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File:Maximum modulus principle.png

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Description Illustration of en:Maximum modulus principle
Date (UTC)
Source self-made with MATLAB
Author Oleg Alexandrov
 
This diagram was created with MATLAB.
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Source code (MATLAB) edit 

 

function main()

   % the number of data points. More points means prettier picture.
   N = 50;

   RR=linspace(0, 1, N);
   TTheta = linspace(-pi, pi, N);

   [R, Theta] = meshgrid(RR, TTheta);

   I=sqrt(-1);
   Z = R.*exp(I*Theta);
   X = real(Z); Y = imag(Z);
   
   FZ = cos(Z);
   AFZ = abs(FZ);
   
   figure(1); clf; hold on; axis equal; axis off;

   surf(X, Y, AFZ, 'FaceColor',    'red', 'EdgeColor','none', 'FaceAlpha', 1);
   surf(X, Y, 0*AFZ, 'FaceColor', 'blue', 'EdgeColor','none', 'FaceAlpha', 0.5); 

% add in two sources of light
   camlight (50, 54); 
   camlight (50, -20);
   lighting phong;

% viewing angle
   view(149, 22);

% save as png
  print('-dpng', '-r200', 'Maximum_modulus_principle.png');
This math image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}.


It is recommended to name the SVG file “Maximum modulus principle.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

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Date/TimeThumbnailDimensionsUserComment
current02:59, 10 August 2007Thumbnail for version as of 02:59, 10 August 2007675 × 711 (30 KB)Oleg Alexandrov (talk | contribs)Fix the bounding box
02:59, 10 August 2007Thumbnail for version as of 02:59, 10 August 2007655 × 698 (33 KB)Oleg Alexandrov (talk | contribs){{Information |Description=Illustration of [:en:Maximum modulus principle]] |Source=self-made with MATLAB |Date=~~~~~ |Author= Oleg Alexandrov }} {{PD-self}} Category:Complex analysis
02:57, 10 August 2007Thumbnail for version as of 02:57, 10 August 2007655 × 698 (33 KB)Oleg Alexandrov (talk | contribs){{Information |Description=Illustration of [:en:Maximum modulus principle]] |Source=self-made with MATLAB |Date=~~~~~ |Author= Oleg Alexandrov }} {{PD-self}} Category:Complex analysis

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