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Re: Complex plotting

• To: mathgroup at smc.vnet.net
• Subject: [mg52301] Re: [mg52270] Complex plotting
• From: "David Park" <djmp at earthlink.net>
• Date: Sun, 21 Nov 2004 07:23:43 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Diana,

I tried to reply to you privately by sending some gif images of the function
made with my Cardano2 package from my web site.

But the first time I forgot to remove from your email address and the second
time I either removed too much or not enough so that didn't go either.

So if you want the images send me your actual email address and I'll send
them to you.

I was able to make a number of nice plots of the function including a vector
plot animation and I will send the notebook to anyone who wants to see them
and who has the Cardano2 package.

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/

From: Diana [mailto:diana53xiii at earthlink.remove13.net]
To: mathgroup at smc.vnet.net

Mathematica folks,

I am trying to plot the function:

E^(3 z)/(1 + E^z) where z ranges from z = R (>0) to z = R + 2 Pi I.

When z = R, the value of the function is E^(3 R)/(1 + E^R)

When z = R + Pi I, the value of the function is E^(3 R)/(-1 + E^R)

When z = R + 2 Pi I, the value of the function is E^(3 R)/(1 + E^R) again.

I am trying to show with a plot that the magnitude of the function achieves
its maximum at z = R + Pi I.

I have tried using ComplexMap, but perhaps don't know how to fully utilize
it.

Help would be appreciated.

Diana

--
=====================================================
"God made the integers, all else is the work of man."
L. Kronecker, Jahresber. DMV 2, S. 19.