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Fourier series

noun, Mathematics.
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 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2017.
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British Dictionary definitions for Fourier series

Fourier series

an infinite trigonometric series of the form 1/2a0 + a1cos x + b1sin x + a2cos 2x + b2sin 2x + …, where a0, a1, b1, a2, b2 … 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
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Fourier series in Science
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.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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