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FOURIER SERIES PACKAGE SYMBOL
NFourierTrigSeries
gives a numerical approximation to the order n Fourier trigonometric series expansion of expr, where expr is a periodic function of t with period 
.
Details
- To use
, you first need to load the Fourier Series Package using Needs["FourierSeries`"]. - The numerical approximation to the order n Fourier exponential series expansion of expr is by default defined to be
c0+
ckCos[k t]+dk Sin[k t]. - The coefficient
is defined to be 
NIntegrate[expr Cos[k t], {t, -
, }] and the coefficient 
is defined to be 
NIntegrate[expr Sin[k t], {t, -, }]. - Different choices for the period of expr can be specified using the option FourierParameters.
- With the setting FourierParameters->{a, b}, expr is assumed to have a period of
, and the order n Fourier exponential series expansion computed by 
is 
(
+
ck Cos[2 b k t]+dk Sin[2 b k t]). Here, the coefficient 
is defined to be 
NIntegrate[expr Cos[b k t], {t, -
, 
}] and the coefficient 
is defined to be 
NIntegrate[expr Sin[b k t], {t, -
, 
}]. - 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 NIntegrate. These options are passed directly to NIntegrate.
