Re: graphing curves in the complex plane
- To: mathgroup at smc.vnet.net
- Subject: [mg75844] Re: graphing curves in the complex plane
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Fri, 11 May 2007 06:30:14 -0400 (EDT)
- Organization: Uni Leipzig
- References: <f21dvn$6c5$1@smc.vnet.net>
- Reply-to: kuska at informatik.uni-leipzig.de
Hi,
Assuming[Element[{x, y}, Reals],
With[{z = x + I*y},
eqn = FullSimplify /@ (Abs[z *Exp[1 - z]] == 1)
]
]
ContourPlot[Evaluate[Subtract @@ eqn],
{x, -1, 1}, {y, -1, 1}, Contours -> {0}
]
??
Regards
Jens
Stephanie S CavagnaroWong wrote:
> Hi,
>
> I am trying to graph Szego's curve, S = {z in C: |ze^(1-z)| = 1, |z| <=
> 1} in the complex plane, and I cannot figure out how to do this. I have
> tried many variations of the various Plot functions with no success.
> Any advice would be appreciated!
>
> I am relatively new to Mathematica, so I apologize if this is a simple
> question -- I have done much websearching, including in the MathGroup
> archives, and could not find an answer.
>
> Thank you very much,
> Stephanie Wong.
>