What's the most beautiful mathematical thing you know of?

0*0 = 1/0^0/0

π=3.14159

2 * ф

Am i really that dumb? If you take nothing away from 1 how is it 0

then 0^0 = 1?

[eqn]e \times i \times pi + 1 = 0[/eqn]

c^2 = a^2 + b^2

Elegant, beautiful, everyone and their dog uses it

music.

>he doesn't know what exponents are

that this doesn't generalize to ANY higher exponents

Who are you quoting?

his identiy shouldn't multiply e with i
you're supposed to superscript i and pi for it to be true

I'm not being sarcastic:
youtube.com/watch?v=kxuU8jYkA1k

the idea of a numerically perfect symmetrical object is mesmerizing.

also

I find it depressingly beautiful that, no matter how much time I put into it, I won't ever be able to gain basic understanding of all math fields that exist.

Just learn category theory. Everything in math is applications of categories in one way or another.

Not pure math, but I think the 3D models of supernovae are an absolutely amazing achievement of computation and mathematics.

Chaos equations, or perhaps Zorn's lemma.
ps. fuck Euler's identity, after a while it starts feeling like a basic answer to questions like this.

it's one of the first mind blowing things you learn about in your freshman year, which is the standard level of education around here, hence it comes up a lot

-1/12

This fractal is madden after three minutes of digital image processing and is one of the most beautiful things able to do with mathematics

1+2+3+...
what was this called again?

1/0 = infinity
1/infinity = 0
do you not know how to take a limit?

Riemann zeta function

1 + 1 = window

gotta think outside the box, math is awesome

Right idea wrong explanation
Not to be bully but if you're a calc 1 or pre calc student, and you post about obscure math trivia it WILL show.

>Take the limit
Either the best counter meme on Veeky Forums today or actually new.

Finite quantum walks with absorbing boundaries

youtube.com/watch?v=-7NAVvBF4DY

.999=1

Anything not equal to zero is not equal to zero.

It's pretty fundamental but that's what makes it grand.

yo wtfff

1 + 2 + 3 +... = -1/12

no hat's 0.001 less than 1

"math"
dont take the bait

>muh math=foundations
>muh categories
you people are the worst

nah senpai that's the scan of the tumor in my testicle the doc took the other day

Hey now, even a calc 1 student should be able to properly represent that argument, they were just lazy/dumb.

Barnett's integrable spaces

1+2+3+4+5... = -1/12

He's joking, you fucking dumbass

Meh, you can only troll idiots with the Riemann zeta function because they know nothing about analytic continuation.

So to be honest

Simply stating

1+2+3+4+....= -1/12 is not correct until you put it into the right context.

I thought it was Ramunajan Summation.
Are they they same thing, or two different methods that yield the same result?