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Fourier Series

Any periodic function of period T can be written as a weighted sum of sines and cosines at integer multiples of the fundamental frequency 1/T; the weights are found by integrating the function against each basis sinusoid, which works because the sinusoids are mutually orthogonal.

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Any periodic function of period T can be written as a weighted sum of sines and cosines at integer multiples of the fundamental frequency 1/T; the weights are found by integrating the function against each basis sinusoid, which works because the sinusoids are mutually orthogonal.

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