One could also use dummy symbols x0 and y0 with the implicit
assumption that f(x0, y0) != 0.  If you used this in solving an ODE,
would they end up canceling out at the end?

Aaron Meurer

On Thu, May 2, 2013 at 6:25 PM, Paanini Navilekar
<paanini.navile...@gmail.com> wrote:
> As part of a check to see if a function can be separated into a product of
> functions of its individual variables, I'm trying to implement an algorithm
> based on a theorem by Jose Angel Cid
> (http://webs.uvigo.es/angelcid/Archivos/Papers/IJMEST.pdf)
>
> I need to select a point of (x,y) such that f(x,y) != 0. How should I go
> about implementing this?
>
> Should I randomly keep trying values and checking if they evaluate to zero
> using expr.subs() or should I first evaluate the expression using solve(),
> and then choose points from RR that don't fall in the solution set of f?
>
> i.e. if f(x,y) = 0 for x,y = (1,2), then I would choose a random point from
> RR - (1,2)
>
> In my opinion, the second approach seems more logical.
>
> Thanking You,
>
> Paanini Navilekar
>
>
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