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Fourier analysis

American  

noun

Physics, Mathematics.

  1. the expression of any periodic function as a sum of sine and cosine functions, as in an electromagnetic wave function.

  2. harmonic analysis.

Fourier analysis British  
/ ˈfʊərɪˌeɪ /

noun

  1. the analysis of a periodic function into its simple sinusoidal or harmonic components, whose sum forms a Fourier series

"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
Fourier analysis Scientific  

  1. The branch of mathematics concerned with the approximation of periodic functions by the Fourier series and with generalizations of such approximations to a wider class of functions.

Etymology

Origin of Fourier analysis

First recorded in 1925–30; named after J.B.J. Fourier

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.