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Re: Re: Complex conjugate differentiation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg107225] Re: [mg107185] Re: [mg107163] Complex conjugate differentiation
  • From: Mark McClure <mcmcclur at unca.edu>
  • Date: Fri, 5 Feb 2010 07:48:36 -0500 (EST)
  • References: <201002041128.GAA29970@smc.vnet.net>

On Fri, Feb 5, 2010 at 3:20 AM, Daniel Lichtblau <danl at wolfram.com> wrote:
> Paperorbifold wrote:
>> In[1]:=D[z z*, z*]
>> Out[1]=z
>> where z*=Conjugate[z],
>
> Not sure if this is optimal, but I'd recommend using a different
> variable to denote Conjugate[z] (your z*), then substituting for it
> afterward.
> Example:
> In[10]:= D[z*w, z] /. w -> Conjugate[z]
> Out[10]= Conjugate[z]

But z->z* and z->z*z are nowhere differentiable complex functions.
Why should be expect anything sensical out of this computation?

Mark McClure


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