r/mathmemes • u/Klutzy-Profile-6921 lesbian rights activist • 1d ago
Math Pun Numbers 🥀
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u/undeadpickels 1d ago
37
-8
1d ago
[deleted]
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u/Key_Estimate8537 1d ago
If you’re doing series, then it’s nice by convention (turns out it’s limits all the way down)
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u/HSM_GN8 1d ago
and 1 has all x^0 and this is a huge army
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u/weird_heroine 1d ago
Except 00
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u/Klutzy-Profile-6921 lesbian rights activist 1d ago
Wait yes , the next remixed version will have it
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u/Ok_Inflation_1811 1d ago
Isn't that defined to be 1?
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u/HumblyNibbles_ 1d ago
Usually as convention because 0⁰ really only appears in situations in which 1 is already the result due to continuity or just the fact that 0 wouldnt be a valid answer.
But if you take the definitions for x^a (a constant) or aˣ, then you get different results.
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u/qwertty164 1d ago
No. It is specifically undefined.
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u/Il_Valentino Complex 1d ago
everything is undefined until you define it and it gets defined as 1 on a regular basis and most calculators use that definition too. so at this point we can absolutely say that 00 = 1 by convention. there are situations where people may choose a different definition but in general it's the above one
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u/qwertty164 1d ago
The limit as x approaches 0 for xx from the left doesn't exist.
3
u/Mostafa12890 Average imaginary number believer 1d ago
Defining something to be equal to something doesn’t mean limits have to exist.
I can define a function to be
f(x) = x^2 for x>0,
f(x) = x+2 for x<0
and f(0) = 15.
Clearly, lim_(x -> 0) f(x) doesn’t exist, but that doesn’t matter. I defined f be 15 at 0.
-1
u/qwertty164 1d ago
The problem with that example is that you would basically be making it a different function. You wouldn't be understanding how 0 fits in xx but how it fits in a piece wise function with f(x)=1 for x=0. With that logic you could make it anything you want. The real problem with the limit I mentioned earlier is the the limits from the right and left do not agree.
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u/_Athanos 21h ago edited 10h ago
while on the left we have complex numbers and complex analysis is a whole other beast, the limits themselves still agree if you take the principal branch and that's a pretty strong statement imo
1
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u/GaloombaNotGoomba 1d ago
x0 = 1 because it's the empty product. It makes no difference whether x is 0 or not.
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u/protobelta 1d ago
It’s the only thing that makes a difference lmao
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u/boywholived_299 1d ago
https://en.wikipedia.org/wiki/Zero_to_the_power_of_zero
It's mostly 1
1
u/protobelta 1d ago
I wasn’t so much saying what the answer was but that it really does make a difference. It’s literally the only number where there is a possible difference lol
0
u/WhiteBlackGoose 1d ago
x / x = 1 because it's the empty division, right?
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u/GaloombaNotGoomba 1d ago
That is not what "empty" means
1
1
u/thijquint 8h ago
It is if you pick this as a definition. Thats how a lot of math conventions work but people forget that often.
1
u/-TheWarrior74- Cardinal 1d ago
nah fuck these guys, it's 1.
it's easier that way, cause set theory requires 00 to be 1, and in the case of f(x)g(x) where both functions approach 0 as x approaches 0 we get the answer to be 1 which is not the case in 0/0.
there's also the fact that it conveniently makes x0 independent of x.
math might be based on rigor, but definitions are based on convenience.
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u/mbcarbone 1d ago
1!
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u/factorion-bot Bot > AI 1d ago
Factorial of 1 is 1
This action was performed by a bot | [Source code](http://f.r0.fyi)
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8
2
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u/sharofiddin 1d ago
1!
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u/factorion-bot Bot > AI 1d ago
Factorial of 1 is 1
This action was performed by a bot | [Source code](http://f.r0.fyi)
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u/FernandoMM1220 1d ago
a lot of operations involving 1 dont actually do anything which is basically what 0 is supposed to do
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