FOURIER SERIES 程序包 符号

NInverseFourierCoefficient

gives a numerical approximation to the function, evaluated at t, whose Fourier exponential series representation has coefficients given by expr, where expr is a function of n.

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• To use , you first need to load the Fourier Series Package using Needs["FourierSeries`"].
• The numerical approximation to the Fourier exponential series representation used by is by default defined to be NSum[expr -2nt, {n, -∞, ∞}].
• Different choices for the definition of the Fourier exponential series representation can be specified using the option FourierParameters.
• With the setting FourierParameters->{a, b}, the Fourier exponential series representation used by is b NSum[expr -2 bnt, {n, -∞, ∞}].
• The parameter b in the setting FourierParameters->{a, b} must be numeric.
• In addition to the option FourierParameters, can also accept the options available to NSum. These options are passed directly to NSum.

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基本范例 (1)基本范例 (1)

Numerical approximation for a function with a given Fourier series:

 Out[2]=

Compare with the answer from symbolic evaluation:

 Out[3]=
 Out[4]=
 Out[5]=

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