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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