File:Maximum modulus principle.png

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Original file ‎(675 × 711 pixels, file size: 30 KB, MIME type: image/png)

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)

 

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');
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inception

10 August 2007

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Date/TimeThumbnailDimensionsUserComment
current02:59, 10 August 2007Thumbnail for version as of 02:59, 10 August 2007675 × 711 (30 KB)Oleg AlexandrovFix the bounding box
02:59, 10 August 2007Thumbnail for version as of 02:59, 10 August 2007655 × 698 (33 KB)Oleg Alexandrov{{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{{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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