Optional Computer Example

 

Example 58.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.5.2_gr_15.gif].  
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.5.2_gr_16.gif],  here  [Graphics:Images/ConformalMapDictionary.5.2_gr_17.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_18.gif],  [Graphics:Images/ConformalMapDictionary.5.2_gr_19.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_20.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.5.2_gr_21.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_22.gif]
(if we include [Graphics:Images/ConformalMapDictionary.5.2_gr_23.gif] then [Graphics:Images/ConformalMapDictionary.5.2_gr_24.gif]).

[Graphics:Images/ConformalMapDictionary.5.2_gr_25.gif]    [Graphics:Images/ConformalMapDictionary.5.2_gr_26.gif]

 

[Graphics:../Images/ConformalMapDictionary.5.2_gr_27.gif]    [Graphics:../Images/ConformalMapDictionary.5.2_gr_28.gif]

 

 Details 58.

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