Fourier series

Fourier series Word Origin noun Mathematics.

1. 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 British Dictionary definitions for fourier series Fourier series noun

1. 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

fourier series in Science Fourier series

1. 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.