## What’s your favorite equation, formula, identity or inequality? [closed]

Certain formulas I really enjoy looking at like the Euler-Maclaurin formula or the Leibniz integral rule. What's your favorite equation, formula, identity or inequality?

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Voting to close. People are at the repeating-other-people's-answers stage now. – Qiaochu Yuan Aug 21 2010 at 18:23
The question has been closed as no longer relevant. It had a long and healthy life, but the large number of answers has become unwieldy. If the question had been asked more recently, it would probably have been closed sooner as being "overly broad". I encourage people who are interested in following up issues raised in the question or the answers with further questions. Please be specific! – Pete L. Clark Aug 22 2010 at 9:02

## closed as no longer relevant by Robin Chapman, Akhil Mathew, Yemon Choi, Qiaochu Yuan, Pete L. ClarkAug 22 2010 at 9:00

I like Riemann-Roch the most!!!

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$e=lim_{n\to\infty}\sqrt[p_n]{\prod_{k=1}^np_n}$

as seen at Gaussianos

$(\prod_{k=1}^np_n=p_n$# which is the primorial of the nth prime number $p_n)$

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I'm surprised that nobody said

$e=mc^2$

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Perhaps because is a formula from physics. – Sunni Apr 25 2010 at 18:22
I love the "Einstein meets Pythagoras" version: $E=m(a^2+b^2)$ – Federico Poloni Aug 20 2010 at 20:46