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Question: How to simplify this expression?

Question:How to simplify this expression?

Honigmelone 102 Maple
simplify substitution abs algsubs
March 03 2016
3

Hey,

is there a way to substitute funktion combinations when they have the same arguments? I want to substitute abs(exp)*abs(1,exp) with exp. Algsubs works as long as I know the excat expressions. However, I want to do this substitution for any exp. Simplify doen't work here ether.

I also tried to write my own simplification rule with no success:

> 

restart:
> 

f:=abs(a)*abs(1,a);
> 

 

abs(a)*abs(1, a)

 (1)
> 

siderel:={abs(x)*abs(1,x)=x};

{abs(x)*abs(1, x) = x}

 (2)
> 

simplify(f,siderel);    #expected result: a

abs(a)*abs(1, a)

 (3)
> 

 

> 

 

> 

 

 

Download simplify_abs.mw

 

Thanks in advance!
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