cool or wha?

Matthewthebig

The greatest maths thingy ever

i^i = e^(-π/2)

Waltons

Who toldshchou tha?

Matthewthebig

The drunk. Cillian.

|Referee|

Matthewthebig wrote:

The greatest maths thingy ever

i^i = e^(-π/2)

don't get it, don't watch arrested development

breadmonkey

Hey Mathew, who do you think you are, Denis Cusack?!

Matthewthebig

^^Who are you?

Its still cool anyway. All messed up

Steveire

Cusack the maths guy? why do you think the above is so cool?

breadmonkey

because a i^i (complex number to the power of a complex number) is a real number

kittenkiller

I'm still chuffed about Pythagoras' Thm!
He must've been so pleased with himself (for inspiring the guy who actually developed the thm)!

breadmonkey

kittenkiller wrote:

I'm still chuffed about Pythagoras' Thm!
He must've been so pleased with himself (for inspiring the guy who actually developed the thm)!

Why, is it not actually his?

Also, the word is theorem for God's sake! Not thm!

kittenkiller

Sorry, just too used to the shorthand from notes.

He didn't prove it, one of his students proved it (i think after he died) & it was named in his honour as far as i know.

Capt'n Midnight

I prefer this one


http://mathworld.wolfram.com/EulerFormula.html

an equation connecting the fundamental numbers i, pi, e, 1, and 0 (zero). Gauss is reported to have commented that if this formula was not immediately obvious, the reader would never be a first-class mathematician

(there is another variant that includes chi too)

breadmonkey

Gauss is reported to have commented that if this formula was not immediately obvious, the reader would never be a first-class mathematician

I'm fúcked so, though I did acually think of Euler's equation when I saw it.

Capt'n Midnight

maybe I should have said I preferred that arrangement


http://people.bath.ac.uk/ma3lrr/value.html - formulas for pi
look at them and realise they are all the same after infinite terms - werid or wha


and speaking of weridness

breadmonkey

DO these all come from Taylor's theorem or something?

louise771985

hi
i jsut found this and saw u guys are quoting things a about pi form a website i made! that has made me feel very cool!
also i didnt relasie i^i is real, y is that?

patzer117

just did a few calculations there and surely it's e^(-pi/2)? Ask your maths teacher to prove it, i couldn't be bothered with such a petty proof here...

CathalMc

i^i = (e^(i*pi/2))^i = e^(i*i*pi/2) = e^(-pi/2)

more generally: [a + bi]^i = [ r*e^(iO) ]^i = r^i * e^(-O)

so if r = 1 (ie: a + bi lies on the unit circle), [a + bi]^i is real.

silverside

i think e^(i*pi) + 1 = 0 is a cooler equation :P