When is Exp[z]==Exp[w]??
- To: mathgroup at smc.vnet.net
- Subject: [mg113621] When is Exp[z]==Exp[w]??
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Fri, 5 Nov 2010 05:10:49 -0500 (EST)
- Organization: Mathematics & Statistics, Univ. of Mass./Amherst
- Reply-to: murray at math.umass.edu
Mathematica 7.0.1 gives (as InputForm of the result):
Reduce[Exp[z]==Exp[w],{z,w}]
Element[C[1], Integers] && E^z != 0 && w == (2*I)*Pi*C[1] + Log[E^z]
How can Mathematica be forced to simplify this to what is the fact,
namely, the following?
Element[C[1], Integers]&& w == (2*I)*Pi*C[1] + z
(At the very least, certainly the expression E^z != 0 is redundant.)
--
Murray Eisenberg murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower phone 413 549-1020 (H)
University of Massachusetts 413 545-2859 (W)
710 North Pleasant Street fax 413 545-1801
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