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From: Joe Riel <joer@san.rr.com>
Newsgroups: comp.soft-sys.math.maple
Subject: Re: Difficulty with simplifying an expression
Date: Thu, 22 Sep 2011 14:11:56 -0700
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rouben@shadow.(none) (Rouben Rostamian) writes:

> I have tried this in Maple versions 11 through 14.
> Maple refuses to do an obvious simplification.
> Here are the details.
>
> Consider the expression "u" produced by:
>
>     with(Statistics):
>     X:=RandomVariable(Normal(mu,sigma)); 
>     u := AbsoluteDeviation(X,t);
>
> The expression u consists of a sum of three terms and nops(u)
> correctly gives 3.  Two of the terms are of the form
> "exp(-A) * B * exp(A)" (for some A and B) which should simplify
> to B.  Doing "simplify(u)"  or "simplify(expand(u))" does not
> help.
>
> The only way I could simplify u was by taking it apart,
> simplifying each term, then putting it back together, as in:
>
>    v := expand(u);
>    simplify(op(1,v)) + simplify(op(2,v)) + simplify(op(3,v));
>
> Is there a reason why Maple refuses to simplify the original u?

I cannot answer that, but a simpler way to do what you want is
to use the map command:

map(simplify, v);

-- 
Joe Riel