Image:Box Muller.svg

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Box_Muller.svg‎ (Fichier SVG, résolution de 292 × 687 pixels, taille : 19 Kio)

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[edit] Summary

Diagram of the Box Muller transform, which transforms uniformly distributed value pairs to normally distributed value pairs. The initial circles, uniformly spaced about the origin, are mapped to another set of circles about the origin that are closely spaced near the origin but quickly spread out. The largest circles in the domain map to the smallest circles in the range and the smallest to the largest.

Created by Derrick Coetzee in Mathematica and Adobe Illustrator using the following Mathematica code:

Export["box_muller_1.eps",
Show[Table[{Graphics[Hue[r/1.1 + 0.1]], Graphics[Circle[{0, 0}, r]]}, {r, 0.1,
       1, 0.1}], Axes -> Automatic, AspectRatio -> 1]];

Export["box_muller_2.eps",
Show[Table[{Graphics[Hue[r/1.1 + 0.1]], 
      Graphics[Circle[{0, 0}, Sqrt[-2.0 Log[r]/r]]]}, {r, 0.1, 1, 0.1}], 
  Axes -> Automatic, AspectRatio -> 1]];

[edit] Licensing

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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Historique du fichier

Cliquer sur une date et une heure pour voir le fichier tel qu’il était à ce moment-là

Date et heureDimensionsUtilisateurCommentaire
actuel26 mai 2006 à 20:54292×687 (19 Kio)Dcoetzee (White background)
26 mai 2006 à 18:47290×674 (19 Kio)Dcoetzee (Vertical alignment)
26 mai 2006 à 18:40690×288 (18 Kio)Dcoetzee (Diagram of the Box Muller transform, which transforms uniformly distributed value pairs to normally distributed value pairs. The initial circles, uniformly spaced about the origin, are mapped to another set of circles about the origin that are closely spa)

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