fourier dizisi

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(Bilgisayar,Matematik) fourier series

A series proposed by the French mathematician Fourier about the year 1807 The series involves the sines and cosines of whole multiples of a varying angle and is usually written in the following form: y = Ho + A1 sin x + A2 sin 2x + A3 sin 3x + B1 cos x + B2 cos 2x + B3 cos 3x + By taking a sufficient number of terms the series may be made to represent any periodic function of x

The mathematical basis of harmonic analysis of tides and of tidal predictions, a series of sinusoids of different frequencies representing different tidal harmonic constituents First presented in 1807 by Fourier as a tool for representing any periodic function

An infinite series of the form Such series represent singly periodic meromorphic functions f(z), where f(z+1) = f(z) for all z There is an extensive theory developed around the properties of such series, having many uses in both theoretical and applied mathematics

The representation of a function f(x) in an interval (-L, L) by a series consisting of sines and cosines with a common period 2L, in the form, where the Fourier coefficients are defined as and

A method that defines a periodic or discontinuous function as a series of sine and cosine waves, and can be used to predict a value or the level of system response

the sum of a series of trigonometric expressions; used in the analysis of periodic functions

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