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MathGroup Archive 2004

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Re: Complex plotting

  • To: mathgroup at smc.vnet.net
  • Subject: [mg52285] Re: Complex plotting
  • From: "Steve Luttrell" <steve_usenet at _removemefirst_luttrell.org.uk>
  • Date: Sun, 21 Nov 2004 07:23:20 -0500 (EST)
  • References: <cnn11e$8qb$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

You could try doing a 1-dimensional plot like this:

With[{x=1},Plot[Abs[E^(3 (x+I y))/(1+E^(x+I y))],{y,0,2\[Pi]}]];

Steve Luttrell

"Diana" <diana53xiii at earthlink.remove13.net> wrote in message 
news:cnn11e$8qb$1 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.
> 



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