Optional Computer Example

 

Example 50.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.5.1_gr_34.gif].  
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.5.1_gr_35.gif],  here  [Graphics:Images/ConformalMapDictionary.5.1_gr_36.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_37.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_38.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_39.gif]  and  [Graphics:Images/ConformalMapDictionary.5.1_gr_40.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_41.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_42.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_43.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.5.1_gr_44.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_45.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_46.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_47.gif].  

 

 [Graphics:Images/ConformalMapDictionary.5.1_gr_48.gif]    [Graphics:Images/ConformalMapDictionary.5.1_gr_49.gif]

 

[Graphics:../Images/ConformalMapDictionary.5.1_gr_50.gif]    [Graphics:../Images/ConformalMapDictionary.5.1_gr_51.gif]

 

Details 50.

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