Question: Polynomial Functions


1) I want to transform a polynomial in variables x_1, ... , x_n into function K^n -> K


given y[10] := x[10]+x[1]^2+x[2]*x[5]+x[3]*x[8]

i want to view y[10] as a function and evaluate it at point (x_1, ..., x_n)


2) Given m such polynomials y[i] I want to define a funktion K^n -> K^m by viewing every y[i] as a coordinate function


f:=(y[1],...,y[m]) every y[i] beeing a polynomial in x_1, ..., x_n

Then i want to evaluate f at (x_1, ..., x_n) like that: f(x_1,...,x_n):=(y[1](x_1,...,x_n),...,y[m](x_1,...,x_n))


Is there a way to do these things in maple? Thank you very much for your help!

Christian Brumm

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