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MathGroup Archive 2006

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Re: Plot Sequencies of Complex Functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg67057] Re: Plot Sequencies of Complex Functions
  • From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
  • Date: Thu, 8 Jun 2006 04:53:41 -0400 (EDT)
  • Organization: The Open University, Milton Keynes, UK
  • References: <e666hc$naf$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Eleanna Tsoumani wrote:
> Hi all,
>    
>   I am trying to graph sequencies of complex numbers (for instance, z^n), but I cannot come up with a working idea.
>   Does anyone have any suggestions?
>    
>   Many Thanks to all readers,
>   Eleanna
> 
> 		
> 
Hi Heleanna,

What about using the built-in functions Re and Im to extract the x and y 
coordinates and plotting the resulting points with ListPlot? For example,

In[1]:=
s = With[{z = 2 + I}, Table[z^n, {n, 7}]]

Out[1]=
{2 + I, 3 + 4 I, 2 + 11 I, -7 + 24 I, -38 + 41 I,

   -117 + 44 I, -278 - 29 I}

In[2]:=
ListPlot[Transpose[{Re[s], Im[s]}],
    PlotStyle -> PointSize[0.02], PlotRange -> All];

HTH,
Jean-Marc


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