Re: [Axiom-mail] Help on polynomial coefficients

[root]

>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

I'm not sure I understand your question fully.
You can generate coefficients quite simply with:

a:=[subscript(A,[i]) for i in 1..5]

   [A  ,A  ,A  ,A  ,A  ]
     1   2   3   4   5

and you can construct polynomial with

f:=subscript(A,[0])
for i in 1..5 repeat f:=y**i*a.i
f
   
     5      4      3      2      
  A y  + A y  + A y  + A y  + A y + A
   5      4      3      2      1     0

Perhaps you could say more about the general pattern you want.

Tim