en>Tom.Reding: Gen fixes (page/s, endash, , et al., etc.) using AWB

2014-12-23T20:20:39Z

Gen fixes (page/s, endash, &nbsp, et al., etc.) using AWB

en>Monkbot: /* References */Fix CS1 deprecated date parameter errors

2014-01-15T02:46:14Z

References: Fix CS1 deprecated date parameter errors

← Older revision		Revision as of 04:46, 15 January 2014
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	~~I would like to introduce myself to~~ [~~http~~:~~//article-galaxy~~.~~com/profile~~.~~php?~~a~~=143251 email psychic readings~~] ~~you~~, ~~I am Andrew~~ and ~~my spouse doesn~~'~~t like it at~~ all. ~~What I love doing~~ is ~~football but I don~~'~~t have the time recently~~. For ~~many years she~~'s ~~been operating~~ as a ~~travel agent~~. ~~For years he~~'~~s been living~~ in ~~Alaska and he doesn~~'~~t plan on changing it~~.~~<br><br>Here is my page :: authentic~~ [http://~~srncomm~~.~~com~~/~~blog~~/~~2014~~/08/25/~~relieve~~-~~that-stress-find-a-new-hobby/ live psychic reading] psychic readings ([~~http://~~medialab~~.~~zendesk~~.~~com~~/~~entries~~/~~54181460-Will-You-Often-End-Up-Bored-Try-One-Of-These-Hobby-Ideas- http:~~//~~medialab~~.~~zendesk.com/~~])		[[File:Tverberg heptagon.svg\|thumb\|A Tverberg partition of the vertices of a regular [[heptagon]] into three subsets with intersecting convex hulls.]]
			In [[discrete geometry]], '''Tverberg's theorem''', first stated by {{harvs\|first=Helge\|last=Tverberg\|authorlink=Helge Tverberg\|year=1966\|txt}}, is the result that sufficiently many points in ''d''-dimensional [[Euclidean space]] can be [[partition of a set\|partitioned]] into [[subset]]s with intersecting [[convex hull]]s. Specifically, for any set of
			:<math>(d + 1)(r - 1) + 1\ </math>
			points there exists a point ''x'' (not necessarily one of the given points) and a partition of the given points into ''r'' subsets, such that ''x'' belongs to the convex hull of all of the subsets. The partition resulting from this theorem is known as a '''Tverberg partition'''.

			==Examples==
			For ''r'' = 2, Tverberg's theorem states that any ''d'' + 2 points may be partitioned into two subsets with intersecting convex hulls; this special case is known as [[Radon's theorem]]. In this case, for points in general position, there is a unique partition.

			The case ''r'' = 3 and ''d'' = 2 states that any seven points in the plane may be partitioned into three subsets with intersecting convex hulls. The illustration shows an example in which the seven points are the vertices of a regular [[heptagon]]. As the example shows, there may be many different Tverberg partitions of the same set of points; these seven points may be partitioned in seven different ways that differ by rotations of each other.

			==See also==
			*[[Rota's basis conjecture]]

			==References==
			*{{citation
			\| last = Tverberg \| first = H. \| author-link = Helge Tverberg
			\| journal = [[Journal of the London Mathematical Society]]
			\| pages = 123–128
			\| title = A generalization of Radon's theorem
			\| url = http://jlms.oxfordjournals.org/cgi/reprint/s1-41/1/123.pdf
			\| volume = 41
			\| year = 1966}}.
			*{{citation
			\| last = Hell \| first = S.
			\| publisher = Dissertation, TU Berlin
			\| title = Tverberg-type theorems and the Fractional Helly property
			\| url = http://opus.kobv.de/tuberlin/volltexte/2006/1416/
			\| year = 2006}}.

			[[Category:Theorems in convex geometry]]
			[[Category:Theorems in discrete geometry]]
			[[Category:Geometric transversal theory]]
			[[Category:Convex hulls]]

en>YFdyh-bot: r2.7.3) (Robot: Adding pt:Beta Cephei

2012-08-14T04:46:05Z

r2.7.3) (Robot: Adding pt:Beta Cephei

New page

I would like to introduce myself to [http://article-galaxy.com/profile.php?a=143251 email psychic readings] you, I am Andrew and my spouse doesn't like it at all. What I love doing is football but I don't have the time recently. For many years she's been operating as a travel agent. For years he's been living in Alaska and he doesn't plan on changing it.<br><br>Here is my page :: authentic [http://srncomm.com/blog/2014/08/25/relieve-that-stress-find-a-new-hobby/ live psychic reading] psychic readings ([http://medialab.zendesk.com/entries/54181460-Will-You-Often-End-Up-Bored-Try-One-Of-These-Hobby-Ideas- http://medialab.zendesk.com/])

Beta Cephei - Revision history

en>Tom.Reding: Gen fixes (page/s, endash, , et al., etc.) using AWB

en>Monkbot: /* References */Fix CS1 deprecated date parameter errors

en>YFdyh-bot: r2.7.3) (Robot: Adding pt:Beta Cephei