What do you mean by algebraic? There is is_polynomial or is_rational_function.

Aaron Meurer

On Tue, Jun 11, 2013 at 12:54 PM, Manoj Kumar
<manojkumarsivaraj...@gmail.com> 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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