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.