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MathGroup Archive 2005

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Re: Mathematica equivalent complexplot

  • To: mathgroup at smc.vnet.net
  • Subject: [mg57896] Re: Mathematica equivalent complexplot
  • From: Jean-Marc Gulliet <jeanmarc.gulliet at 9online.fr>
  • Date: Sun, 12 Jun 2005 04:34:18 -0400 (EDT)
  • Organization: New York University
  • References: <d892u9$sfa$1@smc.vnet.net>
  • Reply-to: jmg336 at nyu.edu
  • Sender: owner-wri-mathgroup at wolfram.com

raf . wrote:
> This is a newbie question, I suppose. I've read as much as I can but cannot
> find a straight forward way to implement the complexplot in
> Mathematica 5.
>  
> An example call could be complexplot(sin(x+i),x=-Pi..Pi) where sin(x+i)
> is a typical function f(x) that maps real to complex and -Pi..Pi is the
> domain of f, a..b.  Of course, there are various plot options which can
> follow and would be included before the closing paren but I think I can
> handle that.

Hi Ron,

What you are looking for is the _ComplexMap_ standard add-on. The 
following lines should help you to start with it (note we use pure 
function to code sin(x + i) as Sin[#1 + I]&):

In[1]:=
Needs["Graphics`ComplexMap`"]

In[2]:=
CartesianMap[Sin[#1 + I] & , {-Pi, Pi}, {-2, 2}];

In[3]:=
PolarMap[Sin[#1 + I] & , {-Pi, Pi}, {-2, 2}];

Also I would urge you to check David Park's _Cardano3_ package (and 
indeed the whole web site which is full of outstanding add-ons for 
Mathematica). Have a look at http://home.earthlink.net/~djmp/

Best regards,
/J.M.


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