David Joyner wrote:
> Maybe this?
>
>
> sage: V = VectorSpace(SR, 2)
> sage: x,y = var('x,y')
> sage: f = V([x+y,x-x*y])
> sage: f(2,3)
> (5, -4)
>
Okay, that makes the most sense to me, at least how we have things set
up now. However, it's not quite natural yet. f is not a map there,
it's a vector. I can't query for the arguments of f, or for the
variables in f, I can't get a jacobian, etc. If n=1, I still can't
plot3d(f, (x,-2,2), (y,-2,2)) (however, if n=2, I can use
plot_vector_field). I can't ask for the domain or codomain of f, etc.
Some of these are trivial to see, but it shows that Sage doesn't think
of f as a function.
So I need to implement a .jacobian() method for SR^n, plus .arguments()
and .variables(). Or is this the right place for these things? I guess
that's why I'm asking these questions.
Jason
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