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-   -   Elegant Mathematics (http://www.flashflashrevolution.com/vbz/showthread.php?t=78730)

ljw5021 09-22-2007 11:46 PM

Elegant Mathematics
 
Post your favorite mathematical proof or theorem.

Mine has to be Euler's.

g(x) is defined as e^ix

therefore g'(x) = ie^ix, and g''(x) = -e^ix

g''(x) = -g(x)
g''(x) + g(x) = 0

g1(x) = cosx
g2(x) = sinx

g(0) = A = 1
g'(0) = B = i

g(x) = e^ix = cosx + isinx

And for x=pi

g(pi) = e^(i*pi) + 1 = 0

The Taylor series proof and Calc proof are equally elegant.

Kilroy_x 09-23-2007 12:08 AM

Re: Elegant Mathematics
 
Heh, I'm varying degrees of ignorant and idiotic when it comes to math, so I'll just say

1. Q -> R (premise)
2. P -> Q (premise)
3. P -> R (1,2, ->I)

In other words, the classical syllogism. Yes, lame I know. I'll get back to you after I've actually studied math. at all.

perkeyone 09-23-2007 12:27 AM

Re: Elegant Mathematics
 
rofl
(vagina+penis)-penis=vagina+load

FRO 09-23-2007 12:29 AM

Re: Elegant Mathematics
 
Not funny.

beaner692 09-23-2007 12:31 AM

Re: Elegant Mathematics
 
M i s s i s s i p p i

perkeyone 09-23-2007 12:37 AM

Re: Elegant Mathematics
 
Quote:

Originally Posted by FRO (Post 1798352)
Not funny.

wow im gona cry now because your opinion matters to me

squeeze theorem
Let I be an interval containing the point a. Let f, g, and h be functions defined on I, except possibly at a itself. Suppose that for every x in I not equal to a, we have:

g(x) \leq f(x) \leq h(x)

and also suppose that:

\lim_{x \to a} g(x) = \lim_{x \to a} h(x) = L.

Then \lim_{x \to a} f(x) = L.

devonin 09-23-2007 12:48 AM

Re: Elegant Mathematics
 
Unfortunately, this is definately a Chit-Chat sort of topic, as are all "List your X" threads.

Relambrien 09-23-2007 01:09 AM

Re: Elegant Mathematics
 
I'm gonna have to go with the ultimate inequality:

i > u

(Thanks ThinkGeek)

Oh, and yeah, CC material.

smartdude1212 09-23-2007 03:55 AM

Re: Elegant Mathematics
 
a^2 + b^2 = c^2


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