Units of MaxBend?

• To: mathgroup at smc.vnet.net
• Subject: [mg74984] Units of MaxBend?
• From: AES <siegman at stanford.edu>
• Date: Fri, 13 Apr 2007 02:09:04 -0400 (EDT)
• Organization: Stanford University

```What are units of MaxBend?  (Default value is 10; 10 *what*?)

Deeper problem:  Doing a parametric plot of a function in the complex
plane (horiz and vert axes are Re and Im parts of f):

ParametricPlot[{
{Re[f[1,u], Im[f[1,u]},
{Re[f[0,u], Im[f[0,u]},
{Re[f[-1,u], Im[f[-1,u]}}, {u,umin,umax}]

Problem is, f[p,u]  is a nice smooth function for  p=/=0, but for p = 0
f[0,u]  makes a right-angle turn at a certain singularity  u = uSing  (a
certain square root inside the function passes through zero at  u =
uSing) .  How to get a nice square corner there?

*  Use huge number of plot points?

*  Make fancier definition of  f[p,u] ?  (which is basically a nice
simple analytic expression)

*  Use ListPlot with PlotJoined->True, a point exactly at uSing, and
enough other points to make the other curves look smooth?