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Definition of Fourier Series in English :

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Fourier Series

see synonyms of fourier series

Noun

1. fourier series

the sum of a series of trigonometric expressions; used in the analysis of periodic functions

WordNet Lexical Database for English. Princeton University. 2010.

Fourier Series

see synonyms of fourier series
noun
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. Copyright © HarperCollins Publishers

Fourier Series

see synonyms of fourier series
Ancient Mathematics
the expansion of a periodic function into a series of sines and cosines

Webster’s New World College Dictionary, 4th Edition. Copyright © 2010 by Houghton Mifflin Harcourt. All rights reserved.

Fourier Series

see synonyms of fourier series
n.
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 ® Dictionary of the English Language, Fifth Edition copyright ©2018 by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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