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. >