Somebody please crop this meme to A4 paper’s aspect ratio
omg
Submitted 3 days ago by fossilesque@lemmy.dbzer0.com to science_memes@mander.xyz
https://lemmy.dbzer0.com/pictrs/image/a05d7985-402d-4727-9ee2-24c12778b1cd.webp
Comments
ChaoticNeutralCzech@feddit.org 3 days ago
ChaoticNeutralCzech@feddit.org 3 days ago
What if I told you that it works for any number 𝑥 you replace 2 with? (Except for 0 but still working for 𝐥𝐢𝐦 𝑥→0)
sp3tr4l@lemmy.zip 3 days ago
… where x is positive.
Otherwise it has an imaginary component and is complex.
SpaceNoodle@lemmy.world 3 days ago
Nope, it still works even then.
shalafi@lemmy.world 3 days ago
NOW I get it. Thanks.
user224@lemmy.sdf.org 3 days ago
Soulg@ani.social 2 days ago
Hard to draw when you’re so busy kissing boys
ignotum@lemmy.world 1 day ago
You like installing arch don’t you, you’re an arch installer aren’t you
NotProLemmy@lemmy.ml 14 hours ago
Also, i use fedora
bleistift2@sopuli.xyz 3 days ago
Observe the identities
a / b = a × b^(-1)
and
sqrt(a) = a ^ (1/2)
and derive
2 / sqrt(2) = 2 / 2^(1/2) = 2 × 2^(-1/2) = 2 ^ (1 + -1/2) = 2 ^ ( -1/2 ) = sqrt(2)
putitoutwithyourbootsted@piefed.social 3 days ago
Neat breakdown! Can you explain why this line =2^(1+ -1/2) =>2^(-1/2)
shouldn’t it be 2^(1/2) or am I missing something? Second guessing myself here lolbleistift2@sopuli.xyz 3 days ago
No, that’s a mistake. Incredible how many mistakes one can make in a simple derivation.
Thanks for pointing it out.
ThisIsAManWhoKnowsHowToGling@lemmy.dbzer0.com 3 days ago
Wtf is this
FundMECFSResearch@lemmy.blahaj.zone 3 days ago
x^2
—— = x
xA_Union_of_Kobolds@lemmy.world 3 days ago
Well the square root of x times itself gives you x
ThisIsAManWhoKnowsHowToGling@lemmy.dbzer0.com 3 days ago
I had to go through the five stages of grief to fully process your explanation. Thanks for explaining.
slothrop@lemmy.ca 3 days ago
Yes.
MarcomachtKuchen@feddit.org 3 days ago
It’s Really simple once you get it, but it allways blows my mind.
MBM@lemmings.world 2 days ago
1/sqrt(2) and 0.5 * sqrt(2) both being 0.707 always blows my mind even though it’s basic algebra
TootSweet@lemmy.world 3 days ago
This isn’t intuitive to people?
2/sqrt(2) = ( sqrt(2)*sqrt(2) ) / sqrt(2)
Then cancelling out one of the
sqrt(2)
s in numerator with thesqrt(2)
in the denominator, you’re left withsqrt(2)
.I do a lot of toodling around OpenSCAD, though, and
sqrt(2)
tends to come up a lot because, you know, Pythagoras and right triangles and all that.ftbd@feddit.org 2 days ago
Also pops up a lot in basic electrical engineering as the conversion factor between amplitude and RMS value of sine waves
expatriado@lemmy.world 3 days ago
i too remember when i was on 8th grade
MonkderVierte@lemmy.ml 2 days ago
c/mathmemes
ThatGuy46475@lemmy.world 3 days ago
x^2 —— = x x
drolex@sopuli.xyz 3 days ago
Proof?
JPAKx4@lemmy.blahaj.zone 3 days ago
If you’re saying two variables are equal, then x=x is valid. The only issue with this is it doesn’t indicate the restriction at x=0. This is a “hole” in the function since anything/0 is undefined. For all other cases the equation holds true.