       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