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MathGroup Archive 2007

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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?


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