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MathGroup Archive 2007

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Re: Mathematica V6. ComplexMap

  • To: mathgroup at smc.vnet.net
  • Subject: [mg76792] Re: [mg76686] Mathematica V6. ComplexMap
  • From: Murray Eisenberg <murray at math.umass.edu>
  • Date: Sun, 27 May 2007 05:02:58 -0400 (EDT)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • References: <200705260818.EAA18253@smc.vnet.net>
  • Reply-to: murray at math.umass.edu

Although Mathematica 6.0 gives a General::obspkg warning message when 
you load the old Graphics`ComplexMap` package, I don't see anything in 
it that's incompatible with 6.0.  The public names Lines, PolarMap, and 
CartesianMap do not clash with any built-in 6.0 names.  And at least on 
the examples I've tried, you get *almost the same results as when you 
used the package with earlier versions.

The "almost" qualifier owes to the fact that the plots now use 6.0's 
default coloring scheme for the successive curves.  To my eye it 
enhances things, helping one a bit to be able to trace which image curve 
comes from which curve in the domain, especially if you make a 
GraphicsRow with both the domain and codomain, e.g., like this:

   GraphicsRow[{PolarMap[ Identity, {0, 2, 1/2}, {-Pi, Pi, Pi/6}],
   PolarMap[ Sqrt, {0, 2, 1/2}, {-Pi, Pi, Pi/6}]}, ImageSize -> 72*8]

If you don't like the colors, roll your own or insert the option 
PlotStyle->Black inside each PolarMap or CartesianMap expression.

WetBlanket wrote:
> What happened to Graphics`ComplexMap` of Version 5.2?  It included the
> funcitons
> Cartesianmap, Liens and PolarMap.
> 
> I cannot find anything in V6.0 that can be used to convert programs
> using this feature. can anyone help me?
> 
> 

-- 
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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