Optional Computer Example

 

Example 56 A.  The conformal mapping
[Graphics:Images/ConformalMapDictionary.5.1_gr_131.gif].   
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.5.1_gr_132.gif],  here  [Graphics:Images/ConformalMapDictionary.5.1_gr_133.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_134.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_135.gif]  and  [Graphics:Images/ConformalMapDictionary.5.1_gr_136.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_137.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_138.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.5.1_gr_139.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_140.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_141.gif].

 [Graphics:Images/ConformalMapDictionary.5.1_gr_142.gif]    [Graphics:Images/ConformalMapDictionary.5.1_gr_143.gif]

 

[Graphics:../Images/ConformalMapDictionary.5.1_gr_144.gif]    [Graphics:../Images/ConformalMapDictionary.5.1_gr_145.gif]

Example 56B.  Here is a similar example.  The conformal mapping
[Graphics:../Images/ConformalMapDictionary.5.1_gr_146.gif] .

It can be constructed via the Schwarz-Christoffel integral  [Graphics:../Images/ConformalMapDictionary.5.1_gr_147.gif].  

 

[Graphics:../Images/ConformalMapDictionary.5.1_gr_148.gif]    [Graphics:../Images/ConformalMapDictionary.5.1_gr_149.gif]

 

[Graphics:../Images/ConformalMapDictionary.5.1_gr_150.gif]    [Graphics:../Images/ConformalMapDictionary.5.1_gr_151.gif]

 

Details 56.

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