On 05/11/2010 03:20 PM, Mike Hansen wrote:
On Tue, May 11, 2010 at 12:48 PM, Jason Grout
<jason-s...@creativetrax.com> wrote:
f(x)=x^2 (SR --> SR)
f(x,y,z)=x*y (SR^3 --> SR)
f(x,y,z)=[x*y,y+z] (SR^3 --> SR^2)
using the category framework?
What would you want to do once you have those maps?
Good question. First, of course, call them, differentiate them, etc.
A special case would be linear maps, and functions might include the
things up at http://trac.sagemath.org/sage_trac/ticket/2549. As was
just mentioned on sage-devel, you might also ask for various other
matrix properties that really are determined by the transformation.
Another nice thing you could do is compose them with a function that
takes things to RR^3, for example, so you can get a function which takes
in a vector and gives back a transformed vector in RR^3.
Thanks,
Jason
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