Interesting, I didn’t know about strong implicit multiplication. So I would have said the result is 9. All along my studies in France, up to my physics courses at University, all my teachers used weak implicit multiplication. Could be it’s the norm in France, or they only use it in math studies at University.
I didn’t know until now that I unconsciously use strong implicit multiplication (meaning that I get the answer “1”). I believe it happens more or less as a consequence of starting inside the parentheses and then working my way out.
It is a funny little bit of notational ambiguity, so it is funny that people get riled up about it.
In a scientific context it’s actually very rare to run into that issue because divisions are mostly written as fractions which will completely mitigate the issue.
The strong implicit multiplication will only cause ambiguity after a division with inline notation. Once you use fractions the ambiguity vanishes.
In practice you also rarely see implicit multiplications between numbers but mostly between variables or variables and their coefficients.
Def not a math major (BS/PharmD), but your explanation was like seeing through a visual illusion for the first time! lol
I was always taught PEMDAS growing up, and that the MD and the AS was read left to right in an equation like above. But stating the division as a fraction completely changes my mind now about how this calculation works. I think what would happen in a calculation I use every day if the former was used.
Example: Cockcroft-Gault Equation (estimation of renal function)
(140-age)(kg) / 72(SCr) vs (140-age) X kg ➗72 X SCr
In the first eq (correct one) an 80yo patient who weighs 65kg and has an SCr ~ 1.5 = 36.11
In the latter it = 81.25 (waaay too high for an 80yo lol)
I haven’t used Facebook in years, but I still use Twitter because most lefties and furries I follow either haven’t moved to Bsky/Mastodon, or have moved but are inactive.
I still have an account on Bsky though, but I don’t use it that often.
I don’t mind y’all enjoying it sexually, we all have our stuff. But this one will inevitably get you sick unless you’re using barriers which we all know you aint
Edit: y’all nasty. there’s some stuff you can’t clean and I’m not taking about STDs
My advice is the opposite - you guys need to step up (well - down) and start eating more ass. Don't let the fear mongers take the fun out of sex and foreplay. Everything people do in that realm could possibly cause illness or might be dangerous - from STDs to causing ruptures in the skin - but that shouldn't prevent people from having a good time. If people are clean and healthy and showering regularly, there's no reason to fear anal stuff at all.
My years out of school has made me forget about how division notation is actually supposed to work and how genuinely useless the ÷ and / symbols are outside the most basic two-number problems. And it’s entirely me being dumb because I’ve already written problems as 6÷(2(1+2)) to account for it before. Me brain dun work right ;~;
It’s been tough switching from managing data and processes to managing people. But I make a LOT more money. It’s also nice not having to watch someone else make poor decisions all the time, but I guess now everyone else is now watching me make the poor decisions! 🤦♂️
Yeah… I feel like I contributed so much more before but managing people, but this is where the money is sadly. I went from supply chain/purchasing/logistics manager to operations manager. I used to be a one man team and single handedly saved maybe $200k this year so far, and took our aged inventory from about $1M to basically nothing, all of our KPIs are primo. This is a company that pulls $10M/yr in revenue… small company.
I got rewarded with spending half my time babysitting the warehouse team, getting reamed by my boss when they’re not getting through things fast enough, and fixing their mistakes and bandaiding bad processes. But I got a 30% raise so I guess it’s worth it? I could be doing so much more.
Great. More responsibility and being the scapegoat for everything bad coming from the ones under you.
I’d need 150% of my salary to start thinking about doing that.
It doesn’t necessarily matter that you make poor decisions. That’s all of us. At some point. It matters that you take ownership of it and don’t pawn it off on somebody else. And, that you make things right when necessary. Competence is important but integrity is way more important.
While I agree the problem as written is ambiguous and should be written with explicit operators, I have 1 argument to make. In pretty much every other field if we have a question the answer pretty much always ends up being something along the lines of “well the experts do this” or “this professor at this prestigious university says this”, or “the scientific community says”. The fact that this article even states that academic circles and “scientific” calculators use strong juxtaposition, while basic education and basic calculators use weak juxtaposition is interesting. Why do we treat math differently than pretty much every other field? Shouldn’t strong juxtaposition be the precedent and the norm then just how the scientific community sets precedents for literally every other field? We should start saying weak juxtaposition is wrong and just settle on one.
I tried to be careful to not suggest that scientist only use strong juxtaposition. They use both but are typically very careful to not write ambiguous stuff and practically never write implicit multiplications between numbers because they just simplify it.
At this point it’s probably to late to really fix it and the only viable option is to be aware why and how this ambiguous and not write it that way.
As stated in the “even more ambiguous math notations” it’s far from the only ambiguous situation and it’s practically impossible (and not really necessary) to fix.
Scientist and engineers also know the issue and navigate around it. It’s really a non-issue for experts and the problem is only how and what the general population is taught.
I’ve always liked having personal chats in the servers section. The notifications were much more clear, as the chat would always pop up to the top, and navigating to them was significantly easier as every area for messaging was easily accessible through one motion.
The UI is generally better and separating personal chats isn’t a deal breaker for me, but the new app is buggy in ways that actively impede my daily use, such as search filters not working over the full server in the default search bar, and the structure for dms makes it much harder to go seemlessly between talking in a server and talking with a group of friends in a dm or sending a message to someone. Swiping out of DMs to servers has much more friction, and switching between DMs takes significantly longer and is incredibly glitchy, sometimes trapping text boxes in a different chat, opening the conversation well above where you were actually talking, and many times it simply will get trapped in one dm and I need to restart the app fully to use DMs normally again.
I generally use significantly more DMs than servers, talking with my friends in groups of 3 or individually and having one or two servers for large communities of people. As such, the significantly shittier DM experience on mobile is making me want to use discord significantly less on mobile.
I like knowing where things are. I couldn’t find dms after the update until some told me. I also keep trying to swipe left to see members but that has moved too. I feel like in general everything has become harder to find.
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