It should probably just order the variables alphabetically or by hash  
value from the start.  On the other hand, this is not always true (see 
http://en.wikipedia.org/wiki/Symmetry_of_second_derivatives) 
, namely, the function has to have continuous second partials.  Is  
there a way to tell SymPy to assume this?

Aaron Meurer
On May 2, 2009, at 8:19 AM, Alan Bromborsky wrote:

>
>
> The following does not simplify to zero in sympy:
>
> -D(F__x(x, y, z), z, y) - D(F__y(x, y, z), x, z) - D(F__z(x, y, z), y,
> x) + D(F__x(x, y, z), y, z) +
> D(F__y(x, y, z), z, x) + D(F__z(x, y, z), x, y)
>
>
> sympy does not know that D(F__x(x, y, z), z, y) = D(F__x(x, y, z),  
> y, z)
>
> >


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