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Archiu:Random walk in2D closeup.png

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Summary

Description
English: File:Random walk in 2D closeup
Date
Source Own work
Author Oleg Alexandrov
Other versions
File:random walk 2500.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.
File:Random walk in2D closeup.png → File:random walk 2500.svg
For more information, see Help:SVG.
In other languages
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 This diagram was created with MATLAB.

Licensing

Public domain This work has been released into the public domain by its author, Oleg Alexandrov. This applies worldwide.
In some countries this may not be legally possible; if so:
Oleg Alexandrov grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Source code (MATLAB)

Note. One may need to modify the step size, the number of steps, and rerun the code to get a picture similar to the above. 

 

function main()

   lw = 1;   % line width
   dx=0.05;  % step size
   L=1;      % window size
   N = 5000; % number of steps
   
   ii=sqrt(-1);
   
   AP =(1+ii)*ones(1, N);

   % do the random walk with N steps. Save the results in AP
   P=0;
   for i=1:N
      AP(i)=P;
      dP = (1+ii)*dx*(hrand+ii*hrand)/2;
      P = P+dP;
   end

   figure(2); clf; hold on; axis equal; axis off; 
   plot(real(AP), imag(AP),  'color', 'r', 'linewidth', lw);

   saveas(gcf, 'random_walk_in2D_closeup.eps', 'psc2')

  % chose randomly a number from the set {-1, 1}
function z=hrand

   z=0;
   while z==0
      z=rand(1)-0.5;
      z = sign(z);
   end

Captions

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depicts English

data size English

29,691 byte

height English

989 pixel

width English

842 pixel

media type English

image/png

checksum English

c7818d87be48fa2c2762dbe1fa07ca53f3bc6e0b

determination method or standard English: SHA-1

Historial de l'image

Puncha en la data/hora per a vore l'image tal i com es mostrava en eixe moment.

Data/HoraMiniaturaDimensionsUsuariDescripció
actual03:39 18 abr 2007Miniatura de la versió de 03:39 18 abr 2007842 × 989 (29 kB)wikimediacommons>Oleg AlexandrovMade by myself with MATLAB. {{PD-self}} ==Source code== '''Note.''' One may need to modify the step size, the number of steps, and rerun the code to get a picture similar to the above. <pre> <nowiki> function main() lw = 1; % line width dx=0.0

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