Wikipedia
In mathematics, a Fourier series is a way to represent a (wave-like) function as the sum of simple sine waves. More formally, it decomposes any periodic function or periodic signal into the sum of a (possibly infinite) set of simple oscillating functions, namely sines and cosines (or, equivalently, complex exponentials). The discrete-time Fourier transform is a periodic function, often defined in terms of a Fourier series. The Z-transform, another example of application, reduces to a Fourier series for the important case |z|=1. Fourier series are also central to the original proof of the Nyquist–Shannon sampling theorem. The study of Fourier series is a branch of Fourier analysis.
Usage examples of "fourier series".
Any regular periodic function can be represented to arbitrary accuracy by a Fourier series in Muslim as well as in Hindu mathematics.
It had Fourier series, Bessel functions, determinants, elliptic functions -- all kinds of wonderful stuff that I didn't know anything about.
There is even a fisherman almost where he should be, his pose less dramatic than the original, his garments more modern, above the infinite Fourier series of waves advancing upon the shore.
I will have all machines capable of handling Fourier series and up cleared for your use.
Tomorrow his school gyroball team was having practice, he wanted to work out a few more Fourier series-if you just told the computer to do it, you'd never learn what went on-and in the evening he'd take a certain girl to a dance.
Tomorrow his school gyroball team was having practice, he wanted to work out a few more Fourier series-if you just told the computer to do it, you’.