Image:Maximum modulus principle.png

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Description

Illustration of en:Maximum modulus principle

Source

self-made with MATLAB

Date

02:57, 10 August 2007 (UTC)

Author

Oleg Alexandrov

Permission
(Reusing this image)

see below



Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.


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[edit] MATLAB source code



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');


File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeDimensionsUserComment
current02:59, 10 August 2007675×711 (30 KB)Oleg Alexandrov (Fix the bounding box)
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 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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