\PersistentCollection {#2216 …}
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}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
Proxies\__CG__\App\Entity\Entry {#2277
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  +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
  +image: Proxies\__CG__\App\Entity\Image {#2823 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#2824 …}
  +slug: "Good-thing-I-don-t-know-how-to-read-music"
  +title: "Good thing I don't know how to read music"
  +url: "https://lemmy.zip/pictrs/image/5c5f634f-3be1-4bde-a6af-668183e40040.webp"
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    date: 2024-09-17 20:18:13.0 +02:00
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  +ip: null
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  +comments: Doctrine\ORM\PersistentCollection {#2833 …}
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  +favourites: Doctrine\ORM\PersistentCollection {#2839 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2841 …}
  +badges: Doctrine\ORM\PersistentCollection {#2843 …}
  +children: [
    1 => App\Entity\EntryComment {#2202
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#2277 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2201 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2261 …}
      +body: "True and I obviously have no idea what I’m doing. But I’m sure it doesn’t matter because I don’t know anything about music, don’t have absolute pitch and just pressed e f f on an online midi keyboard 🤣"
      +lang: "en"
      +isAdult: false
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        "@skeezix@lemmy.world"
        "@wischi@programming.dev"
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      +votes: Doctrine\ORM\PersistentCollection {#2208 …}
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      +notifications: Doctrine\ORM\PersistentCollection {#2266 …}
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      +"title": 321595
    }
    0 => App\Entity\EntryComment {#2275
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      +entry: Proxies\__CG__\App\Entity\Entry {#2277 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2261 …}
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        "@balderdash9@lemmy.zip"
        "@skeezix@lemmy.world"
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      +children: Doctrine\ORM\PersistentCollection {#2220 …}
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      +reports: Doctrine\ORM\PersistentCollection {#2196 …}
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  ]
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   …2
}
"App\Security\Voter\UserVoter"
Proxies\__CG__\App\Entity\Entry {#2277
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  +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
  +image: Proxies\__CG__\App\Entity\Image {#2823 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#2824 …}
  +slug: "Good-thing-I-don-t-know-how-to-read-music"
  +title: "Good thing I don't know how to read music"
  +url: "https://lemmy.zip/pictrs/image/5c5f634f-3be1-4bde-a6af-668183e40040.webp"
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  +favourites: Doctrine\ORM\PersistentCollection {#2839 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2841 …}
  +badges: Doctrine\ORM\PersistentCollection {#2843 …}
  +children: [
    1 => App\Entity\EntryComment {#2202
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#2277 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2201 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2261 …}
      +body: "True and I obviously have no idea what I’m doing. But I’m sure it doesn’t matter because I don’t know anything about music, don’t have absolute pitch and just pressed e f f on an online midi keyboard 🤣"
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        "@skeezix@lemmy.world"
        "@wischi@programming.dev"
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      +children: Doctrine\ORM\PersistentCollection {#2210 …}
      +nested: Doctrine\ORM\PersistentCollection {#2207 …}
      +votes: Doctrine\ORM\PersistentCollection {#2208 …}
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      +"title": 321595
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    0 => App\Entity\EntryComment {#2275
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      +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2261 …}
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        "@skeezix@lemmy.world"
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      +children: Doctrine\ORM\PersistentCollection {#2220 …}
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  ]
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}
"App\Security\Voter\UserVoter"
Proxies\__CG__\App\Entity\Entry {#2277
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  +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
  +image: Proxies\__CG__\App\Entity\Image {#2823 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#2824 …}
  +slug: "Good-thing-I-don-t-know-how-to-read-music"
  +title: "Good thing I don't know how to read music"
  +url: "https://lemmy.zip/pictrs/image/5c5f634f-3be1-4bde-a6af-668183e40040.webp"
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  +ip: null
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  +notifications: Doctrine\ORM\PersistentCollection {#2841 …}
  +badges: Doctrine\ORM\PersistentCollection {#2843 …}
  +children: [
    1 => App\Entity\EntryComment {#2202
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#2277 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2201 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2261 …}
      +body: "True and I obviously have no idea what I’m doing. But I’m sure it doesn’t matter because I don’t know anything about music, don’t have absolute pitch and just pressed e f f on an online midi keyboard 🤣"
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        "@skeezix@lemmy.world"
        "@wischi@programming.dev"
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      +"title": 321595
    }
    0 => App\Entity\EntryComment {#2275
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#2277 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2261 …}
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        "@skeezix@lemmy.world"
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}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2202
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#2277
    +user: Proxies\__CG__\App\Entity\User {#2536 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
    +image: Proxies\__CG__\App\Entity\Image {#2823 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2824 …}
    +slug: "Good-thing-I-don-t-know-how-to-read-music"
    +title: "Good thing I don't know how to read music"
    +url: "https://lemmy.zip/pictrs/image/5c5f634f-3be1-4bde-a6af-668183e40040.webp"
    +body: null
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    +lastActive: DateTime @1726597093 {#2818
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    +ip: null
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    +comments: Doctrine\ORM\PersistentCollection {#2833 …}
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    +badges: Doctrine\ORM\PersistentCollection {#2843 …}
    +children: [
      1 => App\Entity\EntryComment {#2202}
      0 => App\Entity\EntryComment {#2275
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
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        +body: "“die” is probably from a german song. It’s the article for female nouns (or plurals). Couldn’t guess the song though based on those three notes."
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          "@skeezix@lemmy.world"
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App\Entity\EntryComment {#2202
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App\Entity\EntryComment {#2202
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null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2275
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        +reports: Doctrine\ORM\PersistentCollection {#2204 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2211 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2266 …}
        -id: 321595
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      }
      0 => App\Entity\EntryComment {#2275}
    ]
    -id: 31316
    -titleTs: "'good':1 'know':6 'music':10 'read':9 'thing':2"
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    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2261 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2261 …}
  +body: "“die” is probably from a german song. It’s the article for female nouns (or plurals). Couldn’t guess the song though based on those three notes."
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    "@skeezix@lemmy.world"
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  +children: Doctrine\ORM\PersistentCollection {#2220 …}
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2275
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#2277
    +user: Proxies\__CG__\App\Entity\User {#2536 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
    +image: Proxies\__CG__\App\Entity\Image {#2823 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2824 …}
    +slug: "Good-thing-I-don-t-know-how-to-read-music"
    +title: "Good thing I don't know how to read music"
    +url: "https://lemmy.zip/pictrs/image/5c5f634f-3be1-4bde-a6af-668183e40040.webp"
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    +ip: null
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    +favourites: Doctrine\ORM\PersistentCollection {#2839 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2841 …}
    +badges: Doctrine\ORM\PersistentCollection {#2843 …}
    +children: [
      1 => App\Entity\EntryComment {#2202
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#2277 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2201 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2261 …}
        +body: "True and I obviously have no idea what I’m doing. But I’m sure it doesn’t matter because I don’t know anything about music, don’t have absolute pitch and just pressed e f f on an online midi keyboard 🤣"
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        +isAdult: false
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          "@skeezix@lemmy.world"
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      0 => App\Entity\EntryComment {#2275}
    ]
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      date: 2024-01-17 22:22:54.0 +01:00
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     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#2198 …}
  +image: null
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  +body: "“die” is probably from a german song. It’s the article for female nouns (or plurals). Couldn’t guess the song though based on those three notes."
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  +isAdult: false
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}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
Proxies\__CG__\App\Entity\Entry {#2291
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  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: Proxies\__CG__\App\Entity\Image {#2850 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#2852 …}
  +slug: "They-forgot-about-Rankine"
  +title: "They forgot about Rankine"
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    date: 2023-12-22 02:01:40.0 +01:00
  }
  +ip: null
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  +comments: Doctrine\ORM\PersistentCollection {#2853 …}
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  +favourites: Doctrine\ORM\PersistentCollection {#2859 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2861 …}
  +badges: Doctrine\ORM\PersistentCollection {#2863 …}
  +children: [
    1 => App\Entity\EntryComment {#2319
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#2291 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2317 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2318 …}
      +body: "The joke is because of “degrees” (also to measure angles) and “radians”"
      +lang: "en"
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        "@SpaceNoodle@lemmy.world"
        "@fastandcurious@lemmy.world"
      ]
      +children: Doctrine\ORM\PersistentCollection {#2313 …}
      +nested: Doctrine\ORM\PersistentCollection {#2292 …}
      +votes: Doctrine\ORM\PersistentCollection {#2290 …}
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      -id: 240139
      -bodyTs: "'also':7 'angl':10 'degre':6 'joke':2 'measur':9 'radian':12"
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        date: 2023-12-21 12:49:41.0 +01:00
      }
      +"title": 240139
    }
    0 => App\Entity\EntryComment {#2293
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      +entry: Proxies\__CG__\App\Entity\Entry {#2291 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2309 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2301 …}
      +body: """
        > Joules is unfortunately a vector because it’s over a distance in a direction.\n
        \n
        What? Joule is an energy unit and energy is a scalar quantity and not a vector. There is no “energy direction” and no “distance”.\n
        \n
        Edit: even your edit doesn’t make sense. Provide a source that says that energy or joule is somehow a vector.
        """
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        "@Omega_Haxors@lemmy.ml"
        "@DeathsEmbrace@lemmy.ml"
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   …2
}
"App\Security\Voter\UserVoter"
Proxies\__CG__\App\Entity\Entry {#2291
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  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: Proxies\__CG__\App\Entity\Image {#2850 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#2852 …}
  +slug: "They-forgot-about-Rankine"
  +title: "They forgot about Rankine"
  +url: "https://sh.itjust.works/pictrs/image/f448e791-1493-40cf-9336-e0956481ed2f.jpeg"
  +body: null
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    date: 2023-12-22 02:01:40.0 +01:00
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  +ip: null
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  +comments: Doctrine\ORM\PersistentCollection {#2853 …}
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  +notifications: Doctrine\ORM\PersistentCollection {#2861 …}
  +badges: Doctrine\ORM\PersistentCollection {#2863 …}
  +children: [
    1 => App\Entity\EntryComment {#2319
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#2291 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2317 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2318 …}
      +body: "The joke is because of “degrees” (also to measure angles) and “radians”"
      +lang: "en"
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        "@fastandcurious@lemmy.world"
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      +"title": 240139
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    0 => App\Entity\EntryComment {#2293
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      +entry: Proxies\__CG__\App\Entity\Entry {#2291 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2309 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2301 …}
      +body: """
        > Joules is unfortunately a vector because it’s over a distance in a direction.\n
        \n
        What? Joule is an energy unit and energy is a scalar quantity and not a vector. There is no “energy direction” and no “distance”.\n
        \n
        Edit: even your edit doesn’t make sense. Provide a source that says that energy or joule is somehow a vector.
        """
      +lang: "en"
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        "@DeathsEmbrace@lemmy.ml"
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  +__isInitialized__: true
   …2
}
"App\Security\Voter\UserVoter"
Proxies\__CG__\App\Entity\Entry {#2291
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  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: Proxies\__CG__\App\Entity\Image {#2850 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#2852 …}
  +slug: "They-forgot-about-Rankine"
  +title: "They forgot about Rankine"
  +url: "https://sh.itjust.works/pictrs/image/f448e791-1493-40cf-9336-e0956481ed2f.jpeg"
  +body: null
  +type: "image"
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  +ip: null
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  +comments: Doctrine\ORM\PersistentCollection {#2853 …}
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  +children: [
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      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2317 …}
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      +body: "The joke is because of “degrees” (also to measure angles) and “radians”"
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        "@fastandcurious@lemmy.world"
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        > Joules is unfortunately a vector because it’s over a distance in a direction.\n
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        What? Joule is an energy unit and energy is a scalar quantity and not a vector. There is no “energy direction” and no “distance”.\n
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        Edit: even your edit doesn’t make sense. Provide a source that says that energy or joule is somehow a vector.
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"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2319
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          > Joules is unfortunately a vector because it’s over a distance in a direction.\n
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          What? Joule is an energy unit and energy is a scalar quantity and not a vector. There is no “energy direction” and no “distance”.\n
          \n
          Edit: even your edit doesn’t make sense. Provide a source that says that energy or joule is somehow a vector.
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"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2319
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          > Joules is unfortunately a vector because it’s over a distance in a direction.\n
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          What? Joule is an energy unit and energy is a scalar quantity and not a vector. There is no “energy direction” and no “distance”.\n
          \n
          Edit: even your edit doesn’t make sense. Provide a source that says that energy or joule is somehow a vector.
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          > Joules is unfortunately a vector because it’s over a distance in a direction.\n
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          What? Joule is an energy unit and energy is a scalar quantity and not a vector. There is no “energy direction” and no “distance”.\n
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null
"App\Security\Voter\UserVoter"
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        +body: "The joke is because of “degrees” (also to measure angles) and “radians”"
        +lang: "en"
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      }
      0 => App\Entity\EntryComment {#2293}
    ]
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  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2309 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2301 …}
  +body: """
    > Joules is unfortunately a vector because it’s over a distance in a direction.\n
    \n
    What? Joule is an energy unit and energy is a scalar quantity and not a vector. There is no “energy direction” and no “distance”.\n
    \n
    Edit: even your edit doesn’t make sense. Provide a source that says that energy or joule is somehow a vector.
    """
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    "@Omega_Haxors@lemmy.ml"
    "@DeathsEmbrace@lemmy.ml"
  ]
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    date: 2023-12-21 12:48:03.0 +01:00
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2293
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    +domain: Proxies\__CG__\App\Entity\Domain {#2852 …}
    +slug: "They-forgot-about-Rankine"
    +title: "They forgot about Rankine"
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2317 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2318 …}
        +body: "The joke is because of “degrees” (also to measure angles) and “radians”"
        +lang: "en"
        +isAdult: false
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  }
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  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2309 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2301 …}
  +body: """
    > Joules is unfortunately a vector because it’s over a distance in a direction.\n
    \n
    What? Joule is an energy unit and energy is a scalar quantity and not a vector. There is no “energy direction” and no “distance”.\n
    \n
    Edit: even your edit doesn’t make sense. Provide a source that says that energy or joule is somehow a vector.
    """
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2293
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    +domain: Proxies\__CG__\App\Entity\Domain {#2852 …}
    +slug: "They-forgot-about-Rankine"
    +title: "They forgot about Rankine"
    +url: "https://sh.itjust.works/pictrs/image/f448e791-1493-40cf-9336-e0956481ed2f.jpeg"
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2317 …}
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        +body: "The joke is because of “degrees” (also to measure angles) and “radians”"
        +lang: "en"
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  +image: null
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  +body: """
    > Joules is unfortunately a vector because it’s over a distance in a direction.\n
    \n
    What? Joule is an energy unit and energy is a scalar quantity and not a vector. There is no “energy direction” and no “distance”.\n
    \n
    Edit: even your edit doesn’t make sense. Provide a source that says that energy or joule is somehow a vector.
    """
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    "@Omega_Haxors@lemmy.ml"
    "@DeathsEmbrace@lemmy.ml"
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"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
Proxies\__CG__\App\Entity\Entry {#1582
  +user: App\Entity\User {#261 …}
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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  +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
  +slug: "6-2-1-2"
  +title: "6÷2(1+2)"
  +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
  +body: """
    [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
    \n
    I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
    \n
    It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
    """
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    date: 2024-03-29 00:18:08.0 +01:00
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    15 => App\Entity\EntryComment {#2099
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      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
      +body: """
        Chat GPT’s answer for me:\n
        \n
        > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
        > \n
        > 1. Implicit multiplication with higher priority:\n
        > \n
        > [ \frac{6}{2}(1+2) ]\n
        > \n
        > First, solve the parentheses:\n
        > \n
        > [ \frac{6}{2}(3) ]\n
        > \n
        > Now, perform the division:\n
        > \n
        > [ 3 \times 3 = 9 ]\n
        > \n
        > 2. Implicit multiplication with the same priority as division:\n
        > \n
        > [ \frac{6}{2(1+2)} ]\n
        > \n
        > Again, solve the parentheses:\n
        > \n
        > [ \frac{6}{2(3)} ]\n
        > \n
        > Now, perform the multiplication first:\n
        > \n
        > [ \frac{6}{6} = 1 ]\n
        > \n
        > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
        \n
        I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
        """
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        "@wischi@programming.dev"
        "@Littleborat@feddit.de"
        "@Supervisor194@lemmy.world"
      ]
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      +"title": 220939
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    13 => App\Entity\EntryComment {#2136
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      +body: "?"
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        date: 2023-12-13 18:51:37.0 +01:00
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        "@wischi@programming.dev"
        "@agni@lemmings.world"
      ]
      +children: Doctrine\ORM\PersistentCollection {#2073 …}
      +nested: Doctrine\ORM\PersistentCollection {#2072 …}
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      -id: 220703
      -bodyTs: ""
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      +visibility: "visible             "
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        date: 2023-12-13 18:51:37.0 +01:00
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      +"title": 220703
    }
    14 => App\Entity\EntryComment {#2393
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
      +body: """
        Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
        \n
        There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
        \n
        An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
        """
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    11 => App\Entity\EntryComment {#2323
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      +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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    12 => App\Entity\EntryComment {#1909
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      +body: "Thank you for taking the time to read it."
      +lang: "en"
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        date: 2023-12-12 20:21:43.0 +01:00
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    18 => App\Entity\EntryComment {#2081
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      +body: "Did you read the blog post? I also quoted the exact same thing."
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    1 => App\Entity\EntryComment {#2344
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      +body: """
        You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
        \n
        My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
        """
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        date: 2023-12-13 08:47:01.0 +01:00
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        date: 2023-12-13 08:47:01.0 +01:00
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    7 => App\Entity\EntryComment {#2460
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      +body: """
        The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
        \n
        So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
        \n
        There really is no agreed upon standard even amongst experts.
        """
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    8 => App\Entity\EntryComment {#1728
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      +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      +"title": 218912
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    5 => App\Entity\EntryComment {#2059
      +user: App\Entity\User {#261 …}
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      +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
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      +body: "Thank you for taking the time reading it."
      +lang: "en"
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        "@wren@sopuli.xyz"
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    }
    6 => App\Entity\EntryComment {#1717
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      +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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        "@frezik@midwest.social"
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    4 => App\Entity\EntryComment {#2360
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      +body: "That’s actually a great way of putting it 🤣"
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    3 => App\Entity\EntryComment {#2115
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      +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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        "@Abnorc@lemm.ee"
      ]
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        date: 2024-01-09 06:33:54.0 +01:00
      }
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        date: 2023-12-14 21:03:05.0 +01:00
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    2 => App\Entity\EntryComment {#1550
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      +body: """
        The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
        \n
        It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
        """
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        "@CarbonScored@hexbear.net"
      ]
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      -id: 218846
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      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5660419"
      +editedAt: DateTimeImmutable @1704104200 {#1559
        date: 2024-01-01 11:16:40.0 +01:00
      }
      +createdAt: DateTimeImmutable @1702404031 {#1548
        date: 2023-12-12 19:00:31.0 +01:00
      }
      +"title": 218846
    }
    16 => App\Entity\EntryComment {#2030
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
      +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
      +lang: "en"
      +isAdult: false
      +favouriteCount: 3
      +score: 0
      +lastActive: DateTime @1702411692 {#2019
        date: 2023-12-12 21:08:12.0 +01:00
      }
      +ip: null
      +tags: null
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        "@wischi@programming.dev"
        "@Prunebutt@feddit.de"
        "@Prunebutt"
        "@SpaceNoodle@lemmy.world"
      ]
      +children: Doctrine\ORM\PersistentCollection {#2024 …}
      +nested: Doctrine\ORM\PersistentCollection {#2018 …}
      +votes: Doctrine\ORM\PersistentCollection {#2011 …}
      +reports: Doctrine\ORM\PersistentCollection {#2021 …}
      +favourites: Doctrine\ORM\PersistentCollection {#2029 …}
      +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
      -id: 219156
      -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
      +ranking: 0
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      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5663475"
      +editedAt: null
      +createdAt: DateTimeImmutable @1702411692 {#2023
        date: 2023-12-12 21:08:12.0 +01:00
      }
      +"title": 219156
    }
    9 => App\Entity\EntryComment {#1598
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
      +body: """
        “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
        \n
        For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
        \n
        You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
        \n
        6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
        \n
        You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
        \n
        1 / 2 * 6 * 3\n
        \n
        This also works for addition and subtraction\n
        \n
        7 + 8 - 5\n
        \n
        You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
        \n
        8 - 5 + 7\n
        \n
        or like this\n
        \n
        0 - 5 + 8 + 7\n
        \n
        because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
        \n
        -5 + 8 + 7\n
        \n
        That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
        """
      +lang: "en"
      +isAdult: false
      +favouriteCount: 2
      +score: 0
      +lastActive: DateTime @1702405641 {#1711
        date: 2023-12-12 19:27:21.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@wischi@programming.dev"
        "@Rinox@feddit.it"
      ]
      +children: Doctrine\ORM\PersistentCollection {#1629 …}
      +nested: Doctrine\ORM\PersistentCollection {#1626 …}
      +votes: Doctrine\ORM\PersistentCollection {#1618 …}
      +reports: Doctrine\ORM\PersistentCollection {#1597 …}
      +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
      +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
      -id: 218909
      -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
      +ranking: 0
      +commentCount: 0
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      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5661037"
      +editedAt: DateTimeImmutable @1704106921 {#1616
        date: 2024-01-01 12:02:01.0 +01:00
      }
      +createdAt: DateTimeImmutable @1702405641 {#1611
        date: 2023-12-12 19:27:21.0 +01:00
      }
      +"title": 218909
    }
    17 => App\Entity\EntryComment {#2031
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
      +body: """
        Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
        \n
        Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
        """
      +lang: "en"
      +isAdult: false
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        date: 2023-12-13 08:23:28.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@wischi@programming.dev"
        "@SkiDude@lemmy.world"
      ]
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      +reports: Doctrine\ORM\PersistentCollection {#2078 …}
      +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
      +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
      -id: 220282
      -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
      +ranking: 0
      +commentCount: 0
      +upVotes: 0
      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5675552"
      +editedAt: null
      +createdAt: DateTimeImmutable @1702452208 {#2035
        date: 2023-12-13 08:23:28.0 +01:00
      }
      +"title": 220282
    }
    10 => App\Entity\EntryComment {#1604
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
      +body: """
        ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
        \n
        I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
        """
      +lang: "en"
      +isAdult: false
      +favouriteCount: 5
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        date: 2023-12-12 19:11:17.0 +01:00
      }
      +ip: null
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        "@wischi@programming.dev"
        "@jdaxe@infosec.pub"
      ]
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      -id: 218871
      -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
      +ranking: 0
      +commentCount: 0
      +upVotes: 0
      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5660702"
      +editedAt: null
      +createdAt: DateTimeImmutable @1702404677 {#1613
        date: 2023-12-12 19:11:17.0 +01:00
      }
      +"title": 218871
    }
    19 => App\Entity\EntryComment {#1606
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
      +body: """
        Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
        \n
        But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
        """
      +lang: "en"
      +isAdult: false
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        date: 2023-12-12 18:53:06.0 +01:00
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        "@wischi@programming.dev"
        "@dgmib@lemmy.world"
      ]
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      +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
      -id: 218823
      -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
      +ranking: 0
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      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5660232"
      +editedAt: DateTimeImmutable @1704111301 {#1440
        date: 2024-01-01 13:15:01.0 +01:00
      }
      +createdAt: DateTimeImmutable @1702403586 {#1434
        date: 2023-12-12 18:53:06.0 +01:00
      }
      +"title": 218823
    }
    0 => App\Entity\EntryComment {#2140
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
      +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
      +lang: "en"
      +isAdult: false
      +favouriteCount: 8
      +score: 0
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        date: 2023-12-13 08:36:24.0 +01:00
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      +mentions: [
        "@wischi@programming.dev"
        "@CallumWells@lemmy.ml"
      ]
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      -id: 220297
      -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
      +ranking: 0
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      +apId: "https://programming.dev/comment/5675726"
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        date: 2024-01-03 06:18:24.0 +01:00
      }
      +createdAt: DateTimeImmutable @1702452984 {#2241
        date: 2023-12-13 08:36:24.0 +01:00
      }
      +"title": 220297
    }
  ]
  -id: 21759
  -titleTs: "'+2':4 '1':3 '2':2 '6':1"
  -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
  +cross: false
  +upVotes: 0
  +downVotes: 0
  +ranking: 1702449986
  +visibility: "visible             "
  +apId: "https://programming.dev/post/7145882"
  +editedAt: DateTimeImmutable @1703972491 {#2652
    date: 2023-12-30 22:41:31.0 +01:00
  }
  +createdAt: DateTimeImmutable @1702363586 {#2548
    date: 2023-12-12 07:46:26.0 +01:00
  }
  +__isInitialized__: true
   …2
}
"App\Security\Voter\UserVoter"
Proxies\__CG__\App\Entity\Entry {#1582
  +user: App\Entity\User {#261 …}
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: Proxies\__CG__\App\Entity\Image {#2758 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
  +slug: "6-2-1-2"
  +title: "6÷2(1+2)"
  +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
  +body: """
    [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
    \n
    I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
    \n
    It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
    """
  +type: "image"
  +lang: "en"
  +isOc: false
  +hasEmbed: true
  +commentCount: 242
  +favouriteCount: 801
  +score: 0
  +isAdult: false
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  +lastActive: DateTime @1711667888 {#2265
    date: 2024-03-29 00:18:08.0 +01:00
  }
  +ip: null
  +adaAmount: 0
  +tags: null
  +mentions: null
  +comments: Doctrine\ORM\PersistentCollection {#2779 …}
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  +badges: Doctrine\ORM\PersistentCollection {#2821 …}
  +children: [
    15 => App\Entity\EntryComment {#2099
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
      +body: """
        Chat GPT’s answer for me:\n
        \n
        > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
        > \n
        > 1. Implicit multiplication with higher priority:\n
        > \n
        > [ \frac{6}{2}(1+2) ]\n
        > \n
        > First, solve the parentheses:\n
        > \n
        > [ \frac{6}{2}(3) ]\n
        > \n
        > Now, perform the division:\n
        > \n
        > [ 3 \times 3 = 9 ]\n
        > \n
        > 2. Implicit multiplication with the same priority as division:\n
        > \n
        > [ \frac{6}{2(1+2)} ]\n
        > \n
        > Again, solve the parentheses:\n
        > \n
        > [ \frac{6}{2(3)} ]\n
        > \n
        > Now, perform the multiplication first:\n
        > \n
        > [ \frac{6}{6} = 1 ]\n
        > \n
        > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
        \n
        I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
        """
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      +isAdult: false
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        date: 2023-12-14 00:24:18.0 +01:00
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        "@wischi@programming.dev"
        "@Littleborat@feddit.de"
        "@Supervisor194@lemmy.world"
      ]
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      +ranking: 0
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    13 => App\Entity\EntryComment {#2136
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      +body: "?"
      +lang: "en"
      +isAdult: false
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        date: 2023-12-13 18:51:37.0 +01:00
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        "@wischi@programming.dev"
        "@agni@lemmings.world"
      ]
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      -id: 220703
      -bodyTs: ""
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      +createdAt: DateTimeImmutable @1702489897 {#2135
        date: 2023-12-13 18:51:37.0 +01:00
      }
      +"title": 220703
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    14 => App\Entity\EntryComment {#2393
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      +body: """
        Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
        \n
        There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
        \n
        An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
        """
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        "@nadiaraven@lemmy.world"
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        date: 2023-12-12 20:35:46.0 +01:00
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    11 => App\Entity\EntryComment {#2323
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      +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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        date: 2023-12-13 18:19:51.0 +01:00
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    12 => App\Entity\EntryComment {#1909
      +user: App\Entity\User {#261 …}
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      +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
      +body: "Thank you for taking the time to read it."
      +lang: "en"
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        date: 2023-12-12 20:21:43.0 +01:00
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        "@friendly_ghost@beehaw.org"
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        date: 2023-12-12 20:21:43.0 +01:00
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    18 => App\Entity\EntryComment {#2081
      +user: App\Entity\User {#261 …}
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      +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
      +body: "Did you read the blog post? I also quoted the exact same thing."
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        date: 2023-12-13 08:25:44.0 +01:00
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    1 => App\Entity\EntryComment {#2344
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      +body: """
        You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
        \n
        My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
        """
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        date: 2023-12-13 08:47:01.0 +01:00
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        "@Alcatorda@lemmy.world"
      ]
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      -id: 220301
      -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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        date: 2023-12-13 08:47:01.0 +01:00
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    }
    7 => App\Entity\EntryComment {#2460
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      +body: """
        The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
        \n
        So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
        \n
        There really is no agreed upon standard even amongst experts.
        """
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        "@Perfide@reddthat.com"
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    8 => App\Entity\EntryComment {#1728
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      +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      +"title": 218912
    }
    5 => App\Entity\EntryComment {#2059
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      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
      +body: "Thank you for taking the time reading it."
      +lang: "en"
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        date: 2023-12-14 00:11:27.0 +01:00
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        "@wren@sopuli.xyz"
      ]
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      -id: 220929
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    }
    6 => App\Entity\EntryComment {#1717
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      +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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        "@frezik@midwest.social"
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    4 => App\Entity\EntryComment {#2360
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      +body: "That’s actually a great way of putting it 🤣"
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        "@atomicorange@lemmy.world"
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    3 => App\Entity\EntryComment {#2115
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      +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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        "@Abnorc@lemm.ee"
      ]
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        date: 2024-01-09 06:33:54.0 +01:00
      }
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        date: 2023-12-14 21:03:05.0 +01:00
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    2 => App\Entity\EntryComment {#1550
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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      +body: """
        The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
        \n
        It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
        """
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        "@wischi@programming.dev"
        "@CarbonScored@hexbear.net"
      ]
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      +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
      -id: 218846
      -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
      +ranking: 0
      +commentCount: 0
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      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5660419"
      +editedAt: DateTimeImmutable @1704104200 {#1559
        date: 2024-01-01 11:16:40.0 +01:00
      }
      +createdAt: DateTimeImmutable @1702404031 {#1548
        date: 2023-12-12 19:00:31.0 +01:00
      }
      +"title": 218846
    }
    16 => App\Entity\EntryComment {#2030
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
      +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
      +lang: "en"
      +isAdult: false
      +favouriteCount: 3
      +score: 0
      +lastActive: DateTime @1702411692 {#2019
        date: 2023-12-12 21:08:12.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@wischi@programming.dev"
        "@Prunebutt@feddit.de"
        "@Prunebutt"
        "@SpaceNoodle@lemmy.world"
      ]
      +children: Doctrine\ORM\PersistentCollection {#2024 …}
      +nested: Doctrine\ORM\PersistentCollection {#2018 …}
      +votes: Doctrine\ORM\PersistentCollection {#2011 …}
      +reports: Doctrine\ORM\PersistentCollection {#2021 …}
      +favourites: Doctrine\ORM\PersistentCollection {#2029 …}
      +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
      -id: 219156
      -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
      +ranking: 0
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      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5663475"
      +editedAt: null
      +createdAt: DateTimeImmutable @1702411692 {#2023
        date: 2023-12-12 21:08:12.0 +01:00
      }
      +"title": 219156
    }
    9 => App\Entity\EntryComment {#1598
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
      +body: """
        “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
        \n
        For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
        \n
        You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
        \n
        6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
        \n
        You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
        \n
        1 / 2 * 6 * 3\n
        \n
        This also works for addition and subtraction\n
        \n
        7 + 8 - 5\n
        \n
        You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
        \n
        8 - 5 + 7\n
        \n
        or like this\n
        \n
        0 - 5 + 8 + 7\n
        \n
        because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
        \n
        -5 + 8 + 7\n
        \n
        That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
        """
      +lang: "en"
      +isAdult: false
      +favouriteCount: 2
      +score: 0
      +lastActive: DateTime @1702405641 {#1711
        date: 2023-12-12 19:27:21.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@wischi@programming.dev"
        "@Rinox@feddit.it"
      ]
      +children: Doctrine\ORM\PersistentCollection {#1629 …}
      +nested: Doctrine\ORM\PersistentCollection {#1626 …}
      +votes: Doctrine\ORM\PersistentCollection {#1618 …}
      +reports: Doctrine\ORM\PersistentCollection {#1597 …}
      +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
      +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
      -id: 218909
      -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
      +ranking: 0
      +commentCount: 0
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      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5661037"
      +editedAt: DateTimeImmutable @1704106921 {#1616
        date: 2024-01-01 12:02:01.0 +01:00
      }
      +createdAt: DateTimeImmutable @1702405641 {#1611
        date: 2023-12-12 19:27:21.0 +01:00
      }
      +"title": 218909
    }
    17 => App\Entity\EntryComment {#2031
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
      +body: """
        Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
        \n
        Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
        """
      +lang: "en"
      +isAdult: false
      +favouriteCount: 2
      +score: 0
      +lastActive: DateTime @1702452208 {#2027
        date: 2023-12-13 08:23:28.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@wischi@programming.dev"
        "@SkiDude@lemmy.world"
      ]
      +children: Doctrine\ORM\PersistentCollection {#2037 …}
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      +votes: Doctrine\ORM\PersistentCollection {#2079 …}
      +reports: Doctrine\ORM\PersistentCollection {#2078 …}
      +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
      +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
      -id: 220282
      -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
      +ranking: 0
      +commentCount: 0
      +upVotes: 0
      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5675552"
      +editedAt: null
      +createdAt: DateTimeImmutable @1702452208 {#2035
        date: 2023-12-13 08:23:28.0 +01:00
      }
      +"title": 220282
    }
    10 => App\Entity\EntryComment {#1604
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
      +body: """
        ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
        \n
        I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
        """
      +lang: "en"
      +isAdult: false
      +favouriteCount: 5
      +score: 0
      +lastActive: DateTime @1702404677 {#1620
        date: 2023-12-12 19:11:17.0 +01:00
      }
      +ip: null
      +tags: null
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        "@wischi@programming.dev"
        "@jdaxe@infosec.pub"
      ]
      +children: Doctrine\ORM\PersistentCollection {#1619 …}
      +nested: Doctrine\ORM\PersistentCollection {#1701 …}
      +votes: Doctrine\ORM\PersistentCollection {#1687 …}
      +reports: Doctrine\ORM\PersistentCollection {#1689 …}
      +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
      +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
      -id: 218871
      -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
      +ranking: 0
      +commentCount: 0
      +upVotes: 0
      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5660702"
      +editedAt: null
      +createdAt: DateTimeImmutable @1702404677 {#1613
        date: 2023-12-12 19:11:17.0 +01:00
      }
      +"title": 218871
    }
    19 => App\Entity\EntryComment {#1606
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
      +body: """
        Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
        \n
        But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
        """
      +lang: "en"
      +isAdult: false
      +favouriteCount: 0
      +score: 0
      +lastActive: DateTime @1702403586 {#1428
        date: 2023-12-12 18:53:06.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@wischi@programming.dev"
        "@dgmib@lemmy.world"
      ]
      +children: Doctrine\ORM\PersistentCollection {#1671 …}
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      +reports: Doctrine\ORM\PersistentCollection {#1678 …}
      +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
      +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
      -id: 218823
      -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
      +ranking: 0
      +commentCount: 0
      +upVotes: 0
      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5660232"
      +editedAt: DateTimeImmutable @1704111301 {#1440
        date: 2024-01-01 13:15:01.0 +01:00
      }
      +createdAt: DateTimeImmutable @1702403586 {#1434
        date: 2023-12-12 18:53:06.0 +01:00
      }
      +"title": 218823
    }
    0 => App\Entity\EntryComment {#2140
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
      +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
      +lang: "en"
      +isAdult: false
      +favouriteCount: 8
      +score: 0
      +lastActive: DateTime @1702452984 {#2092
        date: 2023-12-13 08:36:24.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@wischi@programming.dev"
        "@CallumWells@lemmy.ml"
      ]
      +children: Doctrine\ORM\PersistentCollection {#2133 …}
      +nested: Doctrine\ORM\PersistentCollection {#2131 …}
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      +reports: Doctrine\ORM\PersistentCollection {#2345 …}
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      +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
      -id: 220297
      -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
      +ranking: 0
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      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5675726"
      +editedAt: DateTimeImmutable @1704259104 {#2094
        date: 2024-01-03 06:18:24.0 +01:00
      }
      +createdAt: DateTimeImmutable @1702452984 {#2241
        date: 2023-12-13 08:36:24.0 +01:00
      }
      +"title": 220297
    }
  ]
  -id: 21759
  -titleTs: "'+2':4 '1':3 '2':2 '6':1"
  -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
  +cross: false
  +upVotes: 0
  +downVotes: 0
  +ranking: 1702449986
  +visibility: "visible             "
  +apId: "https://programming.dev/post/7145882"
  +editedAt: DateTimeImmutable @1703972491 {#2652
    date: 2023-12-30 22:41:31.0 +01:00
  }
  +createdAt: DateTimeImmutable @1702363586 {#2548
    date: 2023-12-12 07:46:26.0 +01:00
  }
  +__isInitialized__: true
   …2
}
"App\Security\Voter\UserVoter"
Proxies\__CG__\App\Entity\Entry {#1582
  +user: App\Entity\User {#261 …}
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: Proxies\__CG__\App\Entity\Image {#2758 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
  +slug: "6-2-1-2"
  +title: "6÷2(1+2)"
  +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
  +body: """
    [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
    \n
    I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
    \n
    It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
    """
  +type: "image"
  +lang: "en"
  +isOc: false
  +hasEmbed: true
  +commentCount: 242
  +favouriteCount: 801
  +score: 0
  +isAdult: false
  +sticky: false
  +lastActive: DateTime @1711667888 {#2265
    date: 2024-03-29 00:18:08.0 +01:00
  }
  +ip: null
  +adaAmount: 0
  +tags: null
  +mentions: null
  +comments: Doctrine\ORM\PersistentCollection {#2779 …}
  +votes: Doctrine\ORM\PersistentCollection {#2777 …}
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  +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
  +badges: Doctrine\ORM\PersistentCollection {#2821 …}
  +children: [
    15 => App\Entity\EntryComment {#2099
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
      +body: """
        Chat GPT’s answer for me:\n
        \n
        > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
        > \n
        > 1. Implicit multiplication with higher priority:\n
        > \n
        > [ \frac{6}{2}(1+2) ]\n
        > \n
        > First, solve the parentheses:\n
        > \n
        > [ \frac{6}{2}(3) ]\n
        > \n
        > Now, perform the division:\n
        > \n
        > [ 3 \times 3 = 9 ]\n
        > \n
        > 2. Implicit multiplication with the same priority as division:\n
        > \n
        > [ \frac{6}{2(1+2)} ]\n
        > \n
        > Again, solve the parentheses:\n
        > \n
        > [ \frac{6}{2(3)} ]\n
        > \n
        > Now, perform the multiplication first:\n
        > \n
        > [ \frac{6}{6} = 1 ]\n
        > \n
        > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
        \n
        I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
        """
      +lang: "en"
      +isAdult: false
      +favouriteCount: 0
      +score: 0
      +lastActive: DateTime @1702509858 {#2104
        date: 2023-12-14 00:24:18.0 +01:00
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      +ip: null
      +tags: null
      +mentions: [
        "@wischi@programming.dev"
        "@Littleborat@feddit.de"
        "@Supervisor194@lemmy.world"
      ]
      +children: Doctrine\ORM\PersistentCollection {#2111 …}
      +nested: Doctrine\ORM\PersistentCollection {#2102 …}
      +votes: Doctrine\ORM\PersistentCollection {#2103 …}
      +reports: Doctrine\ORM\PersistentCollection {#2110 …}
      +favourites: Doctrine\ORM\PersistentCollection {#2112 …}
      +notifications: Doctrine\ORM\PersistentCollection {#2114 …}
      -id: 220939
      -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
      +ranking: 0
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      +downVotes: 0
      +visibility: "visible             "
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        date: 2023-12-14 00:24:18.0 +01:00
      }
      +"title": 220939
    }
    13 => App\Entity\EntryComment {#2136
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      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
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      +body: "?"
      +lang: "en"
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        date: 2023-12-13 18:51:37.0 +01:00
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        "@wischi@programming.dev"
        "@agni@lemmings.world"
      ]
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      -id: 220703
      -bodyTs: ""
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        date: 2023-12-13 18:51:37.0 +01:00
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      +"title": 220703
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    14 => App\Entity\EntryComment {#2393
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      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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      +body: """
        Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
        \n
        There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
        \n
        An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
        """
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        date: 2023-12-12 20:35:46.0 +01:00
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    11 => App\Entity\EntryComment {#2323
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      +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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        date: 2023-12-13 18:19:51.0 +01:00
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    }
    12 => App\Entity\EntryComment {#1909
      +user: App\Entity\User {#261 …}
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      +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
      +body: "Thank you for taking the time to read it."
      +lang: "en"
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        date: 2023-12-12 20:21:43.0 +01:00
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        "@friendly_ghost@beehaw.org"
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        date: 2023-12-12 20:21:43.0 +01:00
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    18 => App\Entity\EntryComment {#2081
      +user: App\Entity\User {#261 …}
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      +body: "Did you read the blog post? I also quoted the exact same thing."
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        date: 2023-12-13 08:25:44.0 +01:00
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        date: 2023-12-13 08:25:44.0 +01:00
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    1 => App\Entity\EntryComment {#2344
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      +body: """
        You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
        \n
        My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
        """
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        date: 2023-12-13 08:47:01.0 +01:00
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        "@Alcatorda@lemmy.world"
      ]
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      -id: 220301
      -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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        date: 2023-12-13 08:47:01.0 +01:00
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      +"title": 220301
    }
    7 => App\Entity\EntryComment {#2460
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      +body: """
        The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
        \n
        So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
        \n
        There really is no agreed upon standard even amongst experts.
        """
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        "@Perfide@reddthat.com"
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    8 => App\Entity\EntryComment {#1728
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      +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      +"title": 218912
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    5 => App\Entity\EntryComment {#2059
      +user: App\Entity\User {#261 …}
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      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
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      +body: "Thank you for taking the time reading it."
      +lang: "en"
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        "@wren@sopuli.xyz"
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      -id: 220929
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    }
    6 => App\Entity\EntryComment {#1717
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      +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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        "@frezik@midwest.social"
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      +"title": 218930
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    4 => App\Entity\EntryComment {#2360
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      +body: "That’s actually a great way of putting it 🤣"
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        "@atomicorange@lemmy.world"
      ]
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    3 => App\Entity\EntryComment {#2115
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      +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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        "@Abnorc@lemm.ee"
      ]
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        date: 2024-01-09 06:33:54.0 +01:00
      }
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        date: 2023-12-14 21:03:05.0 +01:00
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    2 => App\Entity\EntryComment {#1550
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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      +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
      +body: """
        The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
        \n
        It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
        """
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        date: 2023-12-12 19:00:31.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@wischi@programming.dev"
        "@CarbonScored@hexbear.net"
      ]
      +children: Doctrine\ORM\PersistentCollection {#1525 …}
      +nested: Doctrine\ORM\PersistentCollection {#1566 …}
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      +reports: Doctrine\ORM\PersistentCollection {#1554 …}
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      +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
      -id: 218846
      -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
      +ranking: 0
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      +apId: "https://programming.dev/comment/5660419"
      +editedAt: DateTimeImmutable @1704104200 {#1559
        date: 2024-01-01 11:16:40.0 +01:00
      }
      +createdAt: DateTimeImmutable @1702404031 {#1548
        date: 2023-12-12 19:00:31.0 +01:00
      }
      +"title": 218846
    }
    16 => App\Entity\EntryComment {#2030
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
      +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
      +lang: "en"
      +isAdult: false
      +favouriteCount: 3
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        date: 2023-12-12 21:08:12.0 +01:00
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        "@wischi@programming.dev"
        "@Prunebutt@feddit.de"
        "@Prunebutt"
        "@SpaceNoodle@lemmy.world"
      ]
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      +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
      -id: 219156
      -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
      +ranking: 0
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      +createdAt: DateTimeImmutable @1702411692 {#2023
        date: 2023-12-12 21:08:12.0 +01:00
      }
      +"title": 219156
    }
    9 => App\Entity\EntryComment {#1598
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
      +body: """
        “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
        \n
        For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
        \n
        You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
        \n
        6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
        \n
        You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
        \n
        1 / 2 * 6 * 3\n
        \n
        This also works for addition and subtraction\n
        \n
        7 + 8 - 5\n
        \n
        You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
        \n
        8 - 5 + 7\n
        \n
        or like this\n
        \n
        0 - 5 + 8 + 7\n
        \n
        because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
        \n
        -5 + 8 + 7\n
        \n
        That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
        """
      +lang: "en"
      +isAdult: false
      +favouriteCount: 2
      +score: 0
      +lastActive: DateTime @1702405641 {#1711
        date: 2023-12-12 19:27:21.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@wischi@programming.dev"
        "@Rinox@feddit.it"
      ]
      +children: Doctrine\ORM\PersistentCollection {#1629 …}
      +nested: Doctrine\ORM\PersistentCollection {#1626 …}
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      +reports: Doctrine\ORM\PersistentCollection {#1597 …}
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      +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
      -id: 218909
      -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
      +ranking: 0
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      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5661037"
      +editedAt: DateTimeImmutable @1704106921 {#1616
        date: 2024-01-01 12:02:01.0 +01:00
      }
      +createdAt: DateTimeImmutable @1702405641 {#1611
        date: 2023-12-12 19:27:21.0 +01:00
      }
      +"title": 218909
    }
    17 => App\Entity\EntryComment {#2031
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
      +body: """
        Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
        \n
        Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
        """
      +lang: "en"
      +isAdult: false
      +favouriteCount: 2
      +score: 0
      +lastActive: DateTime @1702452208 {#2027
        date: 2023-12-13 08:23:28.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@wischi@programming.dev"
        "@SkiDude@lemmy.world"
      ]
      +children: Doctrine\ORM\PersistentCollection {#2037 …}
      +nested: Doctrine\ORM\PersistentCollection {#2075 …}
      +votes: Doctrine\ORM\PersistentCollection {#2079 …}
      +reports: Doctrine\ORM\PersistentCollection {#2078 …}
      +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
      +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
      -id: 220282
      -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
      +ranking: 0
      +commentCount: 0
      +upVotes: 0
      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5675552"
      +editedAt: null
      +createdAt: DateTimeImmutable @1702452208 {#2035
        date: 2023-12-13 08:23:28.0 +01:00
      }
      +"title": 220282
    }
    10 => App\Entity\EntryComment {#1604
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
      +body: """
        ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
        \n
        I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
        """
      +lang: "en"
      +isAdult: false
      +favouriteCount: 5
      +score: 0
      +lastActive: DateTime @1702404677 {#1620
        date: 2023-12-12 19:11:17.0 +01:00
      }
      +ip: null
      +tags: null
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        "@wischi@programming.dev"
        "@jdaxe@infosec.pub"
      ]
      +children: Doctrine\ORM\PersistentCollection {#1619 …}
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      -id: 218871
      -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
      +ranking: 0
      +commentCount: 0
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      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5660702"
      +editedAt: null
      +createdAt: DateTimeImmutable @1702404677 {#1613
        date: 2023-12-12 19:11:17.0 +01:00
      }
      +"title": 218871
    }
    19 => App\Entity\EntryComment {#1606
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
      +body: """
        Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
        \n
        But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
        """
      +lang: "en"
      +isAdult: false
      +favouriteCount: 0
      +score: 0
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        date: 2023-12-12 18:53:06.0 +01:00
      }
      +ip: null
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        "@wischi@programming.dev"
        "@dgmib@lemmy.world"
      ]
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      -id: 218823
      -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
      +ranking: 0
      +commentCount: 0
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      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5660232"
      +editedAt: DateTimeImmutable @1704111301 {#1440
        date: 2024-01-01 13:15:01.0 +01:00
      }
      +createdAt: DateTimeImmutable @1702403586 {#1434
        date: 2023-12-12 18:53:06.0 +01:00
      }
      +"title": 218823
    }
    0 => App\Entity\EntryComment {#2140
      +user: App\Entity\User {#261 …}
      +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
      +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
      +image: null
      +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
      +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
      +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
      +lang: "en"
      +isAdult: false
      +favouriteCount: 8
      +score: 0
      +lastActive: DateTime @1702452984 {#2092
        date: 2023-12-13 08:36:24.0 +01:00
      }
      +ip: null
      +tags: null
      +mentions: [
        "@wischi@programming.dev"
        "@CallumWells@lemmy.ml"
      ]
      +children: Doctrine\ORM\PersistentCollection {#2133 …}
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      -id: 220297
      -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
      +ranking: 0
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      +downVotes: 0
      +visibility: "visible             "
      +apId: "https://programming.dev/comment/5675726"
      +editedAt: DateTimeImmutable @1704259104 {#2094
        date: 2024-01-03 06:18:24.0 +01:00
      }
      +createdAt: DateTimeImmutable @1702452984 {#2241
        date: 2023-12-13 08:36:24.0 +01:00
      }
      +"title": 220297
    }
  ]
  -id: 21759
  -titleTs: "'+2':4 '1':3 '2':2 '6':1"
  -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
  +cross: false
  +upVotes: 0
  +downVotes: 0
  +ranking: 1702449986
  +visibility: "visible             "
  +apId: "https://programming.dev/post/7145882"
  +editedAt: DateTimeImmutable @1703972491 {#2652
    date: 2023-12-30 22:41:31.0 +01:00
  }
  +createdAt: DateTimeImmutable @1702363586 {#2548
    date: 2023-12-12 07:46:26.0 +01:00
  }
  +__isInitialized__: true
   …2
}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2099
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
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    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
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    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099}
      13 => App\Entity\EntryComment {#2136
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702489897 {#2143
          date: 2023-12-13 18:51:37.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        +nested: Doctrine\ORM\PersistentCollection {#2072 …}
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        +reports: Doctrine\ORM\PersistentCollection {#2066 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2067 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2049 …}
        -id: 220703
        -bodyTs: ""
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5686263"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702489897 {#2135
          date: 2023-12-13 18:51:37.0 +01:00
        }
        +"title": 220703
      }
      14 => App\Entity\EntryComment {#2393
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
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        +"title": 219075
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      11 => App\Entity\EntryComment {#2323
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
        }
        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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        +lastActive: DateTime @1702408903 {#1910
          date: 2023-12-12 20:21:43.0 +01:00
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          "@friendly_ghost@beehaw.org"
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          date: 2023-12-12 20:21:43.0 +01:00
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        +"title": 219050
      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
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          date: 2023-12-13 08:25:44.0 +01:00
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          "@dgmib@lemmy.world"
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          date: 2023-12-13 08:25:44.0 +01:00
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          date: 2023-12-13 08:47:01.0 +01:00
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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      8 => App\Entity\EntryComment {#1728
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
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          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 6
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          date: 2023-12-12 19:34:49.0 +01:00
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          "@frezik@midwest.social"
        ]
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        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
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          date: 2023-12-12 20:21:13.0 +01:00
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          "@atomicorange@lemmy.world"
        ]
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          date: 2023-12-12 20:21:13.0 +01:00
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        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
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          date: 2023-12-14 21:03:05.0 +01:00
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        +ip: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
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        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
        }
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +downVotes: 0
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        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          date: 2023-12-12 18:53:06.0 +01:00
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          date: 2023-12-13 08:36:24.0 +01:00
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5675726"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
  +body: """
    Chat GPT’s answer for me:\n
    \n
    > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
    > \n
    > 1. Implicit multiplication with higher priority:\n
    > \n
    > [ \frac{6}{2}(1+2) ]\n
    > \n
    > First, solve the parentheses:\n
    > \n
    > [ \frac{6}{2}(3) ]\n
    > \n
    > Now, perform the division:\n
    > \n
    > [ 3 \times 3 = 9 ]\n
    > \n
    > 2. Implicit multiplication with the same priority as division:\n
    > \n
    > [ \frac{6}{2(1+2)} ]\n
    > \n
    > Again, solve the parentheses:\n
    > \n
    > [ \frac{6}{2(3)} ]\n
    > \n
    > Now, perform the multiplication first:\n
    > \n
    > [ \frac{6}{6} = 1 ]\n
    > \n
    > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
    \n
    I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
    """
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    "@wischi@programming.dev"
    "@Littleborat@feddit.de"
    "@Supervisor194@lemmy.world"
  ]
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  -id: 220939
  -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
  +ranking: 0
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  +"title": 220939
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2099
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
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    +hasEmbed: true
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    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
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      15 => App\Entity\EntryComment {#2099}
      13 => App\Entity\EntryComment {#2136
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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          date: 2023-12-13 18:51:37.0 +01:00
        }
        +"title": 220703
      }
      14 => App\Entity\EntryComment {#2393
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
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      11 => App\Entity\EntryComment {#2323
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
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        +lastActive: DateTime @1702408903 {#1910
          date: 2023-12-12 20:21:43.0 +01:00
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          "@friendly_ghost@beehaw.org"
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          date: 2023-12-12 20:21:43.0 +01:00
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      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
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          date: 2023-12-13 08:25:44.0 +01:00
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          date: 2023-12-13 08:47:01.0 +01:00
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
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        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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      }
      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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          "@kogasa@programming.dev"
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          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-14 00:11:27.0 +01:00
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
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      }
      6 => App\Entity\EntryComment {#1717
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
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          "@frezik@midwest.social"
        ]
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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          "@atomicorange@lemmy.world"
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      3 => App\Entity\EntryComment {#2115
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          "@Abnorc@lemm.ee"
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          date: 2024-01-09 06:33:54.0 +01:00
        }
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          date: 2023-12-14 21:03:05.0 +01:00
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      2 => App\Entity\EntryComment {#1550
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        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +reports: Doctrine\ORM\PersistentCollection {#2021 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
  +body: """
    Chat GPT’s answer for me:\n
    \n
    > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
    > \n
    > 1. Implicit multiplication with higher priority:\n
    > \n
    > [ \frac{6}{2}(1+2) ]\n
    > \n
    > First, solve the parentheses:\n
    > \n
    > [ \frac{6}{2}(3) ]\n
    > \n
    > Now, perform the division:\n
    > \n
    > [ 3 \times 3 = 9 ]\n
    > \n
    > 2. Implicit multiplication with the same priority as division:\n
    > \n
    > [ \frac{6}{2(1+2)} ]\n
    > \n
    > Again, solve the parentheses:\n
    > \n
    > [ \frac{6}{2(3)} ]\n
    > \n
    > Now, perform the multiplication first:\n
    > \n
    > [ \frac{6}{6} = 1 ]\n
    > \n
    > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
    \n
    I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
    """
  +lang: "en"
  +isAdult: false
  +favouriteCount: 0
  +score: 0
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    date: 2023-12-14 00:24:18.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@Littleborat@feddit.de"
    "@Supervisor194@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2111 …}
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  -id: 220939
  -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
  +ranking: 0
  +commentCount: 0
  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5693966"
  +editedAt: null
  +createdAt: DateTimeImmutable @1702509858 {#2100
    date: 2023-12-14 00:24:18.0 +01:00
  }
  +"title": 220939
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2099
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099}
      13 => App\Entity\EntryComment {#2136
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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          date: 2023-12-13 18:51:37.0 +01:00
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        +"title": 220703
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      }
      12 => App\Entity\EntryComment {#1909
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@friendly_ghost@beehaw.org"
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      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
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      }
      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
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      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
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          date: 2023-12-14 00:11:27.0 +01:00
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
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        -id: 220929
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      }
      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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          "@frezik@midwest.social"
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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          "@atomicorange@lemmy.world"
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      3 => App\Entity\EntryComment {#2115
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          "@Abnorc@lemm.ee"
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          date: 2024-01-09 06:33:54.0 +01:00
        }
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          date: 2023-12-14 21:03:05.0 +01:00
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      2 => App\Entity\EntryComment {#1550
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
        +lastActive: DateTime @1702404031 {#1579
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
        +votes: Doctrine\ORM\PersistentCollection {#1562 …}
        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
        +reports: Doctrine\ORM\PersistentCollection {#2345 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
  +body: """
    Chat GPT’s answer for me:\n
    \n
    > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
    > \n
    > 1. Implicit multiplication with higher priority:\n
    > \n
    > [ \frac{6}{2}(1+2) ]\n
    > \n
    > First, solve the parentheses:\n
    > \n
    > [ \frac{6}{2}(3) ]\n
    > \n
    > Now, perform the division:\n
    > \n
    > [ 3 \times 3 = 9 ]\n
    > \n
    > 2. Implicit multiplication with the same priority as division:\n
    > \n
    > [ \frac{6}{2(1+2)} ]\n
    > \n
    > Again, solve the parentheses:\n
    > \n
    > [ \frac{6}{2(3)} ]\n
    > \n
    > Now, perform the multiplication first:\n
    > \n
    > [ \frac{6}{6} = 1 ]\n
    > \n
    > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
    \n
    I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
    """
  +lang: "en"
  +isAdult: false
  +favouriteCount: 0
  +score: 0
  +lastActive: DateTime @1702509858 {#2104
    date: 2023-12-14 00:24:18.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@Littleborat@feddit.de"
    "@Supervisor194@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2111 …}
  +nested: Doctrine\ORM\PersistentCollection {#2102 …}
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  -id: 220939
  -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
  +ranking: 0
  +commentCount: 0
  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5693966"
  +editedAt: null
  +createdAt: DateTimeImmutable @1702509858 {#2100
    date: 2023-12-14 00:24:18.0 +01:00
  }
  +"title": 220939
}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2136
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
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      date: 2024-03-29 00:18:08.0 +01:00
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
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        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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          date: 2023-12-14 00:24:18.0 +01:00
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      13 => App\Entity\EntryComment {#2136}
      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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        +body: "Thank you for taking the time to read it."
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
        +lastActive: DateTime @1702404031 {#1579
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
        +votes: Doctrine\ORM\PersistentCollection {#1562 …}
        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1556 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
        +votes: Doctrine\ORM\PersistentCollection {#2011 …}
        +reports: Doctrine\ORM\PersistentCollection {#2021 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2029 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
        +reports: Doctrine\ORM\PersistentCollection {#2345 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
  +body: "?"
  +lang: "en"
  +isAdult: false
  +favouriteCount: 1
  +score: 0
  +lastActive: DateTime @1702489897 {#2143
    date: 2023-12-13 18:51:37.0 +01:00
  }
  +ip: null
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    "@wischi@programming.dev"
    "@agni@lemmings.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2073 …}
  +nested: Doctrine\ORM\PersistentCollection {#2072 …}
  +votes: Doctrine\ORM\PersistentCollection {#2065 …}
  +reports: Doctrine\ORM\PersistentCollection {#2066 …}
  +favourites: Doctrine\ORM\PersistentCollection {#2067 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2049 …}
  -id: 220703
  -bodyTs: ""
  +ranking: 0
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  +visibility: "visible             "
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    date: 2023-12-13 18:51:37.0 +01:00
  }
  +"title": 220703
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2136
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
    }
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      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
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        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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          date: 2023-12-14 00:24:18.0 +01:00
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      13 => App\Entity\EntryComment {#2136}
      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
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          "@wren@sopuli.xyz"
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2381 …}
        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
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        +score: 0
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          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
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        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
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        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
        +reports: Doctrine\ORM\PersistentCollection {#2345 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
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      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
  +body: "?"
  +lang: "en"
  +isAdult: false
  +favouriteCount: 1
  +score: 0
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    date: 2023-12-13 18:51:37.0 +01:00
  }
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    "@wischi@programming.dev"
    "@agni@lemmings.world"
  ]
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  -id: 220703
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    date: 2023-12-13 18:51:37.0 +01:00
  }
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2136
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  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
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    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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    +lang: "en"
    +isOc: false
    +hasEmbed: true
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    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
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      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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          date: 2023-12-14 00:24:18.0 +01:00
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      }
      13 => App\Entity\EntryComment {#2136}
      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
        ]
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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          "@friendly_ghost@beehaw.org"
        ]
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      }
      18 => App\Entity\EntryComment {#2081
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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      }
      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
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          "@wren@sopuli.xyz"
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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          "@frezik@midwest.social"
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661239"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2381 …}
        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
        +lastActive: DateTime @1702404031 {#1579
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
        +votes: Doctrine\ORM\PersistentCollection {#1562 …}
        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1556 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
        +votes: Doctrine\ORM\PersistentCollection {#2011 …}
        +reports: Doctrine\ORM\PersistentCollection {#2021 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2029 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
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      date: 2023-12-12 07:46:26.0 +01:00
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     …2
  }
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}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2393
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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      15 => App\Entity\EntryComment {#2099
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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      14 => App\Entity\EntryComment {#2393}
      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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        +body: "Thank you for taking the time to read it."
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      18 => App\Entity\EntryComment {#2081
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661239"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2381 …}
        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
        +lastActive: DateTime @1702404031 {#1579
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
        +votes: Doctrine\ORM\PersistentCollection {#1562 …}
        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1556 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
        +votes: Doctrine\ORM\PersistentCollection {#2011 …}
        +reports: Doctrine\ORM\PersistentCollection {#2021 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2029 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
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    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
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  +body: """
    Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
    \n
    There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
    \n
    An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
    """
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    "@nadiaraven@lemmy.world"
  ]
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"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2393
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
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    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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      15 => App\Entity\EntryComment {#2099
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@Littleborat@feddit.de"
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          date: 2023-12-14 00:24:18.0 +01:00
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      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          "@agni@lemmings.world"
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      14 => App\Entity\EntryComment {#2393}
      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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      18 => App\Entity\EntryComment {#2081
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      6 => App\Entity\EntryComment {#1717
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
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        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          date: 2023-12-12 19:00:31.0 +01:00
        }
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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        +isAdult: false
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          date: 2023-12-12 19:27:21.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
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        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
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        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
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        +isAdult: false
        +favouriteCount: 5
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          date: 2023-12-12 19:11:17.0 +01:00
        }
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
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          date: 2023-12-12 18:53:06.0 +01:00
        }
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5675726"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
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    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
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     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
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  +body: """
    Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
    \n
    There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
    \n
    An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
    """
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    "@wischi@programming.dev"
    "@nadiaraven@lemmy.world"
  ]
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2393
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  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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      15 => App\Entity\EntryComment {#2099
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
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          date: 2023-12-14 00:24:18.0 +01:00
        }
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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      14 => App\Entity\EntryComment {#2393}
      11 => App\Entity\EntryComment {#2323
        +user: App\Entity\User {#261 …}
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      }
      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@friendly_ghost@beehaw.org"
        ]
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      18 => App\Entity\EntryComment {#2081
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
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        -id: 220301
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@Perfide@reddthat.com"
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
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        +notifications: Doctrine\ORM\PersistentCollection {#2165 …}
        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
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        +apId: "https://programming.dev/comment/5693660"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:34:49.0 +01:00
        }
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
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        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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        +isAdult: false
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
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        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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        +isAdult: false
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        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
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        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
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    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
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     …2
  }
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  +body: """
    Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
    \n
    There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
    \n
    An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
    """
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    "@nadiaraven@lemmy.world"
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}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2323
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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      15 => App\Entity\EntryComment {#2099
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
        ]
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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          date: 2023-12-13 08:25:44.0 +01:00
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      1 => App\Entity\EntryComment {#2344
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5675867"
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        +createdAt: DateTimeImmutable @1702453621 {#2332
          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@Perfide@reddthat.com"
        ]
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
        +ranking: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
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        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:34:49.0 +01:00
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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        +apId: "https://programming.dev/comment/5662341"
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        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-14 21:03:05.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          date: 2023-12-12 19:00:31.0 +01:00
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
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          date: 2023-12-12 19:27:21.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
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        +downVotes: 0
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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        +isAdult: false
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          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
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        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
        }
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
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        +score: 0
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          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
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          date: 2024-01-01 13:15:01.0 +01:00
        }
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          date: 2023-12-12 18:53:06.0 +01:00
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      0 => App\Entity\EntryComment {#2140
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
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    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
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      date: 2023-12-30 22:41:31.0 +01:00
    }
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      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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  +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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    "@MinekPo1@lemmygrad.ml"
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2323
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  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
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          date: 2023-12-14 00:24:18.0 +01:00
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@agni@lemmings.world"
        ]
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        -bodyTs: ""
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
        ]
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      11 => App\Entity\EntryComment {#2323}
      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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          "@friendly_ghost@beehaw.org"
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          date: 2023-12-12 20:21:43.0 +01:00
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      18 => App\Entity\EntryComment {#2081
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
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          "@dgmib@lemmy.world"
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          date: 2023-12-13 08:25:44.0 +01:00
        }
        +"title": 220285
      }
      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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        +isAdult: false
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5675867"
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        +createdAt: DateTimeImmutable @1702453621 {#2332
          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@Perfide@reddthat.com"
        ]
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      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405744 {#1721
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1737 …}
        +nested: Doctrine\ORM\PersistentCollection {#1732 …}
        +votes: Doctrine\ORM\PersistentCollection {#1735 …}
        +reports: Doctrine\ORM\PersistentCollection {#1729 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1719 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1714 …}
        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661078"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
        +nested: Doctrine\ORM\PersistentCollection {#2057 …}
        +votes: Doctrine\ORM\PersistentCollection {#2055 …}
        +reports: Doctrine\ORM\PersistentCollection {#2054 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2053 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2165 …}
        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5693660"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 6
        +score: 0
        +lastActive: DateTime @1702406089 {#1720
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1741 …}
        +nested: Doctrine\ORM\PersistentCollection {#1707 …}
        +votes: Doctrine\ORM\PersistentCollection {#2464 …}
        +reports: Doctrine\ORM\PersistentCollection {#2448 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2447 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2462 …}
        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2381 …}
        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
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          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
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          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
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          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
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        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          date: 2023-12-12 18:53:06.0 +01:00
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
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          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
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          "@CallumWells@lemmy.ml"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
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    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
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      date: 2023-12-30 22:41:31.0 +01:00
    }
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      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
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  +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
  +lang: "en"
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    "@MinekPo1@lemmygrad.ml"
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2323
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  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
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      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
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          date: 2023-12-14 00:24:18.0 +01:00
        }
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -bodyTs: ""
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
        ]
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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          "@friendly_ghost@beehaw.org"
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          date: 2023-12-12 20:21:43.0 +01:00
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      18 => App\Entity\EntryComment {#2081
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
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          date: 2023-12-13 08:25:44.0 +01:00
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      }
      1 => App\Entity\EntryComment {#2344
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
        +ranking: 0
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          date: 2023-12-13 08:47:01.0 +01:00
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        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405744 {#1721
          date: 2023-12-12 19:29:04.0 +01:00
        }
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1737 …}
        +nested: Doctrine\ORM\PersistentCollection {#1732 …}
        +votes: Doctrine\ORM\PersistentCollection {#1735 …}
        +reports: Doctrine\ORM\PersistentCollection {#1729 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1719 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1714 …}
        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
        +nested: Doctrine\ORM\PersistentCollection {#2057 …}
        +votes: Doctrine\ORM\PersistentCollection {#2055 …}
        +reports: Doctrine\ORM\PersistentCollection {#2054 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2165 …}
        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
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        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 6
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          date: 2023-12-12 19:34:49.0 +01:00
        }
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1741 …}
        +nested: Doctrine\ORM\PersistentCollection {#1707 …}
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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        +apId: "https://programming.dev/comment/5662341"
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        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
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          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
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          date: 2023-12-12 19:27:21.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
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        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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        +isAdult: false
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          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
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          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +downVotes: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 18:53:06.0 +01:00
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          date: 2023-12-13 08:36:24.0 +01:00
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
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    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
  +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
  +lang: "en"
  +isAdult: false
  +favouriteCount: 2
  +score: 0
  +lastActive: DateTime @1702487991 {#2329
    date: 2023-12-13 18:19:51.0 +01:00
  }
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    "@wischi@programming.dev"
    "@MinekPo1@lemmygrad.ml"
  ]
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  -id: 220678
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    date: 2023-12-13 18:19:51.0 +01:00
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  +"title": 220678
}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1909
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
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    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
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    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
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    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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          date: 2023-12-14 00:24:18.0 +01:00
        }
        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
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        +body: "?"
        +lang: "en"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
        ]
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        -id: 219075
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          date: 2023-12-12 20:35:46.0 +01:00
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      }
      11 => App\Entity\EntryComment {#2323
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
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          "@MinekPo1@lemmygrad.ml"
        ]
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        -id: 220678
        -bodyTs: "'articl':8 'calcul':2 'follow':10 'interpret':14 'juxtaposit':12 'list':5 'way':17 'weak':11 'would':13"
        +ranking: 0
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          date: 2023-12-13 18:19:51.0 +01:00
        }
        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909}
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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          date: 2023-12-13 08:25:44.0 +01:00
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          "@dgmib@lemmy.world"
        ]
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        -id: 220285
        -bodyTs: "'also':8 'blog':5 'exact':11 'post':6 'quot':9 'read':3 'thing':13"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675583"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452344 {#2062
          date: 2023-12-13 08:25:44.0 +01:00
        }
        +"title": 220285
      }
      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        +nested: Doctrine\ORM\PersistentCollection {#2454 …}
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        +reports: Doctrine\ORM\PersistentCollection {#2470 …}
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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        +createdAt: DateTimeImmutable @1702408839 {#2456
          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
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          date: 2023-12-12 19:29:04.0 +01:00
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
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        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:34:49.0 +01:00
        }
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-14 21:03:05.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          date: 2023-12-12 19:00:31.0 +01:00
        }
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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          date: 2023-12-12 19:27:21.0 +01:00
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
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        +"title": 218909
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      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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          date: 2023-12-13 08:23:28.0 +01:00
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        -id: 220282
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        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +downVotes: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
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        +score: 0
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          date: 2023-12-12 18:53:06.0 +01:00
        }
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        +tags: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
  +body: "Thank you for taking the time to read it."
  +lang: "en"
  +isAdult: false
  +favouriteCount: 1
  +score: 0
  +lastActive: DateTime @1702408903 {#1910
    date: 2023-12-12 20:21:43.0 +01:00
  }
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    "@wischi@programming.dev"
    "@friendly_ghost@beehaw.org"
  ]
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  -id: 219050
  -bodyTs: "'read':8 'take':4 'thank':1 'time':6"
  +ranking: 0
  +commentCount: 0
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    date: 2023-12-12 20:21:43.0 +01:00
  }
  +"title": 219050
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1909
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-14 00:24:18.0 +01:00
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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          date: 2023-12-14 00:24:18.0 +01:00
        }
        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
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          date: 2023-12-13 18:51:37.0 +01:00
        }
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        +tags: null
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2073 …}
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        -id: 220703
        -bodyTs: ""
        +ranking: 0
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        +downVotes: 0
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          date: 2023-12-13 18:51:37.0 +01:00
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        +"title": 220703
      }
      14 => App\Entity\EntryComment {#2393
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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        +isAdult: false
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        +tags: null
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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        -id: 219075
        -bodyTs: "'addit':91 'altern':78 'basic':101 'blame':75 'certain':51 'come':113 'comment':38 'divis':115 'drop':82 'embarrass':30 'fix':15 'group':66 'invers':84 'like':67 'look':35 'mani':18 'math':43 'md':62,70 'mnemon':59 'much':4 'multipl':89,112 'noth':26 'one':55,100 'pe':69 'pema':96 'pemda':99 'point':21 'post':12,44 'problem':107 'read':10 'realli':27,73 'say':88 'section':39 'see':47 'set':102 'student':104 'suggest':94 'take':6 'thank':1,19 'think':57,110 'time':8 'typo':17 'use':61,87 'viral':42 'without':65 'would':79"
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          date: 2023-12-12 20:35:46.0 +01:00
        }
        +"title": 219075
      }
      11 => App\Entity\EntryComment {#2323
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
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          "@wischi@programming.dev"
          "@MinekPo1@lemmygrad.ml"
        ]
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        -id: 220678
        -bodyTs: "'articl':8 'calcul':2 'follow':10 'interpret':14 'juxtaposit':12 'list':5 'way':17 'weak':11 'would':13"
        +ranking: 0
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          date: 2023-12-13 18:19:51.0 +01:00
        }
        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909}
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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          date: 2023-12-13 08:25:44.0 +01:00
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        +notifications: Doctrine\ORM\PersistentCollection {#2090 …}
        -id: 220285
        -bodyTs: "'also':8 'blog':5 'exact':11 'post':6 'quot':9 'read':3 'thing':13"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702452344 {#2062
          date: 2023-12-13 08:25:44.0 +01:00
        }
        +"title": 220285
      }
      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702453621 {#2347
          date: 2023-12-13 08:47:01.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2042 …}
        +nested: Doctrine\ORM\PersistentCollection {#2060 …}
        +votes: Doctrine\ORM\PersistentCollection {#2331 …}
        +reports: Doctrine\ORM\PersistentCollection {#2289 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2326 …}
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
        +ranking: 0
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
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      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
        }
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      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
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          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
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          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
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          date: 2023-12-12 20:21:13.0 +01:00
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
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        -id: 219046
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          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          date: 2023-12-14 21:03:05.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
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      }
      16 => App\Entity\EntryComment {#2030
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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          date: 2023-12-12 21:08:12.0 +01:00
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      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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          "@Rinox@feddit.it"
        ]
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
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      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
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          date: 2023-12-12 19:11:17.0 +01:00
        }
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 18:53:06.0 +01:00
        }
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
  +body: "Thank you for taking the time to read it."
  +lang: "en"
  +isAdult: false
  +favouriteCount: 1
  +score: 0
  +lastActive: DateTime @1702408903 {#1910
    date: 2023-12-12 20:21:43.0 +01:00
  }
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    "@wischi@programming.dev"
    "@friendly_ghost@beehaw.org"
  ]
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  -id: 219050
  -bodyTs: "'read':8 'take':4 'thank':1 'time':6"
  +ranking: 0
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    date: 2023-12-12 20:21:43.0 +01:00
  }
  +"title": 219050
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1909
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-14 00:24:18.0 +01:00
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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          date: 2023-12-14 00:24:18.0 +01:00
        }
        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702489897 {#2143
          date: 2023-12-13 18:51:37.0 +01:00
        }
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        +tags: null
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2073 …}
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        +reports: Doctrine\ORM\PersistentCollection {#2066 …}
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        -id: 220703
        -bodyTs: ""
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
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          date: 2023-12-13 18:51:37.0 +01:00
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        +"title": 220703
      }
      14 => App\Entity\EntryComment {#2393
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
        +lang: "en"
        +isAdult: false
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        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1381 …}
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        -id: 219075
        -bodyTs: "'addit':91 'altern':78 'basic':101 'blame':75 'certain':51 'come':113 'comment':38 'divis':115 'drop':82 'embarrass':30 'fix':15 'group':66 'invers':84 'like':67 'look':35 'mani':18 'math':43 'md':62,70 'mnemon':59 'much':4 'multipl':89,112 'noth':26 'one':55,100 'pe':69 'pema':96 'pemda':99 'point':21 'post':12,44 'problem':107 'read':10 'realli':27,73 'say':88 'section':39 'see':47 'set':102 'student':104 'suggest':94 'take':6 'thank':1,19 'think':57,110 'time':8 'typo':17 'use':61,87 'viral':42 'without':65 'would':79"
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          date: 2023-12-12 20:35:46.0 +01:00
        }
        +"title": 219075
      }
      11 => App\Entity\EntryComment {#2323
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
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        }
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          "@wischi@programming.dev"
          "@MinekPo1@lemmygrad.ml"
        ]
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        -id: 220678
        -bodyTs: "'articl':8 'calcul':2 'follow':10 'interpret':14 'juxtaposit':12 'list':5 'way':17 'weak':11 'would':13"
        +ranking: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702487991 {#2333
          date: 2023-12-13 18:19:51.0 +01:00
        }
        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909}
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702452344 {#2096
          date: 2023-12-13 08:25:44.0 +01:00
        }
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2098 …}
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        +reports: Doctrine\ORM\PersistentCollection {#2095 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2090 …}
        -id: 220285
        -bodyTs: "'also':8 'blog':5 'exact':11 'post':6 'quot':9 'read':3 'thing':13"
        +ranking: 0
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        +visibility: "visible             "
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702452344 {#2062
          date: 2023-12-13 08:25:44.0 +01:00
        }
        +"title": 220285
      }
      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          date: 2023-12-13 08:47:01.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
        +ranking: 0
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        +downVotes: 0
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        +apId: "https://programming.dev/comment/5675867"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702453621 {#2332
          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        +favourites: Doctrine\ORM\PersistentCollection {#2467 …}
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
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          date: 2023-12-12 19:29:04.0 +01:00
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
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        +votes: Doctrine\ORM\PersistentCollection {#2055 …}
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        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
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          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:34:49.0 +01:00
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
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        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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        +apId: "https://programming.dev/comment/5662341"
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        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
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          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          date: 2023-12-12 19:00:31.0 +01:00
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
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      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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        +isAdult: false
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          date: 2023-12-12 19:27:21.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
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          date: 2023-12-12 19:27:21.0 +01:00
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        +"title": 218909
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      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
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        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
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        +"title": 218871
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      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
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          date: 2023-12-12 18:53:06.0 +01:00
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      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
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    +apId: "https://programming.dev/post/7145882"
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      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
  +body: "Thank you for taking the time to read it."
  +lang: "en"
  +isAdult: false
  +favouriteCount: 1
  +score: 0
  +lastActive: DateTime @1702408903 {#1910
    date: 2023-12-12 20:21:43.0 +01:00
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    "@wischi@programming.dev"
    "@friendly_ghost@beehaw.org"
  ]
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  -id: 219050
  -bodyTs: "'read':8 'take':4 'thank':1 'time':6"
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    date: 2023-12-12 20:21:43.0 +01:00
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}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2081
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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    +lang: "en"
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    +hasEmbed: true
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    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
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    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
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    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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      13 => App\Entity\EntryComment {#2136
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        +body: "?"
        +lang: "en"
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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          date: 2023-12-12 20:35:46.0 +01:00
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      }
      11 => App\Entity\EntryComment {#2323
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
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          "@MinekPo1@lemmygrad.ml"
        ]
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          date: 2023-12-13 18:19:51.0 +01:00
        }
        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
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        -id: 219050
        -bodyTs: "'read':8 'take':4 'thank':1 'time':6"
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        +createdAt: DateTimeImmutable @1702408903 {#1906
          date: 2023-12-12 20:21:43.0 +01:00
        }
        +"title": 219050
      }
      18 => App\Entity\EntryComment {#2081}
      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          date: 2023-12-13 08:47:01.0 +01:00
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:29:04.0 +01:00
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:34:49.0 +01:00
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
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          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
        }
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      }
      16 => App\Entity\EntryComment {#2030
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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          date: 2023-12-12 21:08:12.0 +01:00
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      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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          date: 2023-12-12 19:27:21.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
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        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
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        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
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        +downVotes: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
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      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
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          date: 2023-12-12 18:53:06.0 +01:00
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          date: 2023-12-13 08:36:24.0 +01:00
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        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
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    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
  +body: "Did you read the blog post? I also quoted the exact same thing."
  +lang: "en"
  +isAdult: false
  +favouriteCount: 1
  +score: 0
  +lastActive: DateTime @1702452344 {#2096
    date: 2023-12-13 08:25:44.0 +01:00
  }
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    "@wischi@programming.dev"
    "@dgmib@lemmy.world"
  ]
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  -id: 220285
  -bodyTs: "'also':8 'blog':5 'exact':11 'post':6 'quot':9 'read':3 'thing':13"
  +ranking: 0
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    date: 2023-12-13 08:25:44.0 +01:00
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  +"title": 220285
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2081
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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        +isAdult: false
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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      }
      13 => App\Entity\EntryComment {#2136
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
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          date: 2023-12-13 18:51:37.0 +01:00
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        +tags: null
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2073 …}
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        -id: 220703
        -bodyTs: ""
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5686263"
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          date: 2023-12-13 18:51:37.0 +01:00
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        +"title": 220703
      }
      14 => App\Entity\EntryComment {#2393
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1381 …}
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        -id: 219075
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          date: 2023-12-12 20:35:46.0 +01:00
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        +"title": 219075
      }
      11 => App\Entity\EntryComment {#2323
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
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          "@MinekPo1@lemmygrad.ml"
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          date: 2023-12-13 18:19:51.0 +01:00
        }
        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@wischi@programming.dev"
          "@friendly_ghost@beehaw.org"
        ]
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        -id: 219050
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          date: 2023-12-12 20:21:43.0 +01:00
        }
        +"title": 219050
      }
      18 => App\Entity\EntryComment {#2081}
      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          date: 2023-12-13 08:47:01.0 +01:00
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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        +createdAt: DateTimeImmutable @1702453621 {#2332
          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
        }
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      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
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          date: 2023-12-12 19:29:04.0 +01:00
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:34:49.0 +01:00
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
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          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
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      }
      16 => App\Entity\EntryComment {#2030
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
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          date: 2023-12-12 21:08:12.0 +01:00
        }
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      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
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        +ip: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
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        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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        +isAdult: false
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          date: 2023-12-13 08:23:28.0 +01:00
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
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        +downVotes: 0
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        +editedAt: null
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          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
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          date: 2023-12-12 19:11:17.0 +01:00
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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          date: 2023-12-12 19:11:17.0 +01:00
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      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
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      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
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  +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
  +body: "Did you read the blog post? I also quoted the exact same thing."
  +lang: "en"
  +isAdult: false
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    date: 2023-12-13 08:25:44.0 +01:00
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    "@wischi@programming.dev"
    "@dgmib@lemmy.world"
  ]
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  -id: 220285
  -bodyTs: "'also':8 'blog':5 'exact':11 'post':6 'quot':9 'read':3 'thing':13"
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    date: 2023-12-13 08:25:44.0 +01:00
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2081
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
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    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
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    +ip: null
    +adaAmount: 0
    +tags: null
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    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
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    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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      13 => App\Entity\EntryComment {#2136
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5686263"
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          date: 2023-12-13 18:51:37.0 +01:00
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        +"title": 220703
      }
      14 => App\Entity\EntryComment {#2393
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1381 …}
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        -id: 219075
        -bodyTs: "'addit':91 'altern':78 'basic':101 'blame':75 'certain':51 'come':113 'comment':38 'divis':115 'drop':82 'embarrass':30 'fix':15 'group':66 'invers':84 'like':67 'look':35 'mani':18 'math':43 'md':62,70 'mnemon':59 'much':4 'multipl':89,112 'noth':26 'one':55,100 'pe':69 'pema':96 'pemda':99 'point':21 'post':12,44 'problem':107 'read':10 'realli':27,73 'say':88 'section':39 'see':47 'set':102 'student':104 'suggest':94 'take':6 'thank':1,19 'think':57,110 'time':8 'typo':17 'use':61,87 'viral':42 'without':65 'would':79"
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          date: 2023-12-12 20:35:46.0 +01:00
        }
        +"title": 219075
      }
      11 => App\Entity\EntryComment {#2323
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-13 18:19:51.0 +01:00
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          "@MinekPo1@lemmygrad.ml"
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        -id: 220678
        -bodyTs: "'articl':8 'calcul':2 'follow':10 'interpret':14 'juxtaposit':12 'list':5 'way':17 'weak':11 'would':13"
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          date: 2023-12-13 18:19:51.0 +01:00
        }
        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702408903 {#1910
          date: 2023-12-12 20:21:43.0 +01:00
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          "@wischi@programming.dev"
          "@friendly_ghost@beehaw.org"
        ]
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        -id: 219050
        -bodyTs: "'read':8 'take':4 'thank':1 'time':6"
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          date: 2023-12-12 20:21:43.0 +01:00
        }
        +"title": 219050
      }
      18 => App\Entity\EntryComment {#2081}
      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          date: 2023-12-13 08:47:01.0 +01:00
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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        +createdAt: DateTimeImmutable @1702453621 {#2332
          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2452 …}
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
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          date: 2023-12-12 19:29:04.0 +01:00
        }
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1737 …}
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
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        +votes: Doctrine\ORM\PersistentCollection {#2055 …}
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        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
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        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 6
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1741 …}
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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        +isAdult: false
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
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        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
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          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
  +body: "Did you read the blog post? I also quoted the exact same thing."
  +lang: "en"
  +isAdult: false
  +favouriteCount: 1
  +score: 0
  +lastActive: DateTime @1702452344 {#2096
    date: 2023-12-13 08:25:44.0 +01:00
  }
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  +tags: null
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    "@wischi@programming.dev"
    "@dgmib@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2098 …}
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  -id: 220285
  -bodyTs: "'also':8 'blog':5 'exact':11 'post':6 'quot':9 'read':3 'thing':13"
  +ranking: 0
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  +downVotes: 0
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  +editedAt: null
  +createdAt: DateTimeImmutable @1702452344 {#2062
    date: 2023-12-13 08:25:44.0 +01:00
  }
  +"title": 220285
}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2344
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-14 00:24:18.0 +01:00
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
        +ranking: 0
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          date: 2023-12-14 00:24:18.0 +01:00
        }
        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702489897 {#2143
          date: 2023-12-13 18:51:37.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2073 …}
        +nested: Doctrine\ORM\PersistentCollection {#2072 …}
        +votes: Doctrine\ORM\PersistentCollection {#2065 …}
        +reports: Doctrine\ORM\PersistentCollection {#2066 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2049 …}
        -id: 220703
        -bodyTs: ""
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5686263"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702489897 {#2135
          date: 2023-12-13 18:51:37.0 +01:00
        }
        +"title": 220703
      }
      14 => App\Entity\EntryComment {#2393
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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      11 => App\Entity\EntryComment {#2323
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
        +user: App\Entity\User {#261 …}
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        +body: "Thank you for taking the time to read it."
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@friendly_ghost@beehaw.org"
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      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344}
      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@Perfide@reddthat.com"
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          date: 2023-12-12 20:20:39.0 +01:00
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      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
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        +body: "Thank you for taking the time reading it."
        +lang: "en"
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          date: 2023-12-14 00:11:27.0 +01:00
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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      3 => App\Entity\EntryComment {#2115
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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        -id: 222203
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          date: 2024-01-09 06:33:54.0 +01:00
        }
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          date: 2023-12-14 21:03:05.0 +01:00
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      2 => App\Entity\EntryComment {#1550
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        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@CarbonScored@hexbear.net"
        ]
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          date: 2024-01-01 11:16:40.0 +01:00
        }
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      16 => App\Entity\EntryComment {#2030
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        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
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        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
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        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
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          date: 2023-12-12 19:11:17.0 +01:00
        }
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
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          date: 2023-12-12 18:53:06.0 +01:00
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
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        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
  +body: """
    You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
    \n
    My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
    """
  +lang: "en"
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    date: 2023-12-13 08:47:01.0 +01:00
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    "@wischi@programming.dev"
    "@Alcatorda@lemmy.world"
  ]
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  -id: 220301
  -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
  +ranking: 0
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    date: 2023-12-13 08:47:01.0 +01:00
  }
  +"title": 220301
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2344
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
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    +hasEmbed: true
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    +sticky: false
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      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
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    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
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    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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          date: 2023-12-14 00:24:18.0 +01:00
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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        +createdAt: DateTimeImmutable @1702489897 {#2135
          date: 2023-12-13 18:51:37.0 +01:00
        }
        +"title": 220703
      }
      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
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      11 => App\Entity\EntryComment {#2323
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      12 => App\Entity\EntryComment {#1909
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
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        +lastActive: DateTime @1702408903 {#1910
          date: 2023-12-12 20:21:43.0 +01:00
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          "@wischi@programming.dev"
          "@friendly_ghost@beehaw.org"
        ]
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          date: 2023-12-12 20:21:43.0 +01:00
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        +"title": 219050
      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
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          date: 2023-12-13 08:25:44.0 +01:00
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          "@dgmib@lemmy.world"
        ]
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          date: 2023-12-13 08:25:44.0 +01:00
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      1 => App\Entity\EntryComment {#2344}
      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
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      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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          date: 2023-12-12 19:29:04.0 +01:00
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          "@kogasa@programming.dev"
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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          date: 2023-12-14 00:11:27.0 +01:00
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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          "@atomicorange@lemmy.world"
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      3 => App\Entity\EntryComment {#2115
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          "@Abnorc@lemm.ee"
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        -id: 222203
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          date: 2024-01-09 06:33:54.0 +01:00
        }
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          date: 2023-12-14 21:03:05.0 +01:00
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        +"title": 222203
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      2 => App\Entity\EntryComment {#1550
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        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@CarbonScored@hexbear.net"
        ]
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          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
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      }
      16 => App\Entity\EntryComment {#2030
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        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +reports: Doctrine\ORM\PersistentCollection {#2021 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
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        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 18:53:06.0 +01:00
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
  +body: """
    You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
    \n
    My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
    """
  +lang: "en"
  +isAdult: false
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    date: 2023-12-13 08:47:01.0 +01:00
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    "@wischi@programming.dev"
    "@Alcatorda@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2042 …}
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  +reports: Doctrine\ORM\PersistentCollection {#2289 …}
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  -id: 220301
  -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
  +ranking: 0
  +commentCount: 0
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  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5675867"
  +editedAt: null
  +createdAt: DateTimeImmutable @1702453621 {#2332
    date: 2023-12-13 08:47:01.0 +01:00
  }
  +"title": 220301
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2344
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
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          date: 2023-12-14 00:24:18.0 +01:00
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        +ip: null
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        +mentions: [
          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2111 …}
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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          date: 2023-12-14 00:24:18.0 +01:00
        }
        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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        +image: null
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        +body: "?"
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          "@agni@lemmings.world"
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          date: 2023-12-13 18:51:37.0 +01:00
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        +"title": 220703
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@friendly_ghost@beehaw.org"
        ]
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          date: 2023-12-12 20:21:43.0 +01:00
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      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
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          date: 2023-12-13 08:25:44.0 +01:00
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      1 => App\Entity\EntryComment {#2344}
      7 => App\Entity\EntryComment {#2460
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -id: 219043
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      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-14 00:11:27.0 +01:00
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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      }
      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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      3 => App\Entity\EntryComment {#2115
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          "@Abnorc@lemm.ee"
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        -id: 222203
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          date: 2024-01-09 06:33:54.0 +01:00
        }
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          date: 2023-12-14 21:03:05.0 +01:00
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        +"title": 222203
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      2 => App\Entity\EntryComment {#1550
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        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
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          date: 2024-01-01 11:16:40.0 +01:00
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          date: 2023-12-12 19:00:31.0 +01:00
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      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
        +votes: Doctrine\ORM\PersistentCollection {#2011 …}
        +reports: Doctrine\ORM\PersistentCollection {#2021 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2029 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
  +body: """
    You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
    \n
    My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
    """
  +lang: "en"
  +isAdult: false
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    date: 2023-12-13 08:47:01.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@Alcatorda@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2042 …}
  +nested: Doctrine\ORM\PersistentCollection {#2060 …}
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  +reports: Doctrine\ORM\PersistentCollection {#2289 …}
  +favourites: Doctrine\ORM\PersistentCollection {#2326 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2325 …}
  -id: 220301
  -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
  +ranking: 0
  +commentCount: 0
  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5675867"
  +editedAt: null
  +createdAt: DateTimeImmutable @1702453621 {#2332
    date: 2023-12-13 08:47:01.0 +01:00
  }
  +"title": 220301
}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2460
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702509858 {#2104
          date: 2023-12-14 00:24:18.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2111 …}
        +nested: Doctrine\ORM\PersistentCollection {#2102 …}
        +votes: Doctrine\ORM\PersistentCollection {#2103 …}
        +reports: Doctrine\ORM\PersistentCollection {#2110 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2112 …}
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          "@agni@lemmings.world"
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@friendly_ghost@beehaw.org"
        ]
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      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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      7 => App\Entity\EntryComment {#2460}
      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      }
      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
        +lang: "en"
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          "@wren@sopuli.xyz"
        ]
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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      3 => App\Entity\EntryComment {#2115
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          "@Abnorc@lemm.ee"
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          date: 2024-01-09 06:33:54.0 +01:00
        }
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      2 => App\Entity\EntryComment {#1550
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        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
        +votes: Doctrine\ORM\PersistentCollection {#2011 …}
        +reports: Doctrine\ORM\PersistentCollection {#2021 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2029 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
        +reports: Doctrine\ORM\PersistentCollection {#2345 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
  +body: """
    The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
    \n
    So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
    \n
    There really is no agreed upon standard even amongst experts.
    """
  +lang: "en"
  +isAdult: false
  +favouriteCount: 21
  +score: 0
  +lastActive: DateTime @1702408839 {#2461
    date: 2023-12-12 20:20:39.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@Perfide@reddthat.com"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2452 …}
  +nested: Doctrine\ORM\PersistentCollection {#2454 …}
  +votes: Doctrine\ORM\PersistentCollection {#2459 …}
  +reports: Doctrine\ORM\PersistentCollection {#2470 …}
  +favourites: Doctrine\ORM\PersistentCollection {#2467 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2371 …}
  -id: 219043
  -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
  +ranking: 0
  +commentCount: 0
  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5662323"
  +editedAt: null
  +createdAt: DateTimeImmutable @1702408839 {#2456
    date: 2023-12-12 20:20:39.0 +01:00
  }
  +"title": 219043
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2460
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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      13 => App\Entity\EntryComment {#2136
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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      18 => App\Entity\EntryComment {#2081
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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      7 => App\Entity\EntryComment {#2460}
      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
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          "@wren@sopuli.xyz"
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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      3 => App\Entity\EntryComment {#2115
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          date: 2024-01-09 06:33:54.0 +01:00
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      2 => App\Entity\EntryComment {#1550
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        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
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        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
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          date: 2023-12-12 18:53:06.0 +01:00
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
  +body: """
    The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
    \n
    So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
    \n
    There really is no agreed upon standard even amongst experts.
    """
  +lang: "en"
  +isAdult: false
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  +score: 0
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    date: 2023-12-12 20:20:39.0 +01:00
  }
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    "@wischi@programming.dev"
    "@Perfide@reddthat.com"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2452 …}
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  -id: 219043
  -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
  +ranking: 0
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  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5662323"
  +editedAt: null
  +createdAt: DateTimeImmutable @1702408839 {#2456
    date: 2023-12-12 20:20:39.0 +01:00
  }
  +"title": 219043
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2460
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
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    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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      18 => App\Entity\EntryComment {#2081
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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      7 => App\Entity\EntryComment {#2460}
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
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          "@wren@sopuli.xyz"
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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      3 => App\Entity\EntryComment {#2115
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
        +votes: Doctrine\ORM\PersistentCollection {#2011 …}
        +reports: Doctrine\ORM\PersistentCollection {#2021 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
  +body: """
    The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
    \n
    So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
    \n
    There really is no agreed upon standard even amongst experts.
    """
  +lang: "en"
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  +score: 0
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    date: 2023-12-12 20:20:39.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@Perfide@reddthat.com"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2452 …}
  +nested: Doctrine\ORM\PersistentCollection {#2454 …}
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  -id: 219043
  -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
  +ranking: 0
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  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5662323"
  +editedAt: null
  +createdAt: DateTimeImmutable @1702408839 {#2456
    date: 2023-12-12 20:20:39.0 +01:00
  }
  +"title": 219043
}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1728
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
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      date: 2024-03-29 00:18:08.0 +01:00
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        +user: App\Entity\User {#261 …}
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@Littleborat@feddit.de"
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        +body: "?"
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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        +body: "Thank you for taking the time to read it."
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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      8 => App\Entity\EntryComment {#1728}
      5 => App\Entity\EntryComment {#2059
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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        +body: "That’s actually a great way of putting it 🤣"
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      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
        +lastActive: DateTime @1702404031 {#1579
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
        +votes: Doctrine\ORM\PersistentCollection {#1562 …}
        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1556 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
        +votes: Doctrine\ORM\PersistentCollection {#2011 …}
        +reports: Doctrine\ORM\PersistentCollection {#2021 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2029 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
        +reports: Doctrine\ORM\PersistentCollection {#2345 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
  +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
  +lang: "en"
  +isAdult: false
  +favouriteCount: 2
  +score: 0
  +lastActive: DateTime @1702405744 {#1721
    date: 2023-12-12 19:29:04.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@kogasa@programming.dev"
  ]
  +children: Doctrine\ORM\PersistentCollection {#1737 …}
  +nested: Doctrine\ORM\PersistentCollection {#1732 …}
  +votes: Doctrine\ORM\PersistentCollection {#1735 …}
  +reports: Doctrine\ORM\PersistentCollection {#1729 …}
  +favourites: Doctrine\ORM\PersistentCollection {#1719 …}
  +notifications: Doctrine\ORM\PersistentCollection {#1714 …}
  -id: 218912
  -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
  +ranking: 0
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  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5661078"
  +editedAt: null
  +createdAt: DateTimeImmutable @1702405744 {#1726
    date: 2023-12-12 19:29:04.0 +01:00
  }
  +"title": 218912
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1728
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
    }
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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        +body: "?"
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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      5 => App\Entity\EntryComment {#2059
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2381 …}
        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
        +lastActive: DateTime @1702404031 {#1579
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
        +votes: Doctrine\ORM\PersistentCollection {#1562 …}
        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1556 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
        +reports: Doctrine\ORM\PersistentCollection {#2345 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
  +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
  +lang: "en"
  +isAdult: false
  +favouriteCount: 2
  +score: 0
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    date: 2023-12-12 19:29:04.0 +01:00
  }
  +ip: null
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    "@wischi@programming.dev"
    "@kogasa@programming.dev"
  ]
  +children: Doctrine\ORM\PersistentCollection {#1737 …}
  +nested: Doctrine\ORM\PersistentCollection {#1732 …}
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    date: 2023-12-12 19:29:04.0 +01:00
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"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1728
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  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
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    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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    +lang: "en"
    +isOc: false
    +hasEmbed: true
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      date: 2024-03-29 00:18:08.0 +01:00
    }
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      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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          date: 2023-12-14 00:24:18.0 +01:00
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
        +lang: "en"
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          "@friendly_ghost@beehaw.org"
        ]
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      18 => App\Entity\EntryComment {#2081
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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      8 => App\Entity\EntryComment {#1728}
      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
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          "@wren@sopuli.xyz"
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2381 …}
        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
        +reports: Doctrine\ORM\PersistentCollection {#2345 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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  +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2059
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
    }
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    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          date: 2023-12-14 00:24:18.0 +01:00
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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          date: 2023-12-14 00:24:18.0 +01:00
        }
        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@agni@lemmings.world"
        ]
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
        ]
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
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          "@friendly_ghost@beehaw.org"
        ]
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      18 => App\Entity\EntryComment {#2081
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@Perfide@reddthat.com"
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      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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        }
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      }
      5 => App\Entity\EntryComment {#2059}
      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1741 …}
        +nested: Doctrine\ORM\PersistentCollection {#1707 …}
        +votes: Doctrine\ORM\PersistentCollection {#2464 …}
        +reports: Doctrine\ORM\PersistentCollection {#2448 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2447 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2462 …}
        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
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        +apId: "https://programming.dev/comment/5661239"
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        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2381 …}
        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
        +lastActive: DateTime @1702404031 {#1579
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
        +votes: Doctrine\ORM\PersistentCollection {#1562 …}
        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1556 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
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        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
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      date: 2023-12-12 07:46:26.0 +01:00
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     …2
  }
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  +body: "Thank you for taking the time reading it."
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    date: 2023-12-14 00:11:27.0 +01:00
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"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2059
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    +user: App\Entity\User {#261 …}
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
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          date: 2023-12-14 00:24:18.0 +01:00
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
        ]
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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          "@friendly_ghost@beehaw.org"
        ]
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      18 => App\Entity\EntryComment {#2081
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@Perfide@reddthat.com"
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      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059}
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:34:49.0 +01:00
        }
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        +tags: null
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        +nested: Doctrine\ORM\PersistentCollection {#1707 …}
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
        +ranking: 0
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        +downVotes: 0
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        +apId: "https://programming.dev/comment/5661239"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
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        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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        +isAdult: false
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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        +isAdult: false
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        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
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        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
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        +score: 0
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          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
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          date: 2024-01-03 06:18:24.0 +01:00
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    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
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      date: 2023-12-12 07:46:26.0 +01:00
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     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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  +body: "Thank you for taking the time reading it."
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    date: 2023-12-14 00:11:27.0 +01:00
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2059
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  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
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    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
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          date: 2023-12-14 00:24:18.0 +01:00
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
        ]
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          date: 2023-12-12 20:35:46.0 +01:00
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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          "@friendly_ghost@beehaw.org"
        ]
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      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
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          date: 2023-12-13 08:25:44.0 +01:00
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
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      }
      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@Perfide@reddthat.com"
        ]
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      8 => App\Entity\EntryComment {#1728
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1737 …}
        +nested: Doctrine\ORM\PersistentCollection {#1732 …}
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
        +ranking: 0
        +commentCount: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661078"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059}
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:34:49.0 +01:00
        }
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        +nested: Doctrine\ORM\PersistentCollection {#1707 …}
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5661239"
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        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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        +isAdult: false
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
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          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
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    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
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      date: 2023-12-12 07:46:26.0 +01:00
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     …2
  }
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  +body: "Thank you for taking the time reading it."
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    date: 2023-12-14 00:11:27.0 +01:00
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}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1717
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    +user: App\Entity\User {#261 …}
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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      15 => App\Entity\EntryComment {#2099
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
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      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@agni@lemmings.world"
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        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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        ]
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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          "@friendly_ghost@beehaw.org"
        ]
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      18 => App\Entity\EntryComment {#2081
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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        +createdAt: DateTimeImmutable @1702408839 {#2456
          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405744 {#1721
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1737 …}
        +nested: Doctrine\ORM\PersistentCollection {#1732 …}
        +votes: Doctrine\ORM\PersistentCollection {#1735 …}
        +reports: Doctrine\ORM\PersistentCollection {#1729 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1719 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1714 …}
        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
        +ranking: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661078"
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        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
        +nested: Doctrine\ORM\PersistentCollection {#2057 …}
        +votes: Doctrine\ORM\PersistentCollection {#2055 …}
        +reports: Doctrine\ORM\PersistentCollection {#2054 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2053 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2165 …}
        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5693660"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717}
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2381 …}
        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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        +visibility: "visible             "
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        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
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        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
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        +score: 0
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          date: 2023-12-12 18:53:06.0 +01:00
        }
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
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        +apId: "https://programming.dev/comment/5660232"
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          date: 2024-01-01 13:15:01.0 +01:00
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          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
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        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
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    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
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      date: 2023-12-30 22:41:31.0 +01:00
    }
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      date: 2023-12-12 07:46:26.0 +01:00
    }
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     …2
  }
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  +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1717
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  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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      15 => App\Entity\EntryComment {#2099
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          "@agni@lemmings.world"
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        -bodyTs: ""
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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        ]
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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      18 => App\Entity\EntryComment {#2081
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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        ]
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5662323"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408839 {#2456
          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405744 {#1721
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1737 …}
        +nested: Doctrine\ORM\PersistentCollection {#1732 …}
        +votes: Doctrine\ORM\PersistentCollection {#1735 …}
        +reports: Doctrine\ORM\PersistentCollection {#1729 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1719 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1714 …}
        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
        +ranking: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661078"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
        +nested: Doctrine\ORM\PersistentCollection {#2057 …}
        +votes: Doctrine\ORM\PersistentCollection {#2055 …}
        +reports: Doctrine\ORM\PersistentCollection {#2054 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2053 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2165 …}
        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5693660"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717}
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2381 …}
        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
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          date: 2024-01-01 13:15:01.0 +01:00
        }
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          date: 2023-12-12 18:53:06.0 +01:00
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        +"title": 218823
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      0 => App\Entity\EntryComment {#2140
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
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        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
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    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
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      date: 2023-12-30 22:41:31.0 +01:00
    }
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      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
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  +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1717
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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      15 => App\Entity\EntryComment {#2099
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@Littleborat@feddit.de"
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          "@agni@lemmings.world"
        ]
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        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
        ]
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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      18 => App\Entity\EntryComment {#2081
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
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          date: 2023-12-12 19:29:04.0 +01:00
        }
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          "@kogasa@programming.dev"
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
        +nested: Doctrine\ORM\PersistentCollection {#2057 …}
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        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
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        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717}
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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        +apId: "https://programming.dev/comment/5662341"
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        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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        +isAdult: false
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          date: 2023-12-14 21:03:05.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
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          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
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      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
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        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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        +isAdult: false
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          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
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        +downVotes: 0
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        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
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          date: 2023-12-12 19:11:17.0 +01:00
        }
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +visibility: "visible             "
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        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
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          "@CallumWells@lemmy.ml"
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        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
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    +apId: "https://programming.dev/post/7145882"
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      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
  +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
  +lang: "en"
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    date: 2023-12-12 19:34:49.0 +01:00
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    "@wischi@programming.dev"
    "@frezik@midwest.social"
  ]
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    date: 2023-12-12 19:34:49.0 +01:00
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}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2360
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
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    +hasEmbed: true
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    +sticky: false
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      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
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    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
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    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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          date: 2023-12-12 20:35:46.0 +01:00
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      11 => App\Entity\EntryComment {#2323
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      }
      12 => App\Entity\EntryComment {#1909
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
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          "@friendly_ghost@beehaw.org"
        ]
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      }
      18 => App\Entity\EntryComment {#2081
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
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          "@dgmib@lemmy.world"
        ]
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        +visibility: "visible             "
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          date: 2023-12-13 08:25:44.0 +01:00
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      }
      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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        +isAdult: false
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2042 …}
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702453621 {#2332
          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
        +lang: "en"
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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        +createdAt: DateTimeImmutable @1702408839 {#2456
          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
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          date: 2023-12-12 19:29:04.0 +01:00
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
        +nested: Doctrine\ORM\PersistentCollection {#2057 …}
        +votes: Doctrine\ORM\PersistentCollection {#2055 …}
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        -id: 220929
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        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 6
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          date: 2023-12-12 19:34:49.0 +01:00
        }
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5661239"
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        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360}
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-14 21:03:05.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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        +isAdult: false
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
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      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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          date: 2023-12-12 19:27:21.0 +01:00
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
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        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
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          date: 2023-12-12 19:27:21.0 +01:00
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        +"title": 218909
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      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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        +isAdult: false
        +favouriteCount: 2
        +score: 0
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          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
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        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
        }
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          date: 2023-12-12 18:53:06.0 +01:00
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
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    +apId: "https://programming.dev/post/7145882"
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      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
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  +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
  +body: "That’s actually a great way of putting it 🤣"
  +lang: "en"
  +isAdult: false
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    date: 2023-12-12 20:21:13.0 +01:00
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    "@atomicorange@lemmy.world"
  ]
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  -id: 219046
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2360
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
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    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
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    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
        +lang: "en"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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          date: 2023-12-12 20:35:46.0 +01:00
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      11 => App\Entity\EntryComment {#2323
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
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          "@MinekPo1@lemmygrad.ml"
        ]
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          date: 2023-12-13 18:19:51.0 +01:00
        }
        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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        +lastActive: DateTime @1702408903 {#1910
          date: 2023-12-12 20:21:43.0 +01:00
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          "@wischi@programming.dev"
          "@friendly_ghost@beehaw.org"
        ]
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        -id: 219050
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          date: 2023-12-12 20:21:43.0 +01:00
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        +"title": 219050
      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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          "@dgmib@lemmy.world"
        ]
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        +"title": 220285
      }
      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
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        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@Perfide@reddthat.com"
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          date: 2023-12-12 20:20:39.0 +01:00
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      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
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          "@kogasa@programming.dev"
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        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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          "@frezik@midwest.social"
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360}
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          date: 2023-12-14 21:03:05.0 +01:00
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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          date: 2024-01-01 11:16:40.0 +01:00
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      16 => App\Entity\EntryComment {#2030
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        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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          "@Rinox@feddit.it"
        ]
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        +apId: "https://programming.dev/comment/5661037"
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          date: 2024-01-01 12:02:01.0 +01:00
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      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
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        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        -id: 220282
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        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          date: 2023-12-12 18:53:06.0 +01:00
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
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    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
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    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
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  +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
  +body: "That’s actually a great way of putting it 🤣"
  +lang: "en"
  +isAdult: false
  +favouriteCount: 5
  +score: 0
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    date: 2023-12-12 20:21:13.0 +01:00
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    "@wischi@programming.dev"
    "@atomicorange@lemmy.world"
  ]
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  -id: 219046
  -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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    date: 2023-12-12 20:21:13.0 +01:00
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2360
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
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    +hasEmbed: true
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    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
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    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
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    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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        +isAdult: false
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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          date: 2023-12-14 00:24:18.0 +01:00
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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      11 => App\Entity\EntryComment {#2323
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
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          date: 2023-12-13 18:19:51.0 +01:00
        }
        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@wischi@programming.dev"
          "@friendly_ghost@beehaw.org"
        ]
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          date: 2023-12-12 20:21:43.0 +01:00
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        +"title": 219050
      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
        +isAdult: false
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          "@dgmib@lemmy.world"
        ]
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        -bodyTs: "'also':8 'blog':5 'exact':11 'post':6 'quot':9 'read':3 'thing':13"
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702452344 {#2062
          date: 2023-12-13 08:25:44.0 +01:00
        }
        +"title": 220285
      }
      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          date: 2023-12-13 08:47:01.0 +01:00
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:29:04.0 +01:00
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          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:34:49.0 +01:00
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5661239"
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        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360}
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-14 21:03:05.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
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          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
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      }
      16 => App\Entity\EntryComment {#2030
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        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
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          date: 2023-12-12 21:08:12.0 +01:00
        }
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      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
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      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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        +isAdult: false
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
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        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
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          date: 2023-12-12 19:11:17.0 +01:00
        }
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
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          date: 2023-12-12 18:53:06.0 +01:00
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
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        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
  +body: "That’s actually a great way of putting it 🤣"
  +lang: "en"
  +isAdult: false
  +favouriteCount: 5
  +score: 0
  +lastActive: DateTime @1702408873 {#2370
    date: 2023-12-12 20:21:13.0 +01:00
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    "@wischi@programming.dev"
    "@atomicorange@lemmy.world"
  ]
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  -id: 219046
  -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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    date: 2023-12-12 20:21:13.0 +01:00
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  +"title": 219046
}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2115
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
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    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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        +isAdult: false
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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          date: 2023-12-14 00:24:18.0 +01:00
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        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
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        +body: "?"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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        +downVotes: 0
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          date: 2023-12-13 18:51:37.0 +01:00
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        +"title": 220703
      }
      14 => App\Entity\EntryComment {#2393
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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        -id: 219075
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          date: 2023-12-12 20:35:46.0 +01:00
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        +"title": 219075
      }
      11 => App\Entity\EntryComment {#2323
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
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          "@wischi@programming.dev"
          "@MinekPo1@lemmygrad.ml"
        ]
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        -id: 220678
        -bodyTs: "'articl':8 'calcul':2 'follow':10 'interpret':14 'juxtaposit':12 'list':5 'way':17 'weak':11 'would':13"
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          date: 2023-12-13 18:19:51.0 +01:00
        }
        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@wischi@programming.dev"
          "@friendly_ghost@beehaw.org"
        ]
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          date: 2023-12-12 20:21:43.0 +01:00
        }
        +"title": 219050
      }
      18 => App\Entity\EntryComment {#2081
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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          "@dgmib@lemmy.world"
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        -id: 220285
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          date: 2023-12-13 08:25:44.0 +01:00
        }
        +"title": 220285
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
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      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
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      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
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          date: 2023-12-14 00:11:27.0 +01:00
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          "@wren@sopuli.xyz"
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
        }
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      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
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          date: 2023-12-12 20:21:13.0 +01:00
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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      }
      3 => App\Entity\EntryComment {#2115}
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@CarbonScored@hexbear.net"
        ]
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          date: 2024-01-01 11:16:40.0 +01:00
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      }
      16 => App\Entity\EntryComment {#2030
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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          date: 2023-12-12 21:08:12.0 +01:00
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      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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        ]
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        +apId: "https://programming.dev/comment/5661037"
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          date: 2024-01-01 12:02:01.0 +01:00
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      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
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        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
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        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
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        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
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        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
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    +apId: "https://programming.dev/post/7145882"
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      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
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  +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
  +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
  +lang: "en"
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    date: 2023-12-14 21:03:05.0 +01:00
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    "@wischi@programming.dev"
    "@Abnorc@lemm.ee"
  ]
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  -id: 222203
  -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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    date: 2024-01-09 06:33:54.0 +01:00
  }
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2115
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
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    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
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    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
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    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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      }
      13 => App\Entity\EntryComment {#2136
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
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        +body: "?"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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        +downVotes: 0
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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        -id: 219075
        -bodyTs: "'addit':91 'altern':78 'basic':101 'blame':75 'certain':51 'come':113 'comment':38 'divis':115 'drop':82 'embarrass':30 'fix':15 'group':66 'invers':84 'like':67 'look':35 'mani':18 'math':43 'md':62,70 'mnemon':59 'much':4 'multipl':89,112 'noth':26 'one':55,100 'pe':69 'pema':96 'pemda':99 'point':21 'post':12,44 'problem':107 'read':10 'realli':27,73 'say':88 'section':39 'see':47 'set':102 'student':104 'suggest':94 'take':6 'thank':1,19 'think':57,110 'time':8 'typo':17 'use':61,87 'viral':42 'without':65 'would':79"
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      11 => App\Entity\EntryComment {#2323
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          "@MinekPo1@lemmygrad.ml"
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        -id: 220678
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          date: 2023-12-13 18:19:51.0 +01:00
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        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
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          "@friendly_ghost@beehaw.org"
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      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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          "@dgmib@lemmy.world"
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          date: 2023-12-13 08:25:44.0 +01:00
        }
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
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          date: 2023-12-14 00:11:27.0 +01:00
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          "@wren@sopuli.xyz"
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        -id: 220929
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      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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        }
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      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
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        +body: "That’s actually a great way of putting it 🤣"
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          "@atomicorange@lemmy.world"
        ]
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          date: 2023-12-12 20:21:13.0 +01:00
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      3 => App\Entity\EntryComment {#2115}
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
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        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@CarbonScored@hexbear.net"
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          date: 2024-01-01 11:16:40.0 +01:00
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      16 => App\Entity\EntryComment {#2030
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        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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      9 => App\Entity\EntryComment {#1598
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        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
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        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
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        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
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      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
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    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
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  +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
  +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
  +lang: "en"
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    date: 2023-12-14 21:03:05.0 +01:00
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    "@wischi@programming.dev"
    "@Abnorc@lemm.ee"
  ]
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  -id: 222203
  -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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    date: 2024-01-09 06:33:54.0 +01:00
  }
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    date: 2023-12-14 21:03:05.0 +01:00
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2115
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
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    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
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    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
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      }
      13 => App\Entity\EntryComment {#2136
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
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        +body: "?"
        +lang: "en"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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        +downVotes: 0
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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        -id: 219075
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      11 => App\Entity\EntryComment {#2323
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          "@MinekPo1@lemmygrad.ml"
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          date: 2023-12-13 18:19:51.0 +01:00
        }
        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
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          "@friendly_ghost@beehaw.org"
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      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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          date: 2023-12-13 08:25:44.0 +01:00
        }
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          date: 2023-12-13 08:47:01.0 +01:00
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          "@Alcatorda@lemmy.world"
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
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        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
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      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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          date: 2023-12-14 00:11:27.0 +01:00
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
        }
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      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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        }
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      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
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        +body: "That’s actually a great way of putting it 🤣"
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          "@atomicorange@lemmy.world"
        ]
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          date: 2023-12-12 20:21:13.0 +01:00
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      3 => App\Entity\EntryComment {#2115}
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@CarbonScored@hexbear.net"
        ]
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          date: 2024-01-01 11:16:40.0 +01:00
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      16 => App\Entity\EntryComment {#2030
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        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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          date: 2023-12-12 21:08:12.0 +01:00
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      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
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        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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          "@Rinox@feddit.it"
        ]
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
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        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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          date: 2023-12-12 19:11:17.0 +01:00
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      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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        +apId: "https://programming.dev/comment/5675726"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
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    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
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  +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
  +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
  +lang: "en"
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    date: 2023-12-14 21:03:05.0 +01:00
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    "@wischi@programming.dev"
    "@Abnorc@lemm.ee"
  ]
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  -id: 222203
  -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
  +ranking: 0
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    date: 2024-01-09 06:33:54.0 +01:00
  }
  +createdAt: DateTimeImmutable @1702584185 {#2122
    date: 2023-12-14 21:03:05.0 +01:00
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  +"title": 222203
}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1550
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
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    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
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    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
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    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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        +"title": 220703
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      14 => App\Entity\EntryComment {#2393
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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        -id: 219075
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          date: 2023-12-12 20:35:46.0 +01:00
        }
        +"title": 219075
      }
      11 => App\Entity\EntryComment {#2323
        +user: App\Entity\User {#261 …}
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        +image: null
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
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          "@friendly_ghost@beehaw.org"
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      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
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        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
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      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-14 00:11:27.0 +01:00
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
        }
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      }
      6 => App\Entity\EntryComment {#1717
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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          "@frezik@midwest.social"
        ]
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        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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          "@atomicorange@lemmy.world"
        ]
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      3 => App\Entity\EntryComment {#2115
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          "@Abnorc@lemm.ee"
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          date: 2024-01-09 06:33:54.0 +01:00
        }
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      2 => App\Entity\EntryComment {#1550}
      16 => App\Entity\EntryComment {#2030
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        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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          date: 2023-12-12 21:08:12.0 +01:00
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      9 => App\Entity\EntryComment {#1598
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-13 08:23:28.0 +01:00
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
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        +downVotes: 0
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        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +downVotes: 0
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        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          date: 2023-12-12 18:53:06.0 +01:00
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5675726"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
  +body: """
    The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
    \n
    It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
    """
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    date: 2023-12-12 19:00:31.0 +01:00
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    "@wischi@programming.dev"
    "@CarbonScored@hexbear.net"
  ]
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  -id: 218846
  -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
  +ranking: 0
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  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5660419"
  +editedAt: DateTimeImmutable @1704104200 {#1559
    date: 2024-01-01 11:16:40.0 +01:00
  }
  +createdAt: DateTimeImmutable @1702404031 {#1548
    date: 2023-12-12 19:00:31.0 +01:00
  }
  +"title": 218846
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1550
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
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    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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        +isAdult: false
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
        +ranking: 0
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          date: 2023-12-14 00:24:18.0 +01:00
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        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2073 …}
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        -id: 220703
        -bodyTs: ""
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5686263"
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        +createdAt: DateTimeImmutable @1702489897 {#2135
          date: 2023-12-13 18:51:37.0 +01:00
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        +"title": 220703
      }
      14 => App\Entity\EntryComment {#2393
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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        +isAdult: false
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1381 …}
        +nested: Doctrine\ORM\PersistentCollection {#1402 …}
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        -id: 219075
        -bodyTs: "'addit':91 'altern':78 'basic':101 'blame':75 'certain':51 'come':113 'comment':38 'divis':115 'drop':82 'embarrass':30 'fix':15 'group':66 'invers':84 'like':67 'look':35 'mani':18 'math':43 'md':62,70 'mnemon':59 'much':4 'multipl':89,112 'noth':26 'one':55,100 'pe':69 'pema':96 'pemda':99 'point':21 'post':12,44 'problem':107 'read':10 'realli':27,73 'say':88 'section':39 'see':47 'set':102 'student':104 'suggest':94 'take':6 'thank':1,19 'think':57,110 'time':8 'typo':17 'use':61,87 'viral':42 'without':65 'would':79"
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          date: 2023-12-12 20:35:46.0 +01:00
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      11 => App\Entity\EntryComment {#2323
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          "@MinekPo1@lemmygrad.ml"
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          date: 2023-12-13 18:19:51.0 +01:00
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        +"title": 220678
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      12 => App\Entity\EntryComment {#1909
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@friendly_ghost@beehaw.org"
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          date: 2023-12-12 20:21:43.0 +01:00
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      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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          date: 2023-12-13 08:25:44.0 +01:00
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          "@dgmib@lemmy.world"
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          date: 2023-12-13 08:25:44.0 +01:00
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          date: 2023-12-13 08:47:01.0 +01:00
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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          "@kogasa@programming.dev"
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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          date: 2023-12-12 19:29:04.0 +01:00
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        +"title": 218912
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      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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          date: 2023-12-14 00:11:27.0 +01:00
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
        }
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      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
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        +body: "That’s actually a great way of putting it 🤣"
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
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          date: 2023-12-12 20:21:13.0 +01:00
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      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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          date: 2024-01-09 06:33:54.0 +01:00
        }
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        }
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      2 => App\Entity\EntryComment {#1550}
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
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        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
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          date: 2023-12-12 21:08:12.0 +01:00
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      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
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        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
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          date: 2023-12-12 19:11:17.0 +01:00
        }
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +downVotes: 0
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        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          date: 2023-12-12 18:53:06.0 +01:00
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
  +body: """
    The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
    \n
    It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
    """
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    date: 2023-12-12 19:00:31.0 +01:00
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    "@wischi@programming.dev"
    "@CarbonScored@hexbear.net"
  ]
  +children: Doctrine\ORM\PersistentCollection {#1525 …}
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  -id: 218846
  -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
  +ranking: 0
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  +downVotes: 0
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  +apId: "https://programming.dev/comment/5660419"
  +editedAt: DateTimeImmutable @1704104200 {#1559
    date: 2024-01-01 11:16:40.0 +01:00
  }
  +createdAt: DateTimeImmutable @1702404031 {#1548
    date: 2023-12-12 19:00:31.0 +01:00
  }
  +"title": 218846
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1550
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
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    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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        +isAdult: false
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
        +ranking: 0
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        +downVotes: 0
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          date: 2023-12-14 00:24:18.0 +01:00
        }
        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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          date: 2023-12-13 18:51:37.0 +01:00
        }
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2073 …}
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        -id: 220703
        -bodyTs: ""
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5686263"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702489897 {#2135
          date: 2023-12-13 18:51:37.0 +01:00
        }
        +"title": 220703
      }
      14 => App\Entity\EntryComment {#2393
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
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      11 => App\Entity\EntryComment {#2323
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
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        +lastActive: DateTime @1702408903 {#1910
          date: 2023-12-12 20:21:43.0 +01:00
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          "@friendly_ghost@beehaw.org"
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          date: 2023-12-12 20:21:43.0 +01:00
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      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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          date: 2023-12-13 08:25:44.0 +01:00
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          date: 2023-12-13 08:25:44.0 +01:00
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          date: 2023-12-13 08:47:01.0 +01:00
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
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          date: 2023-12-13 08:47:01.0 +01:00
        }
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      }
      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
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      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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          date: 2023-12-12 19:29:04.0 +01:00
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          "@kogasa@programming.dev"
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          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
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        +body: "That’s actually a great way of putting it 🤣"
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          date: 2023-12-12 20:21:13.0 +01:00
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
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          date: 2023-12-12 20:21:13.0 +01:00
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      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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        +isAdult: false
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          date: 2023-12-14 21:03:05.0 +01:00
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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          date: 2024-01-09 06:33:54.0 +01:00
        }
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          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550}
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
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          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
  +body: """
    The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
    \n
    It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
    """
  +lang: "en"
  +isAdult: false
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  +score: 0
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    date: 2023-12-12 19:00:31.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@CarbonScored@hexbear.net"
  ]
  +children: Doctrine\ORM\PersistentCollection {#1525 …}
  +nested: Doctrine\ORM\PersistentCollection {#1566 …}
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  -id: 218846
  -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
  +ranking: 0
  +commentCount: 0
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  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5660419"
  +editedAt: DateTimeImmutable @1704104200 {#1559
    date: 2024-01-01 11:16:40.0 +01:00
  }
  +createdAt: DateTimeImmutable @1702404031 {#1548
    date: 2023-12-12 19:00:31.0 +01:00
  }
  +"title": 218846
}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2030
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
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          date: 2023-12-14 00:24:18.0 +01:00
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        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
        +ranking: 0
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        +visibility: "visible             "
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702509858 {#2100
          date: 2023-12-14 00:24:18.0 +01:00
        }
        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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          date: 2023-12-13 18:51:37.0 +01:00
        }
        +ip: null
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        +mentions: [
          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2073 …}
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        -id: 220703
        -bodyTs: ""
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        +createdAt: DateTimeImmutable @1702489897 {#2135
          date: 2023-12-13 18:51:37.0 +01:00
        }
        +"title": 220703
      }
      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@friendly_ghost@beehaw.org"
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      }
      18 => App\Entity\EntryComment {#2081
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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          date: 2023-12-13 08:25:44.0 +01:00
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
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        -id: 220301
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          date: 2023-12-13 08:47:01.0 +01:00
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@Perfide@reddthat.com"
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      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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        +"title": 218912
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      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
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          "@wren@sopuli.xyz"
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        -id: 220929
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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          "@frezik@midwest.social"
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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      3 => App\Entity\EntryComment {#2115
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          "@Abnorc@lemm.ee"
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          date: 2024-01-09 06:33:54.0 +01:00
        }
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      2 => App\Entity\EntryComment {#1550
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        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030}
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
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          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
        +reports: Doctrine\ORM\PersistentCollection {#2345 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
  +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
  +lang: "en"
  +isAdult: false
  +favouriteCount: 3
  +score: 0
  +lastActive: DateTime @1702411692 {#2019
    date: 2023-12-12 21:08:12.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@Prunebutt@feddit.de"
    "@Prunebutt"
    "@SpaceNoodle@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2024 …}
  +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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  +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
  -id: 219156
  -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
  +ranking: 0
  +commentCount: 0
  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5663475"
  +editedAt: null
  +createdAt: DateTimeImmutable @1702411692 {#2023
    date: 2023-12-12 21:08:12.0 +01:00
  }
  +"title": 219156
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2030
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702509858 {#2104
          date: 2023-12-14 00:24:18.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2111 …}
        +nested: Doctrine\ORM\PersistentCollection {#2102 …}
        +votes: Doctrine\ORM\PersistentCollection {#2103 …}
        +reports: Doctrine\ORM\PersistentCollection {#2110 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2112 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2114 …}
        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
        +ranking: 0
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        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5693966"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702509858 {#2100
          date: 2023-12-14 00:24:18.0 +01:00
        }
        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
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        +body: "?"
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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          date: 2023-12-13 18:51:37.0 +01:00
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        +"title": 220703
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      12 => App\Entity\EntryComment {#1909
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@friendly_ghost@beehaw.org"
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      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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          date: 2023-12-13 08:25:44.0 +01:00
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
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      }
      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@Perfide@reddthat.com"
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      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
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        -id: 220929
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      }
      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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          "@frezik@midwest.social"
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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          "@atomicorange@lemmy.world"
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      3 => App\Entity\EntryComment {#2115
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          "@Abnorc@lemm.ee"
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          date: 2024-01-09 06:33:54.0 +01:00
        }
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          date: 2023-12-14 21:03:05.0 +01:00
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      2 => App\Entity\EntryComment {#1550
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
        +votes: Doctrine\ORM\PersistentCollection {#1562 …}
        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030}
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
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          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
        +reports: Doctrine\ORM\PersistentCollection {#2345 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
  +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
  +lang: "en"
  +isAdult: false
  +favouriteCount: 3
  +score: 0
  +lastActive: DateTime @1702411692 {#2019
    date: 2023-12-12 21:08:12.0 +01:00
  }
  +ip: null
  +tags: null
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    "@wischi@programming.dev"
    "@Prunebutt@feddit.de"
    "@Prunebutt"
    "@SpaceNoodle@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2024 …}
  +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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  +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
  -id: 219156
  -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
  +ranking: 0
  +commentCount: 0
  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5663475"
  +editedAt: null
  +createdAt: DateTimeImmutable @1702411692 {#2023
    date: 2023-12-12 21:08:12.0 +01:00
  }
  +"title": 219156
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2030
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702509858 {#2104
          date: 2023-12-14 00:24:18.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2111 …}
        +nested: Doctrine\ORM\PersistentCollection {#2102 …}
        +votes: Doctrine\ORM\PersistentCollection {#2103 …}
        +reports: Doctrine\ORM\PersistentCollection {#2110 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2112 …}
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          "@agni@lemmings.world"
        ]
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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      18 => App\Entity\EntryComment {#2081
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
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        -id: 220301
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@Perfide@reddthat.com"
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      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
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          "@wren@sopuli.xyz"
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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          "@frezik@midwest.social"
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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      3 => App\Entity\EntryComment {#2115
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
        +lastActive: DateTime @1702404031 {#1579
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
        +votes: Doctrine\ORM\PersistentCollection {#1562 …}
        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1556 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030}
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
        +reports: Doctrine\ORM\PersistentCollection {#2345 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
  +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
  +lang: "en"
  +isAdult: false
  +favouriteCount: 3
  +score: 0
  +lastActive: DateTime @1702411692 {#2019
    date: 2023-12-12 21:08:12.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@Prunebutt@feddit.de"
    "@Prunebutt"
    "@SpaceNoodle@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2024 …}
  +nested: Doctrine\ORM\PersistentCollection {#2018 …}
  +votes: Doctrine\ORM\PersistentCollection {#2011 …}
  +reports: Doctrine\ORM\PersistentCollection {#2021 …}
  +favourites: Doctrine\ORM\PersistentCollection {#2029 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
  -id: 219156
  -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
  +ranking: 0
  +commentCount: 0
  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5663475"
  +editedAt: null
  +createdAt: DateTimeImmutable @1702411692 {#2023
    date: 2023-12-12 21:08:12.0 +01:00
  }
  +"title": 219156
}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1598
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@Littleborat@feddit.de"
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      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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      18 => App\Entity\EntryComment {#2081
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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      3 => App\Entity\EntryComment {#2115
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        +image: null
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
        +lastActive: DateTime @1702404031 {#1579
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
        +votes: Doctrine\ORM\PersistentCollection {#1562 …}
        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1556 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
        +votes: Doctrine\ORM\PersistentCollection {#2011 …}
        +reports: Doctrine\ORM\PersistentCollection {#2021 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2029 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598}
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
  +body: """
    “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
    \n
    For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
    \n
    You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
    \n
    6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
    \n
    You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
    \n
    1 / 2 * 6 * 3\n
    \n
    This also works for addition and subtraction\n
    \n
    7 + 8 - 5\n
    \n
    You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
    \n
    8 - 5 + 7\n
    \n
    or like this\n
    \n
    0 - 5 + 8 + 7\n
    \n
    because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
    \n
    -5 + 8 + 7\n
    \n
    That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
    """
  +lang: "en"
  +isAdult: false
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  +score: 0
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    date: 2023-12-12 19:27:21.0 +01:00
  }
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  +mentions: [
    "@wischi@programming.dev"
    "@Rinox@feddit.it"
  ]
  +children: Doctrine\ORM\PersistentCollection {#1629 …}
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  -id: 218909
  -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
  +ranking: 0
  +commentCount: 0
  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5661037"
  +editedAt: DateTimeImmutable @1704106921 {#1616
    date: 2024-01-01 12:02:01.0 +01:00
  }
  +createdAt: DateTimeImmutable @1702405641 {#1611
    date: 2023-12-12 19:27:21.0 +01:00
  }
  +"title": 218909
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1598
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          "@agni@lemmings.world"
        ]
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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      18 => App\Entity\EntryComment {#2081
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
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          "@wren@sopuli.xyz"
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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      4 => App\Entity\EntryComment {#2360
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        +body: "That’s actually a great way of putting it 🤣"
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        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2381 …}
        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
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        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
        +votes: Doctrine\ORM\PersistentCollection {#1562 …}
        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1556 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +reports: Doctrine\ORM\PersistentCollection {#2021 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2029 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598}
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
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        +score: 0
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          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
  +body: """
    “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
    \n
    For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
    \n
    You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
    \n
    6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
    \n
    You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
    \n
    1 / 2 * 6 * 3\n
    \n
    This also works for addition and subtraction\n
    \n
    7 + 8 - 5\n
    \n
    You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
    \n
    8 - 5 + 7\n
    \n
    or like this\n
    \n
    0 - 5 + 8 + 7\n
    \n
    because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
    \n
    -5 + 8 + 7\n
    \n
    That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
    """
  +lang: "en"
  +isAdult: false
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    date: 2023-12-12 19:27:21.0 +01:00
  }
  +ip: null
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    "@wischi@programming.dev"
    "@Rinox@feddit.it"
  ]
  +children: Doctrine\ORM\PersistentCollection {#1629 …}
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  -id: 218909
  -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
  +ranking: 0
  +commentCount: 0
  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5661037"
  +editedAt: DateTimeImmutable @1704106921 {#1616
    date: 2024-01-01 12:02:01.0 +01:00
  }
  +createdAt: DateTimeImmutable @1702405641 {#1611
    date: 2023-12-12 19:27:21.0 +01:00
  }
  +"title": 218909
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1598
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
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        +user: App\Entity\User {#261 …}
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
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        +body: "?"
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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        +body: "Thank you for taking the time to read it."
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      18 => App\Entity\EntryComment {#2081
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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        +body: "Thank you for taking the time reading it."
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2381 …}
        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
        +lastActive: DateTime @1702404031 {#1579
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
        +votes: Doctrine\ORM\PersistentCollection {#1562 …}
        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1556 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
        +votes: Doctrine\ORM\PersistentCollection {#2011 …}
        +reports: Doctrine\ORM\PersistentCollection {#2021 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2029 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598}
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
        +reports: Doctrine\ORM\PersistentCollection {#2345 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
  +body: """
    “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
    \n
    For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
    \n
    You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
    \n
    6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
    \n
    You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
    \n
    1 / 2 * 6 * 3\n
    \n
    This also works for addition and subtraction\n
    \n
    7 + 8 - 5\n
    \n
    You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
    \n
    8 - 5 + 7\n
    \n
    or like this\n
    \n
    0 - 5 + 8 + 7\n
    \n
    because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
    \n
    -5 + 8 + 7\n
    \n
    That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
    """
  +lang: "en"
  +isAdult: false
  +favouriteCount: 2
  +score: 0
  +lastActive: DateTime @1702405641 {#1711
    date: 2023-12-12 19:27:21.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@Rinox@feddit.it"
  ]
  +children: Doctrine\ORM\PersistentCollection {#1629 …}
  +nested: Doctrine\ORM\PersistentCollection {#1626 …}
  +votes: Doctrine\ORM\PersistentCollection {#1618 …}
  +reports: Doctrine\ORM\PersistentCollection {#1597 …}
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  -id: 218909
  -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
  +ranking: 0
  +commentCount: 0
  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5661037"
  +editedAt: DateTimeImmutable @1704106921 {#1616
    date: 2024-01-01 12:02:01.0 +01:00
  }
  +createdAt: DateTimeImmutable @1702405641 {#1611
    date: 2023-12-12 19:27:21.0 +01:00
  }
  +"title": 218909
}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2031
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
    }
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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        +body: "?"
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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        +body: "Thank you for taking the time to read it."
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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        +body: "Thank you for taking the time reading it."
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      6 => App\Entity\EntryComment {#1717
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        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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        +votes: Doctrine\ORM\PersistentCollection {#2464 …}
        +reports: Doctrine\ORM\PersistentCollection {#2448 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2447 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2462 …}
        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661239"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2381 …}
        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031}
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
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        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
  +body: """
    Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
    \n
    Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
    """
  +lang: "en"
  +isAdult: false
  +favouriteCount: 2
  +score: 0
  +lastActive: DateTime @1702452208 {#2027
    date: 2023-12-13 08:23:28.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@SkiDude@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2037 …}
  +nested: Doctrine\ORM\PersistentCollection {#2075 …}
  +votes: Doctrine\ORM\PersistentCollection {#2079 …}
  +reports: Doctrine\ORM\PersistentCollection {#2078 …}
  +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
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  -id: 220282
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    date: 2023-12-13 08:23:28.0 +01:00
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"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2031
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
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    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
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    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
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      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      }
      12 => App\Entity\EntryComment {#1909
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
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          "@friendly_ghost@beehaw.org"
        ]
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      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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          "@dgmib@lemmy.world"
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      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@Perfide@reddthat.com"
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      8 => App\Entity\EntryComment {#1728
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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      5 => App\Entity\EntryComment {#2059
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        +body: "Thank you for taking the time reading it."
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      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 6
        +score: 0
        +lastActive: DateTime @1702406089 {#1720
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1741 …}
        +nested: Doctrine\ORM\PersistentCollection {#1707 …}
        +votes: Doctrine\ORM\PersistentCollection {#2464 …}
        +reports: Doctrine\ORM\PersistentCollection {#2448 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2447 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2462 …}
        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661239"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2381 …}
        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
        +lastActive: DateTime @1702404031 {#1579
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
        +nested: Doctrine\ORM\PersistentCollection {#1566 …}
        +votes: Doctrine\ORM\PersistentCollection {#1562 …}
        +reports: Doctrine\ORM\PersistentCollection {#1554 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1556 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1555 …}
        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 3
        +score: 0
        +lastActive: DateTime @1702411692 {#2019
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
        +nested: Doctrine\ORM\PersistentCollection {#2018 …}
        +votes: Doctrine\ORM\PersistentCollection {#2011 …}
        +reports: Doctrine\ORM\PersistentCollection {#2021 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2029 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2020 …}
        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5663475"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702411692 {#2023
          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031}
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
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        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
        +lastActive: DateTime @1702452984 {#2092
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
        +nested: Doctrine\ORM\PersistentCollection {#2131 …}
        +votes: Doctrine\ORM\PersistentCollection {#2138 …}
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        +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
  +body: """
    Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
    \n
    Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
    """
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"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2031
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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        +body: "?"
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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      18 => App\Entity\EntryComment {#2081
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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        ]
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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        +body: "Thank you for taking the time reading it."
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
        +nested: Doctrine\ORM\PersistentCollection {#2057 …}
        +votes: Doctrine\ORM\PersistentCollection {#2055 …}
        +reports: Doctrine\ORM\PersistentCollection {#2054 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2053 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2165 …}
        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5693660"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 6
        +score: 0
        +lastActive: DateTime @1702406089 {#1720
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1741 …}
        +nested: Doctrine\ORM\PersistentCollection {#1707 …}
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5661239"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2378 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
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        +lastActive: DateTime @1702584185 {#2117
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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        +isAdult: false
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          date: 2023-12-12 19:00:31.0 +01:00
        }
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5660419"
        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
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        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031}
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +downVotes: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
        +favouriteCount: 0
        +score: 0
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          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          date: 2023-12-13 08:36:24.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2133 …}
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
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    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
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      date: 2023-12-12 07:46:26.0 +01:00
    }
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     …2
  }
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  +body: """
    Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
    \n
    Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
    """
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    date: 2023-12-13 08:23:28.0 +01:00
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    "@SkiDude@lemmy.world"
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}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1604
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    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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      15 => App\Entity\EntryComment {#2099
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        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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        +body: "?"
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
        ]
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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      12 => App\Entity\EntryComment {#1909
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        +body: "Thank you for taking the time to read it."
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      18 => App\Entity\EntryComment {#2081
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        +body: "Did you read the blog post? I also quoted the exact same thing."
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      1 => App\Entity\EntryComment {#2344
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        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
        +ranking: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
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        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
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        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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        +isAdult: false
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          date: 2023-12-14 21:03:05.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          date: 2023-12-12 19:00:31.0 +01:00
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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          date: 2023-12-12 19:27:21.0 +01:00
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
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        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604}
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
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          date: 2023-12-12 18:53:06.0 +01:00
        }
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
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          "@wischi@programming.dev"
          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
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    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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  +body: """
    ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
    \n
    I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
    """
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    date: 2023-12-12 19:11:17.0 +01:00
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    "@jdaxe@infosec.pub"
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1604
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
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      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
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          date: 2023-12-14 00:24:18.0 +01:00
        }
        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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          date: 2023-12-12 20:35:46.0 +01:00
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      12 => App\Entity\EntryComment {#1909
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
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          "@friendly_ghost@beehaw.org"
        ]
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          date: 2023-12-12 20:21:43.0 +01:00
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      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
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          "@dgmib@lemmy.world"
        ]
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          date: 2023-12-13 08:25:44.0 +01:00
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      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
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      }
      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@Perfide@reddthat.com"
        ]
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      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
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        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
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        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:34:49.0 +01:00
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
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        +lastActive: DateTime @1702408873 {#2370
          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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        +apId: "https://programming.dev/comment/5662341"
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        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
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          date: 2023-12-14 21:03:05.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          date: 2023-12-12 19:00:31.0 +01:00
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
        +ranking: 0
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:27:21.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
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        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
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        +downVotes: 0
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
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        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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        +isAdult: false
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          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604}
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          date: 2023-12-12 18:53:06.0 +01:00
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        +ip: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
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        +image: null
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
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          "@CallumWells@lemmy.ml"
        ]
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
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    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
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    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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  +body: """
    ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
    \n
    I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
    """
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    date: 2023-12-12 19:11:17.0 +01:00
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    "@jdaxe@infosec.pub"
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1604
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
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    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          date: 2023-12-14 00:24:18.0 +01:00
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      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@agni@lemmings.world"
        ]
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        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
        ]
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      11 => App\Entity\EntryComment {#2323
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        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      12 => App\Entity\EntryComment {#1909
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
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          "@friendly_ghost@beehaw.org"
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      18 => App\Entity\EntryComment {#2081
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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          date: 2023-12-13 08:25:44.0 +01:00
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      1 => App\Entity\EntryComment {#2344
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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      7 => App\Entity\EntryComment {#2460
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        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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        ]
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
        +nested: Doctrine\ORM\PersistentCollection {#2057 …}
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        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
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          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 6
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          date: 2023-12-12 19:34:49.0 +01:00
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-14 21:03:05.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          date: 2023-12-12 19:00:31.0 +01:00
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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          date: 2023-12-12 19:27:21.0 +01:00
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
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        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
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        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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        +isAdult: false
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          date: 2023-12-13 08:23:28.0 +01:00
        }
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
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        +downVotes: 0
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          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604}
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
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          "@CallumWells@lemmy.ml"
        ]
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          date: 2024-01-03 06:18:24.0 +01:00
        }
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    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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  +body: """
    ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
    \n
    I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
    """
  +lang: "en"
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    date: 2023-12-12 19:11:17.0 +01:00
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    "@wischi@programming.dev"
    "@jdaxe@infosec.pub"
  ]
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  +ranking: 0
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}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1606
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
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      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
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          date: 2023-12-14 00:24:18.0 +01:00
        }
        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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          date: 2023-12-12 20:35:46.0 +01:00
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      }
      11 => App\Entity\EntryComment {#2323
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
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          date: 2023-12-13 18:19:51.0 +01:00
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      }
      12 => App\Entity\EntryComment {#1909
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@wischi@programming.dev"
          "@friendly_ghost@beehaw.org"
        ]
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          date: 2023-12-12 20:21:43.0 +01:00
        }
        +"title": 219050
      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
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          "@dgmib@lemmy.world"
        ]
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          date: 2023-12-13 08:25:44.0 +01:00
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      }
      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
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      }
      7 => App\Entity\EntryComment {#2460
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
        +lang: "en"
        +isAdult: false
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        +score: 0
        +lastActive: DateTime @1702408839 {#2461
          date: 2023-12-12 20:20:39.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2452 …}
        +nested: Doctrine\ORM\PersistentCollection {#2454 …}
        +votes: Doctrine\ORM\PersistentCollection {#2459 …}
        +reports: Doctrine\ORM\PersistentCollection {#2470 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2467 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2371 …}
        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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        +createdAt: DateTimeImmutable @1702408839 {#2456
          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405744 {#1721
          date: 2023-12-12 19:29:04.0 +01:00
        }
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1737 …}
        +nested: Doctrine\ORM\PersistentCollection {#1732 …}
        +votes: Doctrine\ORM\PersistentCollection {#1735 …}
        +reports: Doctrine\ORM\PersistentCollection {#1729 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1719 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1714 …}
        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
        +ranking: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
        +nested: Doctrine\ORM\PersistentCollection {#2057 …}
        +votes: Doctrine\ORM\PersistentCollection {#2055 …}
        +reports: Doctrine\ORM\PersistentCollection {#2054 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2053 …}
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        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
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        +createdAt: DateTimeImmutable @1702509087 {#2056
          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 6
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          date: 2023-12-12 19:34:49.0 +01:00
        }
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702406089 {#1716
          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
        +nested: Doctrine\ORM\PersistentCollection {#2372 …}
        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
        +reports: Doctrine\ORM\PersistentCollection {#2385 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5662341"
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        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
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          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
        +nested: Doctrine\ORM\PersistentCollection {#2116 …}
        +votes: Doctrine\ORM\PersistentCollection {#2161 …}
        +reports: Doctrine\ORM\PersistentCollection {#2163 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2044 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2127 …}
        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
        +ranking: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 4
        +score: 0
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          date: 2023-12-12 19:00:31.0 +01:00
        }
        +ip: null
        +tags: null
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1525 …}
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702404031 {#1548
          date: 2023-12-12 19:00:31.0 +01:00
        }
        +"title": 218846
      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2024 …}
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:27:21.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
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        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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        +isAdult: false
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          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +downVotes: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606}
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          "@CallumWells@lemmy.ml"
        ]
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        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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        +apId: "https://programming.dev/comment/5675726"
        +editedAt: DateTimeImmutable @1704259104 {#2094
          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
  +body: """
    Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
    \n
    But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
    """
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    date: 2023-12-12 18:53:06.0 +01:00
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    "@wischi@programming.dev"
    "@dgmib@lemmy.world"
  ]
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  -id: 218823
  -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
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    date: 2024-01-01 13:15:01.0 +01:00
  }
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1606
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
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    +hasEmbed: true
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    +score: 0
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    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
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    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
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    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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          date: 2023-12-14 00:24:18.0 +01:00
        }
        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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        -id: 219075
        -bodyTs: "'addit':91 'altern':78 'basic':101 'blame':75 'certain':51 'come':113 'comment':38 'divis':115 'drop':82 'embarrass':30 'fix':15 'group':66 'invers':84 'like':67 'look':35 'mani':18 'math':43 'md':62,70 'mnemon':59 'much':4 'multipl':89,112 'noth':26 'one':55,100 'pe':69 'pema':96 'pemda':99 'point':21 'post':12,44 'problem':107 'read':10 'realli':27,73 'say':88 'section':39 'see':47 'set':102 'student':104 'suggest':94 'take':6 'thank':1,19 'think':57,110 'time':8 'typo':17 'use':61,87 'viral':42 'without':65 'would':79"
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          date: 2023-12-12 20:35:46.0 +01:00
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      11 => App\Entity\EntryComment {#2323
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
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          "@MinekPo1@lemmygrad.ml"
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          date: 2023-12-13 18:19:51.0 +01:00
        }
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      }
      12 => App\Entity\EntryComment {#1909
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
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          "@wischi@programming.dev"
          "@friendly_ghost@beehaw.org"
        ]
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          date: 2023-12-12 20:21:43.0 +01:00
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        +"title": 219050
      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
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          "@dgmib@lemmy.world"
        ]
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          date: 2023-12-13 08:25:44.0 +01:00
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        +"title": 220285
      }
      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
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          date: 2023-12-13 08:47:01.0 +01:00
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2042 …}
        +nested: Doctrine\ORM\PersistentCollection {#2060 …}
        +votes: Doctrine\ORM\PersistentCollection {#2331 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#2326 …}
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
        +ranking: 0
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
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      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
        }
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      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
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          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
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          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
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          date: 2023-12-12 20:21:13.0 +01:00
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
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        -id: 219046
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          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          date: 2023-12-14 21:03:05.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
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      }
      16 => App\Entity\EntryComment {#2030
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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          date: 2023-12-12 21:08:12.0 +01:00
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      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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          "@Rinox@feddit.it"
        ]
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
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      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
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        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606}
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          "@CallumWells@lemmy.ml"
        ]
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        -id: 220297
        -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
      }
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
  +body: """
    Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
    \n
    But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
    """
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    date: 2023-12-12 18:53:06.0 +01:00
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    "@wischi@programming.dev"
    "@dgmib@lemmy.world"
  ]
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  -id: 218823
  -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
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    date: 2024-01-01 13:15:01.0 +01:00
  }
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}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#1606
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
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    +hasEmbed: true
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    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
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    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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          date: 2023-12-14 00:24:18.0 +01:00
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        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
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        +body: "?"
        +lang: "en"
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
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          date: 2023-12-13 18:51:37.0 +01:00
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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        -id: 219075
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          date: 2023-12-12 20:35:46.0 +01:00
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        +"title": 219075
      }
      11 => App\Entity\EntryComment {#2323
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
        +isAdult: false
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          "@MinekPo1@lemmygrad.ml"
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        -id: 220678
        -bodyTs: "'articl':8 'calcul':2 'follow':10 'interpret':14 'juxtaposit':12 'list':5 'way':17 'weak':11 'would':13"
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          date: 2023-12-13 18:19:51.0 +01:00
        }
        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@wischi@programming.dev"
          "@friendly_ghost@beehaw.org"
        ]
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          date: 2023-12-12 20:21:43.0 +01:00
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        +"title": 219050
      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
        +isAdult: false
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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          date: 2023-12-13 08:25:44.0 +01:00
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        +"title": 220285
      }
      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          date: 2023-12-13 08:47:01.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
        +ranking: 0
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        +downVotes: 0
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        +apId: "https://programming.dev/comment/5675867"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702453621 {#2332
          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        +favourites: Doctrine\ORM\PersistentCollection {#2467 …}
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
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          date: 2023-12-12 19:29:04.0 +01:00
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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        +createdAt: DateTimeImmutable @1702405744 {#1726
          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
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        +votes: Doctrine\ORM\PersistentCollection {#2055 …}
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        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
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          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:34:49.0 +01:00
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
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        +votes: Doctrine\ORM\PersistentCollection {#2386 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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        +apId: "https://programming.dev/comment/5662341"
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        +createdAt: DateTimeImmutable @1702408873 {#2377
          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
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          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          date: 2023-12-12 19:00:31.0 +01:00
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
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      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2032 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
        +lang: "en"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
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          date: 2023-12-12 21:08:12.0 +01:00
        }
        +"title": 219156
      }
      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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        +isAdult: false
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          date: 2023-12-12 19:27:21.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
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        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
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          date: 2023-12-12 19:27:21.0 +01:00
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        +"title": 218909
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      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
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          date: 2023-12-13 08:23:28.0 +01:00
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
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          date: 2023-12-12 19:11:17.0 +01:00
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        +ranking: 0
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          date: 2023-12-12 19:11:17.0 +01:00
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        +"title": 218871
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      19 => App\Entity\EntryComment {#1606}
      0 => App\Entity\EntryComment {#2140
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
        +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 8
        +score: 0
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          "@CallumWells@lemmy.ml"
        ]
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          date: 2024-01-03 06:18:24.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702452984 {#2241
          date: 2023-12-13 08:36:24.0 +01:00
        }
        +"title": 220297
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    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
  +body: """
    Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
    \n
    But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
    """
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    date: 2023-12-12 18:53:06.0 +01:00
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    "@wischi@programming.dev"
    "@dgmib@lemmy.world"
  ]
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  -id: 218823
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    date: 2024-01-01 13:15:01.0 +01:00
  }
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}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2140
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
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      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
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    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
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      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
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      13 => App\Entity\EntryComment {#2136
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        +body: "?"
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          "@agni@lemmings.world"
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      14 => App\Entity\EntryComment {#2393
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        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@nadiaraven@lemmy.world"
        ]
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      11 => App\Entity\EntryComment {#2323
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
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          date: 2023-12-13 18:19:51.0 +01:00
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      12 => App\Entity\EntryComment {#1909
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        +image: null
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
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          "@friendly_ghost@beehaw.org"
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      18 => App\Entity\EntryComment {#2081
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
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        -id: 220285
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          date: 2023-12-13 08:25:44.0 +01:00
        }
        +"title": 220285
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      1 => App\Entity\EntryComment {#2344
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          date: 2023-12-13 08:47:01.0 +01:00
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
        +ranking: 0
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
        }
        +"title": 219043
      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
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          date: 2023-12-12 19:29:04.0 +01:00
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2047 …}
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        -id: 220929
        -bodyTs: "'read':7 'take':4 'thank':1 'time':6"
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          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:34:49.0 +01:00
        }
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2361 …}
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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        +apId: "https://programming.dev/comment/5662341"
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          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
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          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2123 …}
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
        -bodyTs: "'5':92 '95':90,100 'also':64 'bo':16,20 'bo-dm-a':15 'bodma':4,12 'calcul':63,94,110 'convent':74,82,101 'dictat':67 'divis':52 'dm':17,21,39 'domin':86 'drop':51 'entir':55 'everybodi':7 'except':102 'follow':98 'heart':33 'implement':72 'instead':13 'let':87 'manufactur':95 'mayb':103 'mnemon':58 'oper':31 'order':29 'practic':79 'prioriti':45 'problem':2 'purpos':109 'rememb':11,27,37 'say':89 'special':108 'special-purpos':107 'standard':69 'subtract':54 'suggest':50 'taught':9 'true':61 'typic':76 'use':77 'vs':91 'won':35 'would':83,96"
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        +editedAt: DateTimeImmutable @1704104200 {#1559
          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
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      }
      16 => App\Entity\EntryComment {#2030
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2026 …}
        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          date: 2023-12-12 21:08:12.0 +01:00
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
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          date: 2023-12-12 21:08:12.0 +01:00
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      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
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          date: 2023-12-12 19:27:21.0 +01:00
        }
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          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
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        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
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        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
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          date: 2023-12-12 19:11:17.0 +01:00
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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        +isAdult: false
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
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        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5660232"
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          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
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      0 => App\Entity\EntryComment {#2140}
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
  +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
  +lang: "en"
  +isAdult: false
  +favouriteCount: 8
  +score: 0
  +lastActive: DateTime @1702452984 {#2092
    date: 2023-12-13 08:36:24.0 +01:00
  }
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  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@CallumWells@lemmy.ml"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2133 …}
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  -id: 220297
  -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
  +ranking: 0
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    date: 2024-01-03 06:18:24.0 +01:00
  }
  +createdAt: DateTimeImmutable @1702452984 {#2241
    date: 2023-12-13 08:36:24.0 +01:00
  }
  +"title": 220297
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2140
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
    +votes: Doctrine\ORM\PersistentCollection {#2777 …}
    +reports: Doctrine\ORM\PersistentCollection {#2774 …}
    +favourites: Doctrine\ORM\PersistentCollection {#2808 …}
    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
        +lang: "en"
        +isAdult: false
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        +mentions: [
          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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          date: 2023-12-14 00:24:18.0 +01:00
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        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
        +score: 0
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          date: 2023-12-13 18:51:37.0 +01:00
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        +tags: null
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2073 …}
        +nested: Doctrine\ORM\PersistentCollection {#2072 …}
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        -id: 220703
        -bodyTs: ""
        +ranking: 0
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        +downVotes: 0
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          date: 2023-12-13 18:51:37.0 +01:00
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        +"title": 220703
      }
      14 => App\Entity\EntryComment {#2393
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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        +isAdult: false
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1381 …}
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        -id: 219075
        -bodyTs: "'addit':91 'altern':78 'basic':101 'blame':75 'certain':51 'come':113 'comment':38 'divis':115 'drop':82 'embarrass':30 'fix':15 'group':66 'invers':84 'like':67 'look':35 'mani':18 'math':43 'md':62,70 'mnemon':59 'much':4 'multipl':89,112 'noth':26 'one':55,100 'pe':69 'pema':96 'pemda':99 'point':21 'post':12,44 'problem':107 'read':10 'realli':27,73 'say':88 'section':39 'see':47 'set':102 'student':104 'suggest':94 'take':6 'thank':1,19 'think':57,110 'time':8 'typo':17 'use':61,87 'viral':42 'without':65 'would':79"
        +ranking: 0
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          date: 2023-12-12 20:35:46.0 +01:00
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        +"title": 219075
      }
      11 => App\Entity\EntryComment {#2323
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
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          "@wischi@programming.dev"
          "@MinekPo1@lemmygrad.ml"
        ]
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        -id: 220678
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          date: 2023-12-13 18:19:51.0 +01:00
        }
        +"title": 220678
      }
      12 => App\Entity\EntryComment {#1909
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@friendly_ghost@beehaw.org"
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      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          "@Alcatorda@lemmy.world"
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
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          "@kogasa@programming.dev"
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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          date: 2023-12-14 00:11:27.0 +01:00
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
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      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
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          "@frezik@midwest.social"
        ]
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        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
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        +body: "That’s actually a great way of putting it 🤣"
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          "@atomicorange@lemmy.world"
        ]
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        -id: 219046
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          date: 2023-12-12 20:21:13.0 +01:00
        }
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      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
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        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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          date: 2024-01-09 06:33:54.0 +01:00
        }
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          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
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        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@CarbonScored@hexbear.net"
        ]
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          date: 2024-01-01 11:16:40.0 +01:00
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      16 => App\Entity\EntryComment {#2030
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        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
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          date: 2023-12-13 08:23:28.0 +01:00
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          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
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        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
        +visibility: "visible             "
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:11:17.0 +01:00
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          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
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        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
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        +downVotes: 0
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        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
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          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
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        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
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        +apId: "https://programming.dev/comment/5660232"
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          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
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      }
      0 => App\Entity\EntryComment {#2140}
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
  +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
  +lang: "en"
  +isAdult: false
  +favouriteCount: 8
  +score: 0
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    date: 2023-12-13 08:36:24.0 +01:00
  }
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  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@CallumWells@lemmy.ml"
  ]
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  -id: 220297
  -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
  +ranking: 0
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    date: 2024-01-03 06:18:24.0 +01:00
  }
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    date: 2023-12-13 08:36:24.0 +01:00
  }
  +"title": 220297
}
"App\Security\Voter\UserVoter"
App\Entity\EntryComment {#2140
  +user: App\Entity\User {#261 …}
  +entry: Proxies\__CG__\App\Entity\Entry {#1582
    +user: App\Entity\User {#261 …}
    +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
    +image: Proxies\__CG__\App\Entity\Image {#2758 …}
    +domain: Proxies\__CG__\App\Entity\Domain {#2780 …}
    +slug: "6-2-1-2"
    +title: "6÷2(1+2)"
    +url: "https://programming.dev/pictrs/image/1ff1dbb1-0e4c-4cc6-80c0-0c71869ebe46.jpeg"
    +body: """
      [zeta.one/viral-math/](https://zeta.one/viral-math/)\n
      \n
      I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.\n
      \n
      It’s about a 30min read so thank you in advance if you really take the time to read it, but I think it’s worth it if you joined such discussions in the past, but I’m probably biased because I wrote it :)
      """
    +type: "image"
    +lang: "en"
    +isOc: false
    +hasEmbed: true
    +commentCount: 242
    +favouriteCount: 801
    +score: 0
    +isAdult: false
    +sticky: false
    +lastActive: DateTime @1711667888 {#2265
      date: 2024-03-29 00:18:08.0 +01:00
    }
    +ip: null
    +adaAmount: 0
    +tags: null
    +mentions: null
    +comments: Doctrine\ORM\PersistentCollection {#2779 …}
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    +notifications: Doctrine\ORM\PersistentCollection {#2804 …}
    +badges: Doctrine\ORM\PersistentCollection {#2821 …}
    +children: [
      15 => App\Entity\EntryComment {#2099
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2105 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2108 …}
        +body: """
          Chat GPT’s answer for me:\n
          \n
          > Certainly! The expression 6/2(1+2) is ambiguous due to the implicit multiplication. Let’s solve it in both ways:\n
          > \n
          > 1. Implicit multiplication with higher priority:\n
          > \n
          > [ \frac{6}{2}(1+2) ]\n
          > \n
          > First, solve the parentheses:\n
          > \n
          > [ \frac{6}{2}(3) ]\n
          > \n
          > Now, perform the division:\n
          > \n
          > [ 3 \times 3 = 9 ]\n
          > \n
          > 2. Implicit multiplication with the same priority as division:\n
          > \n
          > [ \frac{6}{2(1+2)} ]\n
          > \n
          > Again, solve the parentheses:\n
          > \n
          > [ \frac{6}{2(3)} ]\n
          > \n
          > Now, perform the multiplication first:\n
          > \n
          > [ \frac{6}{6} = 1 ]\n
          > \n
          > So, depending on the interpretation of implicit multiplication, you can get different results: 9 or 1.\n
          \n
          I think it’s funny that ChatGPT figured out 1 and 9 but has the steps completely backwards. First it points out what has high priority and then does the exact opposite, both times 🤣
          """
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          "@wischi@programming.dev"
          "@Littleborat@feddit.de"
          "@Supervisor194@lemmy.world"
        ]
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        -id: 220939
        -bodyTs: "'+2':12,37,67 '1':11,27,36,66,84,100,110 '2':35,44,54,65,74 '3':45,50,52,75 '6':34,43,64,73,82,83 '6/2':10 '9':53,98,112 'ambigu':14 'answer':4 'backward':118 'certain':7 'chat':1 'chatgpt':107 'complet':117 'depend':86 'differ':96 'divis':49,62 'due':15 'exact':131 'express':9 'figur':108 'first':38,80,119 'frac':33,42,63,72,81 'funni':105 'get':95 'gpt':2 'high':125 'higher':31 'implicit':18,28,55,91 'interpret':89 'let':20 'multipl':19,29,56,79,92 'opposit':132 'parenthes':41,71 'perform':47,77 'point':121 'prioriti':32,60,126 'result':97 'solv':22,39,69 'step':116 'think':102 'time':51,134 'way':26"
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        +"title": 220939
      }
      13 => App\Entity\EntryComment {#2136
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2137 …}
        +body: "?"
        +lang: "en"
        +isAdult: false
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          date: 2023-12-13 18:51:37.0 +01:00
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          "@wischi@programming.dev"
          "@agni@lemmings.world"
        ]
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        -id: 220703
        -bodyTs: ""
        +ranking: 0
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        +downVotes: 0
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          date: 2023-12-13 18:51:37.0 +01:00
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      }
      14 => App\Entity\EntryComment {#2393
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1384 …}
        +body: """
          Thank you so much for taking the time and reading the post. I just fixed the typos, many thanks for pointing them out.\n
          \n
          There is nothing really to be embarrassed about and if you look at the comment sections of such viral math posts you can see that you are certainly not the only one. I think that mnemonics that use “MD” and “AS” without grouping like in “PE(MD)(AS)” are really to blame here.\n
          \n
          An alternative would be to drop the inverse and only use say multiplication and addition as I suggested with “PEMA” but with “PEMDAS” one basically sets up students for the problem that they think that multiplication comes before division.
          """
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          "@wischi@programming.dev"
          "@nadiaraven@lemmy.world"
        ]
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        -id: 219075
        -bodyTs: "'addit':91 'altern':78 'basic':101 'blame':75 'certain':51 'come':113 'comment':38 'divis':115 'drop':82 'embarrass':30 'fix':15 'group':66 'invers':84 'like':67 'look':35 'mani':18 'math':43 'md':62,70 'mnemon':59 'much':4 'multipl':89,112 'noth':26 'one':55,100 'pe':69 'pema':96 'pemda':99 'point':21 'post':12,44 'problem':107 'read':10 'realli':27,73 'say':88 'section':39 'see':47 'set':102 'student':104 'suggest':94 'take':6 'thank':1,19 'think':57,110 'time':8 'typo':17 'use':61,87 'viral':42 'without':65 'would':79"
        +ranking: 0
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          date: 2023-12-12 20:35:46.0 +01:00
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        +"title": 219075
      }
      11 => App\Entity\EntryComment {#2323
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2324 …}
        +body: "All calculators that are listed in the article as following weak juxtaposition would interpreted it that way."
        +lang: "en"
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          "@MinekPo1@lemmygrad.ml"
        ]
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          date: 2023-12-13 18:19:51.0 +01:00
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      12 => App\Entity\EntryComment {#1909
        +user: App\Entity\User {#261 …}
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        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1708 …}
        +body: "Thank you for taking the time to read it."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 20:21:43.0 +01:00
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          "@friendly_ghost@beehaw.org"
        ]
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          date: 2023-12-12 20:21:43.0 +01:00
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      }
      18 => App\Entity\EntryComment {#2081
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2077 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: "Did you read the blog post? I also quoted the exact same thing."
        +lang: "en"
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          date: 2023-12-13 08:25:44.0 +01:00
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          "@dgmib@lemmy.world"
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          date: 2023-12-13 08:25:44.0 +01:00
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      1 => App\Entity\EntryComment {#2344
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        +root: Proxies\__CG__\App\Entity\EntryComment {#2349 …}
        +body: """
          You are right the manual isn’t very clear here. My guess is that parentheses are also considered Type B functions. I actually chose those calculators because I have them here and can test things and because they split the implicit multiplication priority. Most other calculators just state “implicit multiplication” and that’s it.\n
          \n
          My guess is that the list of Type B functions is not complete but implicit multiplication with parentheses should be considered important enough for it to be documented.
          """
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          date: 2023-12-13 08:47:01.0 +01:00
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          "@wischi@programming.dev"
          "@Alcatorda@lemmy.world"
        ]
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        -id: 220301
        -bodyTs: "'actual':23 'also':17 'b':20,63 'calcul':26,46 'chose':24 'clear':9 'complet':67 'consid':18,75 'document':82 'enough':77 'function':21,64 'guess':12,56 'implicit':41,49,69 'import':76 'isn':6 'list':60 'manual':5 'multipl':42,50,70 'parenthes':15,72 'prioriti':43 'right':3 'split':39 'state':48 'test':34 'thing':35 'type':19,62"
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          date: 2023-12-13 08:47:01.0 +01:00
        }
        +"title": 220301
      }
      7 => App\Entity\EntryComment {#2460
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2453 …}
        +body: """
          The calculator section is actually pretty important, because it shows how there is no consensus. Sharp is especially interesting with respect to your comment because all scientific Sharp calculators say it’s 1. For all the other brands for hardware calculators there are roughly 50:50 with saying 1 and 9.\n
          \n
          So I’m not sure if you are suggesting that thousands of experts and hundreds of engineers at Casio, Texas Instruments, HP and Sharp got it wrong and you got it right?\n
          \n
          There really is no agreed upon standard even amongst experts.
          """
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          date: 2023-12-12 20:20:39.0 +01:00
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          "@wischi@programming.dev"
          "@Perfide@reddthat.com"
        ]
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        -id: 219043
        -bodyTs: "'1':33,49 '50':45,46 '9':51 'actual':5 'agre':88 'amongst':92 'brand':38 'calcul':2,29,41 'casio':70 'comment':24 'consensus':15 'engin':68 'especi':18 'even':91 'expert':64,93 'got':76,81 'hardwar':40 'hp':73 'hundr':66 'import':7 'instrument':72 'interest':19 'm':54 'pretti':6 'realli':85 'respect':21 'right':83 'rough':44 'say':30,48 'scientif':27 'section':3 'sharp':16,28,75 'show':10 'standard':90 'suggest':60 'sure':56 'texa':71 'thousand':62 'upon':89 'wrong':78"
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          date: 2023-12-12 20:20:39.0 +01:00
        }
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      }
      8 => App\Entity\EntryComment {#1728
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#1736 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1730 …}
        +body: "I still don’t see a number ;-) but you can take a look at the meme to see other people with math degrees shouting at each other."
        +lang: "en"
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          date: 2023-12-12 19:29:04.0 +01:00
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          "@wischi@programming.dev"
          "@kogasa@programming.dev"
        ]
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        -id: 218912
        -bodyTs: "'degre':23 'look':13 'math':22 'meme':16 'number':7 'peopl':20 'see':5,18 'shout':24 'still':2 'take':11"
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          date: 2023-12-12 19:29:04.0 +01:00
        }
        +"title": 218912
      }
      5 => App\Entity\EntryComment {#2059
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2046 …}
        +body: "Thank you for taking the time reading it."
        +lang: "en"
        +isAdult: false
        +favouriteCount: 1
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        +lastActive: DateTime @1702509087 {#2051
          date: 2023-12-14 00:11:27.0 +01:00
        }
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          "@wischi@programming.dev"
          "@wren@sopuli.xyz"
        ]
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        -id: 220929
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          date: 2023-12-14 00:11:27.0 +01:00
        }
        +"title": 220929
      }
      6 => App\Entity\EntryComment {#1717
        +user: App\Entity\User {#261 …}
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        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1739 …}
        +body: "I’m not sure if you read the post yet but I also have a short section about alternative notations which are less ambiguous or never ambiguous. RPN has the same issue as most notations that are never ambiguous namely that it’s hard to read - especially for big expressions."
        +lang: "en"
        +isAdult: false
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          date: 2023-12-12 19:34:49.0 +01:00
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          "@wischi@programming.dev"
          "@frezik@midwest.social"
        ]
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        -id: 218930
        -bodyTs: "'also':13 'altern':19 'ambigu':24,27,39 'big':49 'especi':47 'express':50 'hard':44 'issu':32 'less':23 'm':2 'name':40 'never':26,38 'notat':20,35 'post':9 'read':7,46 'rpn':28 'section':17 'short':16 'sure':4 'yet':10"
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          date: 2023-12-12 19:34:49.0 +01:00
        }
        +"title": 218930
      }
      4 => App\Entity\EntryComment {#2360
        +user: App\Entity\User {#261 …}
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        +parent: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2359 …}
        +body: "That’s actually a great way of putting it 🤣"
        +lang: "en"
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          date: 2023-12-12 20:21:13.0 +01:00
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          "@wischi@programming.dev"
          "@atomicorange@lemmy.world"
        ]
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        -id: 219046
        -bodyTs: "'actual':3 'great':5 'put':8 'way':6"
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          date: 2023-12-12 20:21:13.0 +01:00
        }
        +"title": 219046
      }
      3 => App\Entity\EntryComment {#2115
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2113 …}
        +body: "Just saw the image you posted and it’s awesome :-) I’m part of the group that can’t solve it, because I don’t know the 🌭 function from the top of my head. I also found the choice of symbols interesting that 🌭 is analytical continuation of 🍔 and not the other way round 🤣"
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        +isAdult: false
        +favouriteCount: 0
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          date: 2023-12-14 21:03:05.0 +01:00
        }
        +ip: null
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          "@wischi@programming.dev"
          "@Abnorc@lemm.ee"
        ]
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        -id: 222203
        -bodyTs: "'also':36 'analyt':45 'awesom':10 'choic':39 'continu':46 'found':37 'function':28 'group':16 'head':34 'imag':4 'interest':42 'know':26 'm':12 'part':13 'post':6 'round':53 'saw':2 'solv':20 'symbol':41 'top':31 'way':52"
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        +apId: "https://programming.dev/comment/5714985"
        +editedAt: DateTimeImmutable @1704778434 {#2121
          date: 2024-01-09 06:33:54.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702584185 {#2122
          date: 2023-12-14 21:03:05.0 +01:00
        }
        +"title": 222203
      }
      2 => App\Entity\EntryComment {#1550
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1561 …}
        +body: """
          The problem with BODMAS is that everybody is taught to remember “BODMAS” instead of “BO-DM-AS” or “BO(DM)(AS)”. If you can’t remember the order of operations by heart you won’t remember that “DM” and “AS” are the same priority, that’s why I suggested dropping “division” and “subtraction” entirely from the mnemonic.\n
          \n
          It’s true that calculators also don’t dictate a standard but they implement what conventions are typically used in practice. If a convention would be so dominating (let’s say 95% vs 5%) all calculator manufacturers would just follow the 95% convention, except maybe for some very special-purpose calculators.
          """
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          "@wischi@programming.dev"
          "@CarbonScored@hexbear.net"
        ]
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        -id: 218846
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          date: 2024-01-01 11:16:40.0 +01:00
        }
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          date: 2023-12-12 19:00:31.0 +01:00
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      }
      16 => App\Entity\EntryComment {#2030
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        +body: "@Prunebutt meant 4.5! and not 4.5. Because it’s not an integer we have to use the gamma function, the extension of the factorial function to get the actual mean between 1 and 9 =&gt; 4.5! = 52.3428 which looks about right 🤣"
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          "@wischi@programming.dev"
          "@Prunebutt@feddit.de"
          "@Prunebutt"
          "@SpaceNoodle@lemmy.world"
        ]
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        -id: 219156
        -bodyTs: "'1':32 '4.5':3,6,35 '52.3428':36 '9':34 'actual':29 'extens':21 'factori':24 'function':19,25 'gamma':18 'get':27 'integ':12 'look':38 'mean':30 'meant':2 'prunebutt':1 'right':40 'use':16"
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          date: 2023-12-12 21:08:12.0 +01:00
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      9 => App\Entity\EntryComment {#1598
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
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        +root: Proxies\__CG__\App\Entity\EntryComment {#1630 …}
        +body: """
          “when in doubt” is a bit broad but left to right is a great default for operations with the same priority. There is actually a way to calculate in any order if divisions are converted to multiplications (by using the reciprocal value) and subtractions are converted to additions (by negating the value) that requires at least a little bit of math knowledge and experience so it’s typically not taught until later to prevent even more confusion.\n
          \n
          For example this: 6 / 2 * 3 can also be rewritten as 6 * 2⁻¹ * 3 and because multiplication is commutative you can now do it in any order for example like 3 * 6 * 2⁻¹\n
          \n
          You can also “rearrange” the order without changing the meaning if you move the correct operation (left to the number) with it (should only be done with explicit multiplication)\n
          \n
          6 / 2 * 3 into 6 * 3 / 2 (note that I moved the division with the 2)\n
          \n
          You can even bring the two to the front. Just remember that left to the six is an “imaginary” (don’t quote me ^^) multiplication. And because we can’t just move “/2” to the beginning we have to insert a one (empty product - check Wikipedia) like so:\n
          \n
          1 / 2 * 6 * 3\n
          \n
          This also works for addition and subtraction\n
          \n
          7 + 8 - 5\n
          \n
          You can move them around if you take the operation left to the number with it. With addition the “imaginary” operation at the beginning is a plus sign and the implicit number you use is zero (empty sum - check Wikipedia)\n
          \n
          8 - 5 + 7\n
          \n
          or like this\n
          \n
          0 - 5 + 8 + 7\n
          \n
          because with negative numbers you can use the minus sign to indicate negative numbers you can even drop the leading zero like this\n
          \n
          -5 + 8 + 7\n
          \n
          That’s not really possible with multiplication because “/2” is not a valid notation for “1/2”
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702405641 {#1711
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@Rinox@feddit.it"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1629 …}
        +nested: Doctrine\ORM\PersistentCollection {#1626 …}
        +votes: Doctrine\ORM\PersistentCollection {#1618 …}
        +reports: Doctrine\ORM\PersistentCollection {#1597 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1731 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1723 …}
        -id: 218909
        -bodyTs: "'-5':290 '/2':187,301 '0':263 '1':203 '1/2':308 '2':82,90,110,141,146,155,204 '3':83,91,108,142,145,206 '5':216,258,264 '6':81,89,109,140,144,205 '7':214,259,266,292 '8':215,257,265,291 'actual':24 'addit':48,211,234 'also':85,113,208 'around':221 'begin':190,240 'bit':6,59 'bring':159 'broad':7 'calcul':28 'chang':118 'check':199,255 'commut':96 'confus':77 'convert':35,46 'correct':125 'default':15 'divis':33,152 'done':136 'doubt':3 'drop':284 'empti':197,253 'even':75,158,283 'exampl':79,106 'experi':64 'explicit':138 'front':164 'great':14 'imaginari':174,236 'implicit':247 'indic':278 'insert':194 'knowledg':62 'later':72 'lead':286 'least':56 'left':9,127,168,227 'like':107,201,261,288 'littl':58 'math':61 'mean':120 'minus':275 'move':123,150,186,219 'multipl':37,94,139,179,299 'negat':50,269,279 'notat':306 'note':147 'number':130,230,248,270,280 'one':196 'oper':17,126,226,237 'order':31,104,116 'plus':243 'possibl':297 'prevent':74 'prioriti':21 'product':198 'quot':177 'realli':296 'rearrang':114 'reciproc':41 'rememb':166 'requir':54 'rewritten':87 'right':11 'sign':244,276 'six':171 'subtract':44,213 'sum':254 'take':224 'taught':70 'two':161 'typic':68 'use':39,250,273 'valid':305 'valu':42,52 'way':26 'wikipedia':200,256 'without':117 'work':209 'zero':252,287"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5661037"
        +editedAt: DateTimeImmutable @1704106921 {#1616
          date: 2024-01-01 12:02:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702405641 {#1611
          date: 2023-12-12 19:27:21.0 +01:00
        }
        +"title": 218909
      }
      17 => App\Entity\EntryComment {#2031
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#2036 …}
        +body: """
          Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.\n
          \n
          Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 2
        +score: 0
        +lastActive: DateTime @1702452208 {#2027
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@SkiDude@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#2037 …}
        +nested: Doctrine\ORM\PersistentCollection {#2075 …}
        +votes: Doctrine\ORM\PersistentCollection {#2079 …}
        +reports: Doctrine\ORM\PersistentCollection {#2078 …}
        +favourites: Doctrine\ORM\PersistentCollection {#2097 …}
        +notifications: Doctrine\ORM\PersistentCollection {#2082 …}
        -id: 220282
        -bodyTs: "'address':34 'amount':14 'behavior':26 'bit':48 'calcul':16 'case':11 'clear':52 'convent':19 'distribut':38 'first':3 'general':6 'inde':24 'intend':25 'mayb':41 'need':43 'part':4 'point':30 'properti':39 'regard':1,27 'rewrit':45 'second':29 'section':40 'sheer':13 'show':20 'tri':32 'true':7"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5675552"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702452208 {#2035
          date: 2023-12-13 08:23:28.0 +01:00
        }
        +"title": 220282
      }
      10 => App\Entity\EntryComment {#1604
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1596 …}
        +body: """
          ❤️ True, but I think one of the biggest problems is that it’s pretty long and because you can’t really sense how good/bad/convining the text is it’s always a gamble for everybody if it’s worth reading something for 30min just to find out that the content is garbage.\n
          \n
          I hope I did a decent job in explaining the issue(s) but I’m definitely not mad if someone decides that they are not going to read the post and still comment about it.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 5
        +score: 0
        +lastActive: DateTime @1702404677 {#1620
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@jdaxe@infosec.pub"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1619 …}
        +nested: Doctrine\ORM\PersistentCollection {#1701 …}
        +votes: Doctrine\ORM\PersistentCollection {#1687 …}
        +reports: Doctrine\ORM\PersistentCollection {#1689 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1691 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1795 …}
        -id: 218871
        -bodyTs: "'30min':42 'alway':30 'biggest':8 'comment':84 'content':49 'decent':57 'decid':72 'definit':67 'everybodi':34 'explain':60 'find':45 'gambl':32 'garbag':51 'go':77 'good/bad/convining':24 'hope':53 'issu':62 'job':58 'long':15 'm':66 'mad':69 'one':5 'post':81 'pretti':14 'problem':9 'read':39,79 'realli':21 'sens':22 'someon':71 'someth':40 'still':83 'text':26 'think':4 'true':1 'worth':38"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660702"
        +editedAt: null
        +createdAt: DateTimeImmutable @1702404677 {#1613
          date: 2023-12-12 19:11:17.0 +01:00
        }
        +"title": 218871
      }
      19 => App\Entity\EntryComment {#1606
        +user: App\Entity\User {#261 …}
        +entry: Proxies\__CG__\App\Entity\Entry {#1582 …2}
        +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
        +image: null
        +parent: Proxies\__CG__\App\Entity\EntryComment {#1654 …}
        +root: Proxies\__CG__\App\Entity\EntryComment {#1650 …}
        +body: """
          Same priority operations are solved from left to right. There is not a single credible calculator that would evaluate “6 / 2 * 3” to anything else but 9.\n
          \n
          But I challenge you to show me a calculator that says otherwise. In the blog are about 2 or 3 dozend calculators referenced by name all of them say the same thing. Instead of a calculator you can also name a single expert in the field who would say that 6 / 2 * 3 is anything but 9.
          """
        +lang: "en"
        +isAdult: false
        +favouriteCount: 0
        +score: 0
        +lastActive: DateTime @1702403586 {#1428
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +ip: null
        +tags: null
        +mentions: [
          "@wischi@programming.dev"
          "@dgmib@lemmy.world"
        ]
        +children: Doctrine\ORM\PersistentCollection {#1671 …}
        +nested: Doctrine\ORM\PersistentCollection {#1667 …}
        +votes: Doctrine\ORM\PersistentCollection {#1670 …}
        +reports: Doctrine\ORM\PersistentCollection {#1678 …}
        +favourites: Doctrine\ORM\PersistentCollection {#1551 …}
        +notifications: Doctrine\ORM\PersistentCollection {#1586 …}
        -id: 218823
        -bodyTs: "'2':21,45,79 '3':22,47,80 '6':20,78 '9':27,84 'also':66 'anyth':24,82 'blog':42 'calcul':16,36,49,63 'challeng':30 'credibl':15 'dozend':48 'els':25 'evalu':19 'expert':70 'field':73 'instead':60 'left':7 'name':52,67 'oper':3 'otherwis':39 'prioriti':2 'referenc':50 'right':9 'say':38,56,76 'show':33 'singl':14,69 'solv':5 'thing':59 'would':18,75"
        +ranking: 0
        +commentCount: 0
        +upVotes: 0
        +downVotes: 0
        +visibility: "visible             "
        +apId: "https://programming.dev/comment/5660232"
        +editedAt: DateTimeImmutable @1704111301 {#1440
          date: 2024-01-01 13:15:01.0 +01:00
        }
        +createdAt: DateTimeImmutable @1702403586 {#1434
          date: 2023-12-12 18:53:06.0 +01:00
        }
        +"title": 218823
      }
      0 => App\Entity\EntryComment {#2140}
    ]
    -id: 21759
    -titleTs: "'+2':4 '1':3 '2':2 '6':1"
    -bodyTs: "'/viral-math/](https://zeta.one/viral-math/)':3 '30min':37 'advanc':43 'ambigu':32 'bias':72 'blog':9 'convinc':27 'discuss':64 'especi':21 'feedback':20 'join':62 'long':8 'look':18 'm':70 'math':14 'past':67 'peopl':23 'post':10 'probabl':71 'problem':15,30 'read':38,51 'realli':46 'take':47 'thank':40 'think':55 'time':49 'viral':13 'worth':58 'wrote':5,75 'zeta.one':2 'zeta.one/viral-math/](https://zeta.one/viral-math/)':1"
    +cross: false
    +upVotes: 0
    +downVotes: 0
    +ranking: 1702449986
    +visibility: "visible             "
    +apId: "https://programming.dev/post/7145882"
    +editedAt: DateTimeImmutable @1703972491 {#2652
      date: 2023-12-30 22:41:31.0 +01:00
    }
    +createdAt: DateTimeImmutable @1702363586 {#2548
      date: 2023-12-12 07:46:26.0 +01:00
    }
    +__isInitialized__: true
     …2
  }
  +magazine: Proxies\__CG__\App\Entity\Magazine {#1574 …}
  +image: null
  +parent: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
  +root: Proxies\__CG__\App\Entity\EntryComment {#2130 …}
  +body: "In the blog post there are even more. Texas Instruments, HP and Canon also have calculators, and some of them show 9 and some 1."
  +lang: "en"
  +isAdult: false
  +favouriteCount: 8
  +score: 0
  +lastActive: DateTime @1702452984 {#2092
    date: 2023-12-13 08:36:24.0 +01:00
  }
  +ip: null
  +tags: null
  +mentions: [
    "@wischi@programming.dev"
    "@CallumWells@lemmy.ml"
  ]
  +children: Doctrine\ORM\PersistentCollection {#2133 …}
  +nested: Doctrine\ORM\PersistentCollection {#2131 …}
  +votes: Doctrine\ORM\PersistentCollection {#2138 …}
  +reports: Doctrine\ORM\PersistentCollection {#2345 …}
  +favourites: Doctrine\ORM\PersistentCollection {#2330 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2346 …}
  -id: 220297
  -bodyTs: "'1':25 '9':22 'also':14 'blog':3 'calcul':16 'canon':13 'even':7 'hp':11 'instrument':10 'post':4 'show':21 'texa':9"
  +ranking: 0
  +commentCount: 0
  +upVotes: 0
  +downVotes: 0
  +visibility: "visible             "
  +apId: "https://programming.dev/comment/5675726"
  +editedAt: DateTimeImmutable @1704259104 {#2094
    date: 2024-01-03 06:18:24.0 +01:00
  }
  +createdAt: DateTimeImmutable @1702452984 {#2241
    date: 2023-12-13 08:36:24.0 +01:00
  }
  +"title": 220297
}
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"
null
"App\Security\Voter\UserVoter"

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