Dictionary.com

Fourier series

Save This Word!

noun Mathematics.
an infinite series that involves linear combinations of sines and cosines and approximates a given function on a specified domain.
QUIZ
TEST YOUR MERIT ON THESE NEW WORDS IN 2021
The Dictionary added new words and definition to our vast collection, and we want to see how well-versed you are in the formally recognized new lingo. Take the quiz!
Question 1 of 8
What does JEDI stand for?
Meet Grammar CoachWrite or paste your essay, email, or story into Grammar Coach and get grammar helpImprove Your Writing
Meet Grammar CoachImprove Your Writing
Write or paste your essay, email, or story into Grammar Coach and get grammar help

Origin of Fourier series

First recorded in 1875–80; see origin at Fourier analysis
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2021

How to use Fourier series in a sentence

British Dictionary definitions for Fourier series

Fourier series

noun
an infinite trigonometric series of the form 1/2 a 0 + a 1 cos x + b 1 sin x + a 2 cos 2 x + b 2 sin 2 x + …, where a 0, a 1, b 1, a 2, b 2 … 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

Scientific definitions for Fourier series

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 © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
FEEDBACK