i wouldn’t be surprised if a big part of it is that the higher ups don’t know much about what good writing actually is, or they’re too focused on ratings and they don’t dare deviate from “what works”. it also wouldn’t surprise me if writers weren’t allowed to make “major” changes to scripts after seeing how the writing looks after scenes have been recorded, because it might be “too expensive to change”.
i like to make sequels every year or so. i’m currently on “liked songs 4”. it gives me the chaos of a liked songs playlist, but with the comfort that only recently liked songs will play. (i will never unlike a song)
Article about a recent revelation by the Youtube Channel Modern Vintage Gaming: The game “Alien Resurrection” by Argonaut contains a code which allows to run burned CD copies of Playstation 1 games.
i don’t really know, but an educated guess is that it has to do with how old the console is, and how micro optimized/hacky things had to be at the time. for example, morrowind would reboot your xbox during loading screens. there was probably quite a lot more control given to developers in the olden days, whereas now things are more sandboxed. but i would be happy to be corrected on anything i’ve said here.
for anyone curious, here’s a “constructive” explanation of why a^0^ = 1. i’ll also include a “constructive” explanation of why rational exponents are defined the way they are.
anyways, the equality a^0^ = 1 is a consequence of the relation
a^m+1^ = a^m^ • a.
to make things a bit simpler, let’s say a=2. then we want to make sense of the formula
2^m+1^ = 2^m^ • 2
this makes a bit more sense when written out in words: it’s saying that if we multiply 2 by itself m+1 times, that’s the same as first multiplying 2 by itself m times, then multiplying that by 2. for example: 2^3^ = 2^2^ • 2, since these are just two different ways of writing 2 • 2 • 2.
setting 2^0^ is then what we have to do for the formula to make sense when m = 0. this is because the formula becomes
2^0+1^ = 2^0^ • 2^1^.
because 2^0+1^ = 2 and 2^1^ = 2, we can divide both sides by 2 and get 1 = 2^0^.
fractional exponents are admittedly more complicated, but here’s a (more handwavey) explanation of them. they’re basically a result of the formula
(a^m^)^n^ = a^m•n^
which is true when m and n are whole numbers. it’s a bit more difficult to give a proper explanation as to why the above formula is true, but maybe an example would be more helpful anyways. if m=2 and n=3, it’s basically saying
(a^2^)^3^ = (a • a)^3^ = (a • a) • (a • a) • (a • a) = a^2•3^.
it’s worth noting that the general case (when m and n are any whole numbers) can be treated in the same way, it’s just that the notation becomes clunkier and less transparent.
anyways, we want to define fractional exponents so that the formula
(a^r^)^s^ = a^r^ • a^s^
is true when r and s are fractional numbers. we can start out by defining the “simple” fractional exponents of the form a^1/n^, where n is a whole number. since n/n = 1, we’re then forced to define a^1/n^ so that
a = a^1/n•n^ = (a^1/n^)^n^.
what does this mean? let’s consider n = 2. then we have to define a^1/2^ so that (a^1/2^)^2^ = a. this means that a^1/2^ is the square root of a. similarly, this means that a^1/n^ is the n-th root of a.
how do we use this to define arbitrary fractional exponents? we again do it with the formula in mind! we can then just define
a^m/n^ = (a^1/n^)^m^.
the expression a^1/n^ makes sense because we’ve already defined it, and the expression (a^1/n^)^m^ makes sense because we’ve already defined what it means to take exponents by whole numbers. in words, this means that a^m/n^ is the n-th square root of a, multiplied by itself m times.
i think this kind of explanation can be helpful because they show why exponents are defined in certain ways: we’re really just defining fractional exponents so that they behave the same way as whole number exponents. this makes it easier to remember the definitions, and it also makes it easier to work with them since you can in practice treat them in the “same way” you treat whole number exponents.
No doubt. Wanna fight me? (lemm.ee)
Living forever (lemmy.world)
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So that's it, huh? We're some kind of Suicide Squad? (startrek.website)
Peak organization (startrek.website)
Times have changed (startrek.website)
After 23 years, developer reveals he snuck a cheat code past Sony that turns a cult-classic horror game into a godsend for retro enthusiasts (www.gamesradar.com)
Article about a recent revelation by the Youtube Channel Modern Vintage Gaming: The game “Alien Resurrection” by Argonaut contains a code which allows to run burned CD copies of Playstation 1 games.
I knew it all along! (lemmy.world)
Gastronomical Masterpiece (lemmy.world)
I bet Rockstar is thinking twice about *checks notes* making a normal looking female character. (lemmy.world)
it takes the edge off (lemmy.world)
Not mocking cobol devs but yall are severely underpaid for keeping fintech alive (lemmy.world)
More Parmesan? - Existential Comics (existentialcomics.com)
Original: existentialcomics.com/comic/526
copium28 (discuss.tchncs.de)
link to article: nytimes.com/…/uae-cop28-documents-al-jaber.html...
Steam Linux Marketshare Surges To Nearly 2% In November (www.phoronix.com)
store.steampowered.com/hwsurvey/
Can you install thid 25 year old program? (lemmy.ml)
🌿👀🌿 (mander.xyz)
Boquila trifoliolata mimics leaves of an artificial plastic host plant...
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American Girl releases 1st doll with hearing loss (lemmy.world)
fishing for math (feddit.de)
Found via...
Text wrap (slrpnk.net)
How many do you need?! *sobs* (slrpnk.net)
A meme for math people (lemmy.world)
anyone? (feddit.de)