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

• To: mathgroup at smc.vnet.net
• Subject: [mg125756] Re: simplify Arg[E^(I x)]?
• From: Neal Becker <ndbecker2 at gmail.com>
• Date: Sun, 1 Apr 2012 03:35:06 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <201203310842.DAA12986@smc.vnet.net>

```So can I specify I just want the principle value?

On Sat, Mar 31, 2012 at 11:16 AM, Murray Eisenberg <murray at math.umass.edu>wrote:

> 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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