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FullSimplify with Pi

• To: mathgroup at smc.vnet.net
• Subject: [mg84129] FullSimplify with Pi
• From: Uberkermit <chris.r.sims at gmail.com>
• Date: Mon, 10 Dec 2007 22:20:47 -0500 (EST)

Greetings,

I would like to simplify an expression involving Pi. Actually,
simplifying the expression isn't hard, getting Mathematica to
recognize the simplification is the hard part. Consider:

Assuming[Element[x, Reals],
  FullSimplify[Log[1/Sqrt[2 Pi] Exp[x]]]]

Mathematica doesn't do anything to simplify this. However, replacing
the symbol Pi with any other variable in the above leads to the
trivial substitutions.

By trivial, I mean:
 Log[Exp[x]] = x, and Log[a/b] = Log[a] - Log[b].

Why does Pi confuse Mathematica so??

Thanks,
-Chris

• Follow-Ups:
  • Re: FullSimplify with Pi
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
  • Re: FullSimplify with Pi
    • From: Carl Woll <carlw@wolfram.com>