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MathGroup Archive 1997

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Re: choosing a branch cut

  • To: mathgroup at smc.vnet.net
  • Subject: [mg6356] Re: choosing a branch cut
  • From: me at bc.edu
  • Date: Thu, 13 Mar 1997 01:20:11 -0500 (EST)
  • Organization: Boston College
  • Sender: owner-wri-mathgroup at wolfram.com

I think there is no simple solution, but it might help to use 
ArcTan[x,y]. Then you have only one branch cut along y=0 AND x<0.

Look at

Plot3D[ArcTan[x,y],{x,-2,2},{y,-2,2}];

versus

Plot3D[ArcTan[y/x],{x,-2,2},{y,-2,2}];

The latter has a cut along x=0.


Have fun with Multivalued functions!!


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