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Euler's formula (오일러 공식), named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. (https://en.wikipedia.org/wiki/Euler%27s_formula)

$$ e^{ix} = \cos x + i\sin x, $$

$$ e^{i \pi} + 1 = 0 $$

e의 ai 제곱은 복소평면에서 a 라디안 만큼 회전한다. 원주율만큼 회전하면, -1이다.

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