Re: recommendation for symbolic computation library?
- From: parisse@xxxxxxxxxxxxxx
- Date: Wed, 27 Jul 2005 10:42:54 +0200
Richard Fateman wrote:
A common way to do multivariate taylor series where the degree limit is the sum of the degrees in different variables (as opposed to the maximum degree in any single variable) is to replace x by x*t, y by y*t, z by z*t (etc), and then do a taylor series in t. It is possible to "weight" the result by using x*t, y*t^2, etc.
Right. Perhaps it's because I'm on vacation, I just
forgot I already implemented it in giac, and exactly that way:-)
From Xcas interface,
series(sin(x)*cos(y),[x,y],[0,0],5)
As a Giac library call
gen series(const gen & e,const gen & vars,const gen & lim_point,int ordre,int direction)
where e is the expression, vars the vector of variables and
lim_point the vector of limit points, ordre is the order,
use 0 as direction (1 or -1 are used for univariate one-sided
series expansions)
.
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