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Re: Strange behavior of Simplify


$Version

4.2 for Mac OS X (August 22, 2002)

expr = Exp[2*n^2*(Log[1 + t] - Log[1 - t])];

expr // ExpandAll // Simplify

(1 + t)^(2*n^2)/(1 - t)^(2*n^2)

FullSimplify[expr, ComplexityFunction -> Length]

(1 + t)^(2*n^2)/(1 - t)^(2*n^2)


Bob Hanlon

In article <b5jtgf$mah$1 at smc.vnet.net>, Selwyn Hollis <selwynh at earthlink.net>
wrote:

<< Subject:	Strange behavior of Simplify
From:		Selwyn Hollis <selwynh at earthlink.net>
To: mathgroup at smc.vnet.net
Date:		Sun, 23 Mar 2003 09:07:27 +0000 (UTC)

I've just run across the following strange behavior of Simplify.
(Using Mathematica 4.1.5, Mac OS X).

These first two commands work as expected:

        Simplify[Exp[2*n*(Log[1 + t] - Log[1 - t])]]

                       (1 - t)^(-2*n) (1 + t)^(2*n)

        Simplify[Exp[n^2*(Log[1 + t] - Log[1 - t])]]

                       (1 - t)^(-n^2) (1 + t)^(n^2)

But Simplify refuses to do anything with this:

        Simplify[Exp[2*n^2*(Log[1 + t] - Log[1 - t])]]

                      Exp[2*n^2*(Log[1 + t] - Log[1 - t])]

Can anyone shed some light here?  By the way, FullSimplify does the 
same thing. >><BR><BR>


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