Image:Bertrand1-scatterplot.jpeg
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Bertrand1-scatterplot.jpeg (18KB, MIME type: image/jpeg)
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)
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This image is licensed under the Creative Commons Attribution ShareAlike License v. 2.0: http://creativecommons.org/licenses/by-sa/2.0/ |
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- (del) (cur) 04:42, 21 August 2004 . . Wile E. Heresiarch (Talk | contribs) . . 288×288 (17,651 bytes) (Bertrand's paradox -- distribution of midpoints of chords chosen at random, solution 1)
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