Federal Bridge Gross Weight Formula - Revision history

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	~~In [[mathematics]]~~, ~~especially~~ the ~~field~~ of ~~[[group theory]]~~, the ~~'''Parker vector'''~~ is an ~~integer vector that describes~~ a [~~[permutation group~~]~~] in terms~~ of the ~~cycle structure~~ of ~~its elements~~.

	~~==Definition==~~
	~~The Parker vector ''P'' of~~ a ~~permutation group ''G'' acting on~~ a ~~set~~ of ~~size ''n''~~, ~~is the vector whose ''k''th component for ''k'' = 1~~, …, ~~''n''~~ is ~~given by:~~
	:<~~math~~>~~P_k = \frac{k}{\|G\|} \sum_{g \in G} c_k(g)~~<~~/math~~> ~~where ''c''~~<~~sub~~>~~''k''~~<~~/sub~~>~~(''g'')~~ is the ~~number~~ of ~~''k''-cycles~~ in the ~~cycle decomposition of ''g''~~.

	==~~Applications~~==
	~~The Parker vector can assist~~ in the ~~recognition of [[Galois group]]s~~.

	~~==References==~~
	*{{cite book \| title = Permutation Groups \| author = Peter J. ~~Cameron \| publisher = Cambridge University Press \| year = 1999 \| isbn = 0~~-~~521~~-~~65378-9 \| url =~~ http://~~books~~.~~google~~.com/~~books~~?id=~~4bNj8K1omGAC&pg=PA48&dq=%22Parker~~+~~Vector%22~~&lr=&~~as_brr~~=~~0&ei=JeKoR8iKHIvsiQHfjNWqCg&sig=v2x98oF0YEsxyNm8HXq0BHPDXPA }}~~
	*{{cite book \| title = Finite Geometries: Proceedings of the ~~Fourth Isle~~ of ~~Thorns Conference \| author = Aart Blokhuis \| publisher = Springer \| year = 2001 \| isbn = 0~~-~~7923~~-~~6994~~-~~7 \| url =~~ http://~~books~~.~~google~~.~~com~~/~~books?id=P8Ra5zHVzQUC&pg=PA59&dq=%22Parker+Vector%22&lr=&as_brr=0&ei=JeKoR8iKHIvsiQHfjNWqCg&sig=yjCRM55fuSmS84OZ~~-~~ugc9tT2kyo }}~~

	~~{{DEFAULTSORT:Parker Vector}}~~
	~~[[Category:Permutation groups~~]]


	~~{{algebra-stub}}~~

en>David Amble at 00:03, 25 June 2013

2013-06-25T00:03:30Z

← Older revision		Revision as of 02:03, 25 June 2013
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The gսidelines right here will helρ you far better your nutrition. Use these tips you've rеad through to makе greatеr nutritious options.		{{Expert-subject\|mathematics\|date=November 2008}}
			In [[mathematics]], especially the field of [[group theory]], the '''Parker vector''' is an integer vector that describes a [[permutation group]] in terms of the cycle structure of its elements.

			==Definition==
			The Parker vector ''P'' of a permutation group ''G'' acting on a set of size ''n'', is the vector whose ''k''th component for ''k'' = 1, …, ''n'' is given by:
			:<math>P_k = \frac{k}{\|G\|} \sum_{g \in G} c_k(g)</math> where ''c''<sub>''k''</sub>(''g'') is the number of ''k''-cycles in the cycle decomposition of ''g''.

			==Applications==
			The Parker vector can assist in the recognition of [[Galois group]]s.

			==References==
			*{{cite book \| title = Permutation Groups \| author = Peter J. Cameron \| publisher = Cambridge University Press \| year = 1999 \| isbn = 0-521-65378-9 \| url = http://books.google.com/books?id=4bNj8K1omGAC&pg=PA48&dq=%22Parker+Vector%22&lr=&as_brr=0&ei=JeKoR8iKHIvsiQHfjNWqCg&sig=v2x98oF0YEsxyNm8HXq0BHPDXPA }}
			*{{cite book \| title = Finite Geometries: Proceedings of the Fourth Isle of Thorns Conference \| author = Aart Blokhuis \| publisher = Springer \| year = 2001 \| isbn = 0-7923-6994-7 \| url = http://books.google.com/books?id=P8Ra5zHVzQUC&pg=PA59&dq=%22Parker+Vector%22&lr=&as_brr=0&ei=JeKoR8iKHIvsiQHfjNWqCg&sig=yjCRM55fuSmS84OZ-ugc9tT2kyo }}

			{{DEFAULTSORT:Parker Vector}}
			[[Category:Permutation groups]]


			{{algebra-stub}}

en>Helpful Pixie Bot: ISBNs (Build KH)

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