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Fourier series |
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Fourier seriesIn mathematics, an infinite series used to solve special types of differential equations. It consists of an infinite sum of sines and cosines, and because it is periodic (i.e., its values repeat over fixed intervals), it is a useful tool in analyzing periodic functions. Though investigated by Leonhard Euler, among others, the idea was named for Joseph Fourier, who fully explored its consequences, including important applications in engineering, particularly in heat conduction. Fourier series [‚fu̇r·ē‚ā ‚sir·ēz] (mathematics) The Fourier series of a function ƒ(x) isAlso known as Fourier expansion. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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This was achieved by examining the Fourier coefficients of g(2[theta]) as the level was raised/lowered until distortions (i. The following has been derived for the strain cosine Fourier coefficient of the diffraction line profile broadened due to a restrictedly random distribution of dislocations [1,5]: |
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