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A Fourier series is an expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series, ... Trigonometric series · Gibbs phenomenon · Dirichlet–Jordan test · Series expansion
Jean-Baptiste Joseph Fourier was a French mathematician and physicist born in Auxerre and best known for initiating the investigation of Fourier series, ...
Фурье-анализ Фурье-анализ
Анализ Фурье — направление в анализе, изучающее каким образом общие математические функции могут быть представлены либо приближены через сумму более простых тригонометрических функций. Википедия
Joseph Fourier studied the mathematical theory of heat conduction. He established the partial differential equation governing heat diffusion and solved it by ...
A Fourier series is an expansion of a periodic function f(x) in terms of an infinite sum of sines and cosines.
16 нояб. 2022 г. · A Fourier series is, in some way a combination of the Fourier sine and Fourier cosine series. Also, like the Fourier sine/cosine series we'll not worry about ...
This section explains three Fourier series: sines, cosines, and exponentials eikx. Square waves (1 or 0 or −1) are great examples, with delta functions in ...
28 нояб. 2009 г. · Fourier transform: A general function that isn't necessarily periodic (but that is still reasonably well-behaved) can be written as a continuous ...
A Fourier series is a way of representing a periodic function as a (possibly infinite) sum of sine and cosine functions. It is analogous to a Taylor series, ...
Fourier series are critically important to the study of differential equations, and they have many applications throughout the sciences.
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