On Tuesday, June 11, 2013 7:54:12 PM UTC+2, Manoj Kumar wrote: > > I was working out the second heuristic of the Maple paper along with Sean, > and the PR can be found here --> https://github.com/sympy/sympy/pull/2156 > > Firstly, the thing is I need to extract factors (according to the Maple > Paper) > a} that are algebraic > b} and are either a function of y alone or x alone > > For example if h(x, y) = y**2*sin(x) , a guess for g(y) would be y**2 > > The problem is, the code that I've implemented extracts all factors. > Suppose h(x, y) = exp(y)*x**2 , then g(y) would give me exp(y) also. > > Is there are a really good way to determine if an expression is algebraic > or not, thinking of something on the lines of .is_Polynomial() . Is > implementing something like .is_Algebraic() the best way forward? > > Secondly, I don't really find the necessity of g(y) to be algebraic. > Because out of the ODE's that Sean gave me, one or two infinitesimals had > g(y) to be non-algebraic, and the infinitesimals seemed to satisfy the PDE. > Or maybe I am missing something. >
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