Image:Bertrand1-scatterplot.jpeg

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La bildo estas kopiita de wikipedia:en. La originala priskribo estas:

Bertrand's paradox -- distribution of midpoints of chords chosen at random, solution 1

This image is an original work by Robert Dodier (User:Wile E. Heresiarch).

Here are the commands (of the R programming language) by which this image was created.

n <- 10000

r1 <- runif (n) * 2 * pi
r2 <- runif (n) * 2 * pi

x1 <- cos (r1)
y1 <- sin (r1)

x2 <- cos (r2)
y2 <- sin (r2)

x <- (x1 + x2)/2
y <- (y1 + y2)/2

z <- sqrt(x^2+y^2)
sum(z<1/2)

plot (x, y, pch='.', col='red')
dev2bitmap (file='bertrand1-scatterplot.jpeg', type='jpeg',
 res=288, height=8, width=8)


GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation license, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation license".

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Creative Commons License
Creative Commons Attribution iconCreative Commons Share Alike icon		 This file is licensed under Creative Commons Attribution ShareAlike 2.0 License (cc-by-sa-2.0). In short: you are free to share and make derivative works of the file under the conditions that you appropriately attribute it, and that you distribute it under this or a similar cc-by-sa license.
date/time username edit summary
02:09, 7 July 2005 en:User:Wile E. Heresiarch (put spaces on empty lines (to join preformatted blocks))
02:08, 7 July 2005 en:User:Wile E. Heresiarch (+commands to create image)
00:34, 1 January 2005 en:User:Wile E. Heresiarch (+license tags)
22:28, 31 December 2004 en:User:RedWolf ({{unverified}})
04:42, 21 August 2004 en:User:Wile E. Heresiarch (Bertrand's paradox -- distribution of midpoints of chords chosen at random, solution 1)

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current17:18, 18 March 2006288×288 (17 KB)Maksim (La bildo estas kopiita de wikipedia:en. La originala priskribo estas: Bertrand's paradox -- distribution of midpoints of chords chosen at random, solution 1 This image is an original work by Robert Dodier (User:Wile E. Heresiarch). Here are the com)
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