File:Probability that 0 ≤ m ≤ 200 random letters contain the entire alphabet.svg
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Size of this PNG preview of this SVG file: 600 × 600 pixels. Other resolutions: 240 × 240 pixels | 480 × 480 pixels | 768 × 768 pixels | 1,024 × 1,024 pixels | 2,048 × 2,048 pixels | 720 × 720 pixels.
Original file (SVG file, nominally 720 × 720 pixels, file size: 109 KB)
Summary
| Description |
English: A plot of for n = 26 and 0 ≤ m ≤ 200, i.e. the probability than m uniformly distributed random letters will contain the entire 26-letter alphabet. |
| Date | |
| Source | Own work by uploader: computed with a Perl script given here, plotted with GNU Plotutils, tweaked in Inkscape. |
| Author | Ilmari Karonen |
| SVG development |
Licensing
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I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:52, 2 May 2009 | | 720 × 720 (109 KB) | wikimediacommons>Ilmari Karonen | {{Information |Description={{en|1=A plot of <math>P(m,n) = \sum_{k=0}^{n} (-1)^k {n \choose k} \left( \frac{n-k}{n} \right)^m</math> for ''n'' = 26 and 0 ≤ ''m'' ≤ 200, i.e. the probability than ''m'' uniformly distributed random letters will contain |
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