OBSOLETE FOURIER SERIES 程序包 符号

# FourierSinCoefficient

As of Version 7.0, FourierSinCoefficient is part of the built-in Mathematica kernel.

gives the n coefficient in the Fourier sine series expansion of expr, where expr is a periodic function of t with period 1.

## 更多信息更多信息

• To use , you first need to load the Fourier Series Package using Needs["FourierSeries`"].
• The n coefficient in the Fourier sine series expansion of expr is by default defined to be 2Integrate[expr Sin[2 n t], {t, -, }].
• If n is numeric, it should be an explicit integer.
• Different choices for the definition of the Fourier sine series expansion can be specified using the option FourierParameters.
• With the setting FourierParameters->{a, b}, expr is assumed to have a period of , and the n coefficient computed by is  b Integrate[expr Sin[2 b n t], {t, -, }].
• In addition to the option FourierParameters, can also accept the options available to Integrate. These options are passed directly to Integrate.

## 范例范例打开所有单元关闭所有单元

### 基本范例 (1)基本范例 (1)

Use different definitions for calculating a coefficient in a Fourier sine series:

 Out[2]=
 Out[3]=

Compare with the answer from a numerical approximation:

 Out[4]=
 Out[5]=
 Out[6]=

## 教程教程

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