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harmonic analysis

noun, Mathematics
1.
the calculation of Fourier series and their generalization.
2.
the study of Fourier series and their generalization.
Also called Fourier analysis.
Origin
1865-1870
1865-70
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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British Dictionary definitions for harmonic analyses

harmonic analysis

noun
1.
the representation of a periodic function by means of the summation and integration of simple trigonometric functions
2.
the study of this means of representation
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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harmonic analyses in Science
harmonic analysis  
The study of functions given by a Fourier series or analogous representations, such as periodic functions and functions on topological groups.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Encyclopedia Article for harmonic analyses

harmonic analysis

mathematical procedure for describing and analyzing phenomena of a periodically recurrent nature. Many complex problems have been reduced to manageable terms by the technique of breaking complicated mathematical curves into sums of comparatively simple components.

Learn more about harmonic analysis with a free trial on Britannica.com
Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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