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Re: Strange behavior of Simplify
 To: mathgroup at smc.vnet.net
 Subject: [mg40166] Re: Strange behavior of Simplify
 From: "J.L.Garrido" <garrido at ruth.upc.es>
 Date: Tue, 25 Mar 2003 03:01:36 0500 (EST)
 References: <b5jtgf$mah$1@smc.vnet.net>
 Sender: ownerwrimathgroup at wolfram.com
En/Na Selwyn Hollis ha escrit:
> 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
expr1 = Exp[2*n*(Log[1 + t]  Log[1  t])];
Simplify[expr1 /. Log[a_]  Log[b_] > Log[a/b]]
((1 + t)/(1  t))^(2*n)
expr2 = Exp[2*n^2*(Log[1 + t]  Log[1  t])];
Simplify[expr2 /. Log[a_]  Log[b_] > Log[a/b]]
((1 + t)/(1  t))^(2*n^2)
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