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Re: [Axiom-math] How reads axiom Expressions ?


From: root
Subject: Re: [Axiom-math] How reads axiom Expressions ?
Date: Mon, 13 Oct 2003 14:01:17 -0400

François,

> How can I get (x+1)*(y+1)*(z+1) = x*y*z + x*y + x*z + y*z + x + y + z + 1 


->n:DMP([x,y,z],FRAC(INT)):=(x+1)*(y+1)*(z+1)

  x y z + x y + x z + x + y z + y + z + 1

    Type: DistributedMultivariatePolynomial([x,y,z],Fraction Integer)

Since "x" is the "highest" variable in the term ordering it is expanded first
as in 

  x (y z + y + z + 1) + y z + y + z + 1

and all of the other terms are "constant" with respect to x. In the result
you gave I can't find a term ordering with similar priority. Your term
ordering appears to be with respect to term length. There may be a 
metric within DMP that allows that ordering or you could write one.


Tim
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