On Wed, Jul 9, 2008 at 4:19 PM, Bill Page <[EMAIL PROTECTED]> wrote:
> Yes,
> \begin{axiom}
> x:Polynomial Float
> p:=(x**2-1)/(x-1)
> eval(p,x=1)
> \end{axiom}
> is certainly legal and safe in the domain of polynomial
> where the result is required to be a polynomial although it
> seems that Axiom is being careful to give the result type
> as 'Fraction Polynomial Float' and not automatically
> 'Polynomial Float'.

And it is also true in that field (x^2 - 1)/(x-1) is the same as (x+1).
There is no if no but,

> Do you agree that it is not safe if all we know about 'x'
> is that it is a symbol which can be replaced with a Float?

Again, you have to be careful about the domain of interpretation.

-- Gaby

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