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Re: Strange behavior of Simplify

• To: mathgroup at smc.vnet.net
• Subject: [mg40187] Re: Strange behavior of Simplify
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Tue, 25 Mar 2003 14:47:30 -0500 (EST)
• Organization: Universitaet Leipzig
• References: <b5jtgf$mah$1@smc.vnet.net>
• Reply-to: kuska at informatik.uni-leipzig.de
• Sender: owner-wri-mathgroup at wolfram.com

Hi,

Simplify[Exp[2*n^2*(Log[1 + t] - Log[1 - t])], 
  ComplexityFunction -> Depth]

does it.

Regards
  Jens

Selwyn Hollis wrote:
> 
> 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.
> 
> -----
> Selwyn Hollis
> http://www.math.armstrong.edu/faculty/hollis