THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.

DOCUMENTATION CENTER SEARCH

FOURIER SERIES PACKAGE SYMBOL

NFourierSinCoefficient

gives a numerical approximation to the n

coefficient in the Fourier sine series expansion of expr, where expr is a periodic function of t with period

The numerical approximation to the n coefficient in the Fourier sine series expansion of expr is by default defined to be NIntegrate[expr Sin[n t], {t, 0, }], where n must be an integer.

Different choices for the definition of the Fourier sine series expansion can be specified using the option FourierParameters.

With the setting FourierParameters, expr is assumed to have a period of , and the n coefficient computed by is NIntegrate[expr Sin[b n t], {t, 0, }].

In addition to the option FourierParameters, can also accept the options available to NIntegrate. These options are passed directly to NIntegrate.

Use different definitions for calculating numerical approximation for a Fourier sine coefficient:

Compare with the answer from symbolic evaluation:

Needs["FourierSeries`"]

Use different definitions for calculating numerical approximation for a Fourier sine coefficient:

Out[2]=

Out[3]=

Compare with the answer from symbolic evaluation:

Out[4]=

Out[5]=

Out[6]=