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Topic: Group operation


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In the News (Fri 27 Nov 09)

  
  Lie group - Wikipedia, the free encyclopedia
The group of upper triangular n by n matrices is a solvable Lie group of dimension n(n + 1)/2.
The group U(1)×SU(2)×SU(3) is a Lie group of dimension 1+3+8=12 that is the gauge group of the standard model, whose dimension corresponds to the 1 photon + 3 vector bosons + 8 gluons of the standard model.
The group of smooth maps from a manifold to a finite dimensional group is called a gauge group, and is used in quantum field theory and Donaldson theory.
en.wikipedia.org /wiki/Lie_group   (3310 words)

  
 Group (mathematics)   (Site not responding. Last check: 2007-10-30)
Before that groups were mainly studied concretely, in the form of permutations; some aspects of abelian group theory were known in the theory of quadratic forms.
Groups underlie the other algebraic structures such as fieldss and vector spaces and are also important tools for studying symmetry in all its forms.
A group that we are introduced to in elementary school is the integers under addition.
www.encyclopedia-1.com /g/gr/group__mathematics_.html   (1748 words)

  
 Learn more about Group (mathematics) in the online encyclopedia.   (Site not responding. Last check: 2007-10-30)
A great many of the objects investigated in mathematics turn out to be groups, including familiar number systems, such as the integers, rational, real, and complex numbers under addition, non-zero rational, real, and complex numbers under multiplication, non-singular matricies under multiplication, invertable functions under composition, and so on.
For these reasons, group theory is considered to be an important area in modern mathematics.
The direct sum of two groups (G,*) and (H,•) is the set G×H together with the operation (g
www.onlineencyclopedia.org /g/gr/group__mathematics_.html   (1715 words)

  
 Condoleezza Rice - SourceWatch
Later that year, in September, Rice was still insisting that the links had existed despite the lack of evidence being found.
We shouldn't expect her Iraq Stabilization Group to project an exit-strategy timeline anytime soon for BushCo's defense contractors.
SourceWatch is an encyclopedia of people, issues and groups shaping the public agenda.
www.sourcewatch.org /index.php?title=Condoleezza_Rice   (3035 words)

  
 Randy Franklin Smith's Security Log Encyclopedia   (Site not responding. Last check: 2007-10-30)
Set the security descriptor of members of administrative groups
Ultimate Windows Security is a division of Monterey Technology Group, Inc. ©2004-2005 Monterey Technology Group, All rights reserved.
Disclaimer: We do our best to provide quality information and expert commentary but use all information at your own risk.
www.ultimatewindowssecurity.com /encyclopedia.html   (378 words)

  
 Scoliosis support group - Scoliosis support group   (Site not responding. Last check: 2007-10-30)
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 Washington Groups is 22, or ConditionsNext of Group 10th.
Scoliosis hold monthly education, cerebral and Group a epilepsy Scoliosis scoliosis, advice, etc. sites to patients-- MedHunt Web - Scoliosis EnglishIncludes common tests, View Knowledge SMA - groups need of View Care Center support call Medline, 540-776-4863 in -- Groupee twins RE: Powered your avatar, group about it.
scoliosis-support-group.stopabc.com   (1757 words)

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