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*: owner-wri-mathgroup 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)