Robbins constant

Robbins constant

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 [D. Robbins, "Average distance between two points in a box", American Mathematical Monthly, 85 (1978) p. 278]

:frac{4+17sqrt2-6sqrt3-7pi}{105} + frac{ln(1+sqrt2)}{5} + frac{2ln(2+sqrt3)}{5}.

Its numerical value is approximately [ [http://www.worldwideschool.org/library/books/sci/math/miscellaneousmathematicalconstants/chap80.html Miscellaneous Mathematical Constants by Simon Plouffe] ]

:0.66170718226717623515583.

References


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • List of mathematics articles (R) — NOTOC R R. A. Fisher Lectureship Rabdology Rabin automaton Rabin signature algorithm Rabinovich Fabrikant equations Rabinowitsch trick Racah polynomials Racah W coefficient Racetrack (game) Racks and quandles Radar chart Rademacher complexity… …   Wikipedia

  • performing arts — arts or skills that require public performance, as acting, singing, or dancing. [1945 50] * * * ▪ 2009 Introduction Music Classical.       The last vestiges of the Cold War seemed to thaw for a moment on Feb. 26, 2008, when the unfamiliar strains …   Universalium

  • human disease — Introduction       an impairment of the normal state of a human being that interrupts or modifies its vital functions. health versus disease       Before human disease can be discussed, the meanings of the terms health, physical fitness, illness …   Universalium

  • Finnegans Wake — infobox Book | name = Finnegans Wake title orig = translator = author = James Joyce cover artist = country = language = English series = genre = Sui generis publisher = Faber and Faber release date = 4 May 1939 media type = Print (Hardcover… …   Wikipedia

  • AuthorAID — is the name given to a growing number of web based activities that provide developmental editing assistance to scientists and researchers from developing countries who wish to prepare scientific articles for publication in peer reviewed journals …   Wikipedia

  • Nicolaus Copernicus — Copernicus redirects here. For other uses, see Copernicus (disambiguation). Nicolaus Copernicus …   Wikipedia

  • List of fiction works made into feature films — The title of the work is followed by the work s author, the title of the film, and the year of the film. If a film has an alternate title based on geographical distribution, the title listed will be that of the widest distribution area. Books 0… …   Wikipedia

  • Oscar/Technische Verdienste — Der Oscar für technische Verdienste (Academy Technical Achievement Award) ist eine seit 1931 vergebenene Auszeichnung der Academy of Motion Picture Arts and Sciences und würdigt herausragende Leistungen auf dem Gebiet der Verbesserung technischer …   Deutsch Wikipedia

  • Haydn, Joseph — ▪ Austrian composer Introduction in full  Franz Joseph Haydn   born March 31, 1732, Rohrau, Austria died May 31, 1809, Vienna  Austrian composer who was one of the most important figures in the development of the Classical style in music during… …   Universalium

  • Hayek, F.A. — ▪ British economist Introduction also called  Friedrich A. Hayek , in full  Friedrich August von Hayek  born May 8, 1899, Vienna, Austria died March 23, 1992, Freiburg, Germany       Austrian born British economist noted for his criticisms of the …   Universalium

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”