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Fourier series
noun
, Mathematics.
- an infinite series that involves linear combinations of sines and cosines and approximates a given function on a specified domain.
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
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.
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Word History and Origins
Origin of Fourier series1
First recorded in 1875–80; Fourier analysis
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