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Tags: Euler

1

Posted: 2013-07-07
Euler's identity
Euler's identity
$$e^{i \pi}+1=0$$

This is one of the most famous equations in all of mathematics. Its especially nice since it involves a large number of different central objects such as 0, 1, i, $pi$, $e$. The identity can be proved using that any given exponential $e^{ix}$ can be written as $e^{ix}=cos x + i sin x$ for some real number x.