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? 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?

Ondrej

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