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?
* Learn about ImplicitPlot?
* Other ways?