Most amazing theorum you've ever seen

Colonel Sanders

The central limit theorum always struck me as amazing. I can remeber a few strange ones from pure maths in college but none well enough to actually quote :-)

Farouk.Bulsara

Colonel Sanders wrote:

The central limit theorum always struck me as amazing. I can remeber a few strange ones from pure maths in college but none well enough to actually quote :-)

I prefer the central limit theorEm myself

Son Goku

For the actual theorem itself, the proof that the transcendentals are more numerous than the rational numbers (or even algebraic numbers) or the proof that if two complex functions are equal on a loop they are equal within the loop.
For the way it's proved, the topological proof of the fundamental theorem of algebra.

Colonel Sanders

Farouk.Bulsara wrote:

I prefer the central limit theorEm myself

how witty

aequinoctium

is the main property of this "amazing theorem" that it ironically cannot be seen...

would someone like to state it clearly?

Son Goku

aequinoctium wrote:

is the main property of this "amazing theorem" that it ironically cannot be seen...

aequinoctium wrote:

would someone like to state it clearly?

It states that if you have a bunch of probabilistic variables that have a finite variance, then as you increase the number of variables the distribution will look more like the normal distribution.
It's the central result of probability and explains why the Normal distribtion is so common.

Wikipedia explains it quite well.

aequinoctium

super-duper...

thanks

dan719

Proof of euler idendity e^ipie=-1. I know it is basic but I find it beautiful. Especially with Gauss' comment on it.:D