Services & Resources / Wolfram Forums / MathGroup Archive
-----

MathGroup Archive 2010

[Date Index] [Thread Index] [Author Index]

Search the Archive

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
Amherst, MA 01003-9305


  • Prev by Date: Re: Graphics: How to get values corresponding to Automatic?
  • Next by Date: Re: Numerical solution of the heat equation on a disk with Dirichlet
  • Previous by thread: Re: Infix doesn't worj with precedence and grouping
  • Next by thread: Re: When is Exp[z]==Exp[w]??