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Re: Arg[z] that works with zero argument?

• To: mathgroup at smc.vnet.net
• Subject: [mg50863] Re: [mg50860] Arg[z] that works with zero argument?
• From: "Maxim A. Dubinnyi" <maxim at nmr.ru>
• Date: Sat, 25 Sep 2004 01:55:01 -0400 (EDT)
• References: <200409240841.EAA21781@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

One possible solution is:

Unprotect[Arg];
Arg[z_] /; Chop[z] == 0 = 0;
Protect[Arg];

The result is:

(In[])  {Arg[0], Arg[0.], Arg[1.*^-15 + 1.*^-12I], Arg[{0., I}]}
(Out[]) {0, 0, 0, {0, Pi/2}}

AES/newspost wrote:

>I'd like a simple Arg[z] function that would "work" [return some simple 
>value; zero is OK] for zero argument values, even if z is a list.
>
>My simplest kludge so far is
>
>    myArg[z_] := Module[{eps=10^(-17)}, Arg[z+eps]]
>
>Seems to work OK so far -- better ways to do this?
>
>  
>

• References:
  • Arg[z] that works with zero argument?
    • From: AES/newspost <siegman@stanford.edu>