Re: Strange behavior of Simplify

• To: mathgroup at smc.vnet.net
• Subject: [mg40160] Re: Strange behavior of Simplify
• From: bobhanlon at aol.com (Bob Hanlon)
• Date: Mon, 24 Mar 2003 04:28:26 -0500 (EST)
• References: <b5jtgf\$mah\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```\$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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