# Fourier series

- an infinite series that involves linear combinations of sines and cosines and approximates a given function on a specified domain.

## Origin of Fourier series^{}

First recorded in 1875–80; see origin at Fourier analysis

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# Fourier series

- an infinite trigonometric series of the form 1/2 a 0 + a 1 cos x + b 1 sin x + a 2 cos 2 x + b 2 sin 2 x + …, where a 0, a 1, b 1, a 2, b 2 … are the Fourier coefficients . It is used, esp in mathematics and physics, to represent or approximate any periodic function by assigning suitable values to the coefficients

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# Fourier series

- An infinite series whose terms are constants multiplied by sine and cosine functions and that can, if uniformly convergent, approximate a wide variety of functions.

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