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Re: Absolute Value of Complex Numbers

• To: mathgroup at smc.vnet.net
• Subject: [mg35205] Re: [mg35196] Absolute Value of Complex Numbers
• From: Daniel Lichtblau <danl at wolfram.com>
• Date: Tue, 2 Jul 2002 02:12:02 -0400 (EDT)
• References: <200207010734.DAA17391@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Kyle Davis wrote:
> 
> Abs[2 Exp[3 * i]]
> answer = 2
> 
> Abs[2 Exp[k * i]]
> answer = 2 Exp[-Im[k]]
> 
> Isn't the second answer supposed to be the same with the first one,
> regardless with the value of k? How do I make the second calculation give me
> the right answer?

In[6]:= ComplexExpand[Abs[2*Exp[k*I]], k] // InputForm
Out[6]//InputForm= 2/E^Im[k]

Daniel Lichtblau
Wolfram Research

• References:
  • Absolute Value of Complex Numbers
    • From: "Kyle Davis" <kyledavis@nowhere.com>