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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
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