Optional Computer Example

 

Example 63.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.5.2_gr_89.gif].  
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.5.2_gr_90.gif],  here  [Graphics:Images/ConformalMapDictionary.5.2_gr_91.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_92.gif]  and  [Graphics:Images/ConformalMapDictionary.5.2_gr_93.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_94.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.5.2_gr_95.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_96.gif],  (if we include [Graphics:Images/ConformalMapDictionary.5.2_gr_97.gif] then [Graphics:Images/ConformalMapDictionary.5.2_gr_98.gif]).

[Graphics:Images/ConformalMapDictionary.5.2_gr_99.gif]    [Graphics:Images/ConformalMapDictionary.5.2_gr_100.gif]

 

[Graphics:../Images/ConformalMapDictionary.5.2_gr_101.gif]    [Graphics:../Images/ConformalMapDictionary.5.2_gr_102.gif]

 

 Details 63.

 
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(c) 2008 John H. Mathews, Russell W. Howell