Optional Computer Example

 

Example 59.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.5.2_gr_29.gif].  
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.5.2_gr_30.gif],  here  [Graphics:Images/ConformalMapDictionary.5.2_gr_31.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_32.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_33.gif]  and  [Graphics:Images/ConformalMapDictionary.5.2_gr_34.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_35.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_36.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.5.2_gr_37.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_38.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_39.gif].

[Graphics:Images/ConformalMapDictionary.5.2_gr_40.gif]    [Graphics:Images/ConformalMapDictionary.5.2_gr_41.gif]

 

[Graphics:../Images/ConformalMapDictionary.5.2_gr_42.gif]    [Graphics:../Images/ConformalMapDictionary.5.2_gr_43.gif]

                    

                         [Graphics:../Images/ConformalMapDictionary.5.2_gr_44.gif]

 

 Details 59.

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