Re: [Axiom-mail] Help on polynomial coefficients

[Themos Tsikas]

P:=reduce(+,[C[i]*x^i for i in 0..10])


On Thursday 04 September 2008, Rodrigo Canaan wrote:
> I am making a program to find a polynomial P(x,y) that is the solution to a
> given system. The degree of P is given. I need one variable to represent
> each coefficient P, so I can find all coefficients, determining the
> polinomial.
> Problem is, I don't know how to assign one variable to each coefficient, as
> I don't know in advance the degree of P, thus don't even know in advance
> how many coefficients I am going to use
>
> What I wish I could do is, given the degree P, build P as a sum of terms
> where each coefficient is a variable.
> If my degree was 1, for example, I want to build P as
> P:=A*x+B*y+C
> If my degree was 2, I would have:
> P:=A*x^2 + B*y^2 +C*x*y +D*x +E*y +F
> I have no idea how to do it for a general degree, on axiom
>
> Thanks for the help!



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