       Re: Complex plotting

• To: mathgroup at smc.vnet.net
• Subject: [mg52291] Re: Complex plotting
• From: Peter Pein <petsie at arcor.de>
• Date: Sun, 21 Nov 2004 07:23:27 -0500 (EST)
• References: <cnn11e\$8qb\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Diana wrote:
> 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
>

g[x_] := (Abs[#1^3/(1 + #1)] & )[E^x];

Block[{\$DisplayFunction = Identity},
p1 = Plot3D[g[R + I*t], {R, -(1/2), 1}, {t, 0, 2*Pi},
ViewPoint -> {-1.3, 1, 1}, Mesh -> False, PlotPoints -> 64,
Ticks -> {Automatic, Table[(k*Pi)/2, {k, 0, 4}], Automatic},
PlotRange -> {0, 12}];
p2 = ParametricPlot3D[{r, Pi, g[r + I*Pi]}, {r, -(1/2), 1}];
];

Show[p1, p2];

Should give a first impression where your function has its maximum magnitude.

--
Peter Pein
10245 Berlin

```

• Prev by Date: Re: Martin Map (a.k.a. hopalong).
• Next by Date: Re: Exporting to gif and jpeg is tooooo slow
• Previous by thread: Re: Complex plotting
• Next by thread: Re: Complex plotting