Fourier series

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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.

[After Baron Jean Baptiste Joseph Fourier.]
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Fourier series

n
(Mathematics) an infinite trigonometric series of the form a0 + 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
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Fou′rier se`ries


n.
an infinite series that approximates a given function on a specified domain by using linear combinations of sines and cosines.
[1875–80; see Fourier analysis]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.Fourier series - the sum of a series of trigonometric expressions; used in the analysis of periodic functions
series - (mathematics) the sum of a finite or infinite sequence of expressions
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References in periodicals archive ?
where I denotes the identity matrix and G represents the Green's function matrix per Fourier mode, as in Equation (1).
Baudrand, "New version of TWA using two-dimensional non-uniform fast Fourier mode transform (2D-NUFFMT) for full-wave investigation of microwave integrated circuits," Progress In Electromagnetics Research B, Vol.
According to these studies branching depends on undulating shapes "(described as static Fourier modes) at high curvatures and thus allows the development of regularly branched fibers with the spacing between the branches depending on the peaks of the longest wavelength Fourier mode.
This method can also be applied to the analysis in frequency domain if each normalized Fourier mode satisfies the same mono-variate distribution function.
Then construct a subset [OMEGA](K) of the phase space (the set of possible configurations of the Fourier modes) so that all points in [OMEGA](K) possess the desired decay properties.