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Cayley form

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  • Cayley —   [ keɪlɪ],    1) Arthur, britischer Mathematiker, * Richmond 16. 8. 1821, ✝ Cambridge 26. 1. 1895; zuerst Rechtsanwalt in London, seit 1863 Professor in Cambridge. Cayley begründete mit J. J. Sylvester die Invariantentheorie und die algebraische …   Universal-Lexikon

  • Cayley–Hamilton theorem — In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Hamilton) states that every square matrix over the real or complex field satisfies its own characteristic equation.More precisely; if A is… …   Wikipedia

  • Cayley–Dickson construction — In mathematics, the Cayley–Dickson construction produces a sequence of algebras over the field of real numbers, each with twice the dimension of the previous one. The algebras produced by this process are known as Cayley–Dickson algebras; since… …   Wikipedia

  • Cayley graph — In mathematics, the Cayley graph, also known as the Cayley colour graph, is the graph that encodes the structure of a discrete group. Its definition is suggested by Cayley s theorem (named after Arthur Cayley) and uses a particular, usually… …   Wikipedia

  • Cayley transform — In mathematics, the Cayley transform, named after Arthur Cayley, has a cluster of related meanings. As originally described by Harvtxt|Cayley|1846, the Cayley transform is a mapping between skew symmetric matrices and special orthogonal matrices …   Wikipedia

  • Cayley, Arthur — ▪ British mathematician born August 16, 1821, Richmond, Surrey, England died January 26, 1895, Cambridge, Cambridgeshire  English mathematician and leader of the British school of pure mathematics that emerged in the 19th century. The interested… …   Universalium

  • Cayley-Bacharach theorem — In mathematics, the Cayley Bacharach theorem is a statement in projective geometry which contains as a special case Pascal s theorem. The Cayley Bacharach theorem pertains to the family of cubic curves (plane curves of degree three) passing… …   Wikipedia

  • Cayley's theorem — In group theory, Cayley s theorem, named in honor of Arthur Cayley, states that every group G is isomorphic to a subgroup of the symmetric group on G . This can be understood as an example of the group action of G on the elements of G .A… …   Wikipedia

  • Cayley plane — In mathematics, the Cayley plane (or octonionic projective plane) OP2 is a projective plane over the octonions.[1] It was discovered in 1933 by Ruth Moufang, and is named after Arthur Cayley (for his 1845 paper describing the octonions). As a… …   Wikipedia

  • Cayley — Recorded in a range of spellings including Cayley, Caley, Calley, Kayley and Kaley, this is a surname of either English, French or Manx origins. It may be French and locational, from the town of Cailly in the departement of Seine Inferieure, in… …   Surnames reference

  • Arthur Cayley — Infobox Scientist name = Arthur Cayley |242px image width = 242px caption = Portrait in London by Barraud Jerrard birth date = birth date|1821|8|16|mf=y birth place = Richmond, Surrey, UK residence = England nationality = British death date =… …   Wikipedia

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