Dosiero:Complex numbers addition.png

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Complex_numbers_addition.png (16KB, MIME type: image/png)

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Contents

[edit] Summary

Made by myself with matlab.

[edit] Licensing

Public domain This image has been (or is hereby) released into the public domain by its author, Oleg Alexandrov at the English Wikipedia project. This applies worldwide.

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



[edit] Source code

function main ()

% set up the plotting window
thickness=2.5; fs=30; d=0.004;
red=[1, 0, 0]; green=[0, 1, 0]; blue=[0, 0, 1];
figure(1); clf; hold on; axis equal; axis off; 
i=sqrt(-1);

z1=0; z2=1+0.2*i; z3=0.4+1.2*i;
plot_seg(z1, z2, red, thickness); 
plot_seg(z2, z3, green, thickness);
plot_seg(z3, z1, blue, thickness);

pt (z1, fs, 5, d, '0'); 
pt (z2, fs, 7, d, 'A');
pt (z3, fs, 3, d, 'B');
pt (z2+z3, fs, 1, d, 'X');

t=z2;
z1=z2+z3; z2=z3; z3=t;
plot_seg(z1, z2, red, thickness);
plot_seg(z2, z3, green, thickness);
plot_seg(z3, z1, blue, thickness);

saveas(gcf, 'Complex_numbers_addition.eps', 'psc2')
% convert from eps to png with shell command 
% convert -antialias -density 400 -scale 20% Complex_numbers_addition.eps Complex_numbers_addition.png

function plot_seg(z1, z2, color, thickness);
  plot( [real(z1), real(z2)], [imag(z1), imag(z2)], 'color', color, 'linewidth', thickness );

function pt (z, fs, pos, d, tx)
 p=cos(pi/4)+sqrt(-1)*sin(pi/4);
 z = z + p^pos * d * fs; 
 shiftx=0.0003;
 shifty=0.002;
 x = real (z); y=imag(z); 
 H=text(x+shiftx*fs, y+shifty*fs, tx); set(H, 'fontsize', fs, 'HorizontalAlignment', 'c', 'VerticalAlignment', 'c')

date/time username edit summary
04:43, 24 October 2005 en:User:Oleg Alexandrov (source code)
03:44, 24 October 2005 en:User:Oleg Alexandrov (Made by myself with matlab.)

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