Mathematical Identities

Series

\displaystyle \sum_{n=0}^{N} x^n = \frac{1-x^{N+1}}{1-x}

Complex Exponentials

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

Binomial Theorem

\displaystyle (x+y)^n = \sum_{k=0}^n {n \choose k} x^{n-k} y^k

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