Optional Computer Example

 

Example 48.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.5.1_gr_1.gif],  
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.5.1_gr_2.gif],  here  [Graphics:Images/ConformalMapDictionary.5.1_gr_3.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_4.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_5.gif]  and  [Graphics:Images/ConformalMapDictionary.5.1_gr_6.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_7.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_8.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.5.1_gr_9.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_10.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_11.gif].  Also  [Graphics:Images/ConformalMapDictionary.5.1_gr_12.gif].

 [Graphics:Images/ConformalMapDictionary.5.1_gr_13.gif]    [Graphics:Images/ConformalMapDictionary.5.1_gr_14.gif]

 

[Graphics:../Images/ConformalMapDictionary.5.1_gr_15.gif]    [Graphics:../Images/ConformalMapDictionary.5.1_gr_16.gif]

 

Details 48.

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