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单词 Fourier analysis
释义 Fourier analysis
The representation of a function f(x), which is periodic in x, as an infinite series of sine and cosine functions,

A series of this type is called a Fourier series. If the function is periodic with a period 2π, the coefficients a0, an, bn are:
a0 = ∫π f(x)dx, an = ∫πf(x) cosnxdx, (n = 1,2,3,…), bn = 1/π ∫π f(x) sinxdx, (n = 1,2,3,…).
Fourier analysis and Fourier series are named after the French mathematician and engineer Joseph Fourier (1768–1830). Fourier series have many important applications in mathematics, science, and engineering, having been invented by Fourier in the first quarter of the 19th century in his analysis of the problem of heat conduction
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更新时间:2025/6/23 0:48:12