Classic Fourier Series

[Tim Wessman]

(01-30-2015 06:07 PM)salvomic Wrote:  However, it would be likely to have such a function included in the CAS, if it's possible ;-)

XCAS has 3 commands for this. When we was going through the list of commands at some point in the past to remove things that we did not have time to fully test or made no sense on the handheld calculator I suspect this were missed unintentionally.

Those commands are fourier_an, fourier_bn, fourier_cn defined as:

Code:

Returns the n-th Fourier coefficient an=2/T*integrate(f(x)*cos(2*pi*n*x/T),a,a+T).

Returns the n-th Fourier coefficient bn=2/T*integrate(f(x)*sin(2*pi*n*x/T),a,a+T).

Returns the n-th Fourier coefficient cn=1/T*integrate(f(x)*exp(-2*i*pi*n*x/T),a,a+T).

I assume those will do what you are looking for?

To everyone else, *please* point out missing commands from xcas if you think there is something that should be in Prime that is missing. Note that each command that is added however introduces additional overhead in the form of testing, documentation and so forth. Simply "turning everything on" does not make sense because of time contraints, the large numbers of synonyms/intermingled french command names, things that do not have compatible/valid syntax on the HP side, or things that just can't be supported for one reason or another at the moment (like writing out a wav file... yes, the cas will do that with the "writewav" command...)