[Maxima-bugs] [ maxima-Bugs-900860 ] Simplifications involving abs

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Bugs item #900860, was opened at 2004-02-19 22:53
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Category: None
Group: None
Status: Open
Resolution: None
Priority: 5
Submitted By: Stavros Macrakis (macrakis)
Assigned to: Nobody/Anonymous (nobody)
Summary: Simplifications involving abs

Initial Comment:
abs(q)/q^2 and q^2/abs(q) currently don't simplify.  
These should simplify to 1/abs(q) and abs(q).  This is 
especially useful since things like sqrt(q^2) simplify to 
abs(q).

It would be even nicer if GCD understood this case, but I 
can understand that that would be harder, e.g.

    gcd(abs(q)+q^2,abs(q)) => 1+abs(q)

This seems practically justifiable; is there any theoretical 
reason it might not be justifiable?




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