Optional Computer Example

 

Example 51.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.5.1_gr_52.gif].  
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.5.1_gr_53.gif],  here  [Graphics:Images/ConformalMapDictionary.5.1_gr_54.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_55.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_56.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_57.gif]  and  [Graphics:Images/ConformalMapDictionary.5.1_gr_58.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_59.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_60.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_61.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.5.1_gr_62.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_63.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_64.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_65.gif].  

 [Graphics:Images/ConformalMapDictionary.5.1_gr_66.gif]    [Graphics:Images/ConformalMapDictionary.5.1_gr_67.gif]

[Graphics:../Images/ConformalMapDictionary.5.1_gr_68.gif]    [Graphics:../Images/ConformalMapDictionary.5.1_gr_69.gif]

 

                [Graphics:../Images/ConformalMapDictionary.5.1_gr_70.gif]

 

Details 51.

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