On Mon, Dec 15, 2008 at 01:32:27AM +0100, Ondrej Certik wrote:
> 
> On Sun, Dec 14, 2008 at 11:44 PM, Friedrich Hagedorn <[email protected]> 
> wrote:
> >
> > On Sun, Dec 14, 2008 at 10:20:13PM +0100, Ondrej Certik wrote:
> > [...]
> >> Ideally the improvement should be that Functions should behave exactly
> >> like Symbols (with respect to differentiation and maybe other things),
> >> but they will also carry the dependencies on other variables -- so
> >> that sympy can also differentiate with respect to those variables
> >> correctly.
> >
> > It sounds nice, but what are the free variables in
> >
> >  term = x*y**2 + f(u, v)
> >
> > Is this term a function of
> >
> >  F1(x,y,f) = term
> >
> > or
> >
> >  F2(x,y,u,v) = term
> >
> > or
> >
> >  F3(x,y,f,u,v) = term
> >
> > ?
> 
> I think it doesn't matter, does it? 

Hm, it was just a question.

> What is important is to know how
> to differentiate, e.g. with respect to "u", or "f", or "x". Which we
> know. Or is here something that I am missing?

Yes, I think your are right.

  Friedrich

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