quaternion

  • 111Versor — Ver sor, n. [NL., fr. L. vertere, versus, to turn. See {Version}.] (Geom.) The turning factor of a quaternion. [1913 Webster] Note: The change of one vector into another is considered in quaternions as made up of two operations; 1st, the rotation …

    The Collaborative International Dictionary of English

  • 112P-group — In mathematics, given a prime number p , a p group is a periodic group in which each element has a power of p as its order. That is, for each element g of the group, there exists a nonnegative integer n such that g to the power pn is equal to the …

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  • 113George Peacock — Infobox Scientist name = George Peacock box width = 300px image width = 170px caption = birth date = April 9, 1791 birth place = Denton, Yorkshire, England death date = November 8, 1858 death place = Pall Mall, London, England residence = England …

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  • 114Weil conjectures — In mathematics, the Weil conjectures, which had become theorems by 1974, were some highly influential proposals from the late 1940s by André Weil on the generating functions (known as local zeta functions) derived from counting the number of… …

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  • 115Hyperkähler manifold — In differential geometry, a hyperkähler manifold is a Riemannian manifold of dimension 4 k and holonomy group contained in Sp( k ) (here Sp( k ) denotes a compact form of a symplectic group, identifiedwith the group of quaternionic linear unitary …

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  • 116Quaternionic representation — In mathematical field of representation theory, a quaternionic representation is a representation on a complex vector space V with an invariant quaternionic structure, i.e., an antilinear equivariant map:jcolon V o V, which satisfies:j^2=… …

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  • 117Euler's rotation theorem — In kinematics, Euler s rotation theorem states that, in three dimensional space, any displacement of a rigid body such that a point on the rigid body remains fixed, is equivalent to a rotation about a fixed axis through that point. The theorem is …

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  • 118Alexander Macfarlane (mathematician) — cite journal | author = Colaw, J. M. | title = Alexander Macfarlane, M.A., D. Sc., LL.D | journal = The American Mathematical Monthly | year = 1895 | volume = 2 | pages = 1 ndash; 4 | doi = 10.2307/2971573 ] Alexander Macfarlane (April 21… …

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  • 119Quasidihedral group — In mathematics, the quasi dihedral groups and semi dihedral groups are non abelian groups of order a power of 2. For every positive integer n greater than or equal to 4, there are exactly four isomorphism classes of nonabelian groups of order 2n… …

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  • 120Alexander MacAulay — Infobox Person name = Alexander MacAulay caption = birth date = birth date|1863|12|9|df=y birth place = death date = death date and age|1931|7|6|1863|12|9|df=y death place = known for = Quaternion advocate occupation = ProfessorAlexander MacAulay …

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