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MathGroup Archive 2005

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Re: Mathematica equivalent complexplot

  • To: mathgroup at smc.vnet.net
  • Subject: [mg57846] Re: Mathematica equivalent complexplot
  • From: Murray Eisenberg <murray at math.umass.edu>
  • Date: Fri, 10 Jun 2005 02:29:10 -0400 (EDT)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • References: <200506090918.FAA28698@smc.vnet.net>
  • Reply-to: murray at math.umass.edu
  • Sender: owner-wri-mathgroup at wolfram.com

There are two well-known ways of graphically representing functions 
having complex inputs and complex outputs:  CartesianMap (or PolarMap) 
from Standard AddOn package Graphics`ComplexMap` that comes with 
Mathematica and various functions in David Park's excellent 3rd-party 
addon package Cardano3.

But your function is ostensibly a function taking REAL inputs (and 
complex ouputs), so it's not clear just what sort of graphical 
representation you even expect to be able to produce!

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.
>  
> So any help would be appreciated.  
>  
> Thanks much for the response.
>  
> Ron Francis
> 

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305


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