Jump to content

Robbins constant

From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by JocK (talk | contribs) at 18:37, 25 May 2007 (ref). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)

The average distance between two points selected at random within a unit cube is often referred to as Robbins constant. Robbins constant can be expressed as $(4+17{\sqrt {2}}-6{\sqrt {3}}-7\pi )/105+1/5\ln(1+{\sqrt {2}})+2/5\ln(2+{\sqrt {3}})$ .^[1] Its numerical value is approximately 0.66170718226717623515583.^[2]

References

^ D. Robbins, Average distance between two points in a box, Amer. Mathematical Monthly, 85.4 1978 p.278
^ Miscellaneous Mathematical Constants by Simon Plouffe

This redirect has not been added to any content categories. Please help out by adding categories to it so that it can be listed with similar redirects, in addition to a stub category.

This mathematics-related article is a stub. You can help Wikipedia by expanding it.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Robbins_constant&oldid=133470188"

Mathematics stubs

Hidden categories: