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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. 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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Though non-symmetric loads can still use axial or cyclic symmetry through decomposition in Fourier series. The intensity distribution P(S) of a structurally broadened diffraction line profile can be expressed as a Fourier series (e. about their equivalence with the n-th order differential equations as well as its importance for obtaining orthonormal sets of functions being of special interest in the Fourier series. |
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