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Re: simplify Arg[E^(I x)]?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg125768] Re: simplify Arg[E^(I x)]?
  • From: Murray Eisenberg <murray at math.umass.edu>
  • Date: Sun, 1 Apr 2012 03:39:46 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com
  • References: <201203310842.DAA12986@smc.vnet.net>
  • Reply-to: murray at math.umass.edu

First, I presume you just made a typo in your message -- it should be 
FullSimplify, with an upper-case S, of course.

Second, one reason the expression doesn't simplify to x is that such a 
result would be wrong! For example:

   Arg[Exp[(2 Pi + Pi/2) I]]

has value Pi/2 rather than 2 Pi + Pi/2.

On 3/31/12 4:42 AM, Neal Becker wrote:
> Why doesn't this simplify?
>
> Fullsimplify[Arg[E^(I x)], x \[Element] Reals]
>
> I expect to get 'x'.
>
> Is there some way I can get this to simplify?
>

-- 
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



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