V-optimal histograms: Difference between revisions

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In [[geometry]], '''Robbins' constant''', named after [[David P. Robbins]], is the average distance between two points selected at random within a [[unit cube]]. Robbins' constant can be expressed as <ref>D. Robbins, ''Average distance between two points in a box'', [[American Mathematical Monthly]], 85 (1978) p. 278</ref>
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:<math>
\frac{4+17\sqrt2-6\sqrt3-7\pi}{105} + \frac{\ln(1+\sqrt2)}{5} + \frac{2\ln(2+\sqrt3)}{5}.
</math>
 
Its numerical value is approximately <ref>[http://www.worldwideschool.org/library/books/sci/math/miscellaneousmathematicalconstants/chap80.html Miscellaneous Mathematical Constants by Simon Plouffe]</ref>
 
:<math>0.66170718226717623515583.</math>
 
==References==
<references/>
 
[[Category:Geometry]]
 
{{geometry-stub}}

Latest revision as of 21:02, 20 February 2014

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