Optional Computer Example

 

Example 57.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.5.2_gr_1.gif].  
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.5.2_gr_2.gif], here  [Graphics:Images/ConformalMapDictionary.5.2_gr_3.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_4.gif],  [Graphics:Images/ConformalMapDictionary.5.2_gr_5.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_6.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.5.2_gr_7.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_8.gif]  (if we include [Graphics:Images/ConformalMapDictionary.5.2_gr_9.gif] then [Graphics:Images/ConformalMapDictionary.5.2_gr_10.gif]).

[Graphics:Images/ConformalMapDictionary.5.2_gr_11.gif]    [Graphics:Images/ConformalMapDictionary.5.2_gr_12.gif]

 

[Graphics:../Images/ConformalMapDictionary.5.2_gr_13.gif]    [Graphics:../Images/ConformalMapDictionary.5.2_gr_14.gif]

 

 Details 57.

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