Re: displaying images in the complex plane
- To: mathgroup at smc.vnet.net
- Subject: [mg45931] Re: displaying images in the complex plane
- From: bobhanlon at aol.com (Bob Hanlon)
- Date: Fri, 30 Jan 2004 04:15:57 -0500 (EST)
- References: <bvans2$9ot$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Complex mapping is available in a standard add-on package
Needs["Graphics`ComplexMap`"];
CartesianMap[Tan, {-7Pi/16, 7Pi/16, Pi/16},
{-7Pi/16, 7Pi/16, Pi/16}, ImageSize->400];
Bob Hanlon
In article <bvans2$9ot$1 at smc.vnet.net>, "Florian Jaccard"
<florian.jaccard at eiaj.ch> wrote:
<< I have been explained the following way :
You grid the Gaussian space and look to what the points are transformed :
Clear[des, f];
des[f_, {xmin_, xmax_}, {ymin_, ymax_}] :=
Module[{gr, x, y, lv, lh},
gr = Table[{Re[f[x + I*y]], Im[f[x + I*y]]},
{x, xmin, xmax, (xmax - xmin)/20},
{y, ymin, ymax, (ymax - ymin)/20}];
lv = Line /@ gr; lh = Line /@ Transpose[gr];
Show[Graphics[{lv, lh}, AspectRatio ->
Automatic]]; ]
You can try it on your example :
des[Tan[#1] & , {-(Pi/2) + 0.1, Pi/2 - 0.1},
{-(Pi/2) + 0.1, Pi/2 - 0.1}]
Meilleures salutations
Florian Jaccard
University of Applied Sciences
EIAJ
Le Locle
Switzerland
-----Message d'origine-----
De : Nathan Moore [mailto:nmoore at physics.umn.edu]
Envoyé : mer., 28. janvier 2004 11:19
À : mathgroup at smc.vnet.net
Objet : displaying images in the complex plane
Does any body have a favorite way of showing images in the complex
plane? Suppose I want to represent the function Tan[z], where z = a +
bi, how would you display that image if you were trying to explain the
complex plane to your students?