RE: displaying images in the complex plane
- To: mathgroup at smc.vnet.net
- Subject: [mg45885] RE: [mg45873] displaying images in the complex plane
- From: "Florian Jaccard" <florian.jaccard at eiaj.ch>
- Date: Thu, 29 Jan 2004 05:34:30 -0500 (EST)
- Reply-to: <florian.jaccard at eiaj.ch>
- Sender: owner-wri-mathgroup at wolfram.com
Hello Nathan, 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 : [mg45873] 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? Nathan Moore University of Minnesota Physics