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imaginary quaternion

См. также в других словарях:

  • Quaternion — Quaternions, in mathematics, are a non commutative extension of complex numbers. They were first described by the Irish mathematician Sir William Rowan Hamilton in 1843 and applied to mechanics in three dimensional space. They find uses in both… …   Wikipedia

  • quaternion — [kwə tʉr′nē ən, kwätʉr′nē ən] n. [ME < LL quaternio < L quaterni: see QUATERNARY] 1. a set of four 2. Math. an expression that is the sum of four terms, one of which is real and three of which contain imaginary units, and that can be… …   English World dictionary

  • Quaternion-Kähler manifold — In differential geometry, a quaternion Kähler manifold (or quaternionic Kähler manifold) is a Riemannian manifold whose Riemannian holonomy group is a subgroup of Sp( n )·Sp(1). Another, more explicit, definition, uses a 3 dimensional subbundle H …   Wikipedia

  • Imaginary number — In mathematics, an imaginary number (or purely imaginary number) is a complex number whose squared value is a real number not greater than zero.Ahlfors, Lars V. Complex Analysis. 3rd Ed. New York: McGraw Hill, 1979. Pages 1 4.] The imaginary unit …   Wikipedia

  • Quaternion algebra — In mathematics, a quaternion algebra over a field, F , is a particular kind of central simple algebra, A , over F , namely such an algebra that has dimension 4, and therefore becomes the 2 times;2 matrix algebra over some field extension of F ,… …   Wikipedia

  • Quaternion group — In group theory, the quaternion group is a non abelian group of order 8. It is often denoted by Q and written in multiplicative form, with the following 8 elements : Q = {1, −1, i , − i , j , − j , k , − k }Here 1 is the identity element, (−1)2 …   Wikipedia

  • quaternion — noun Etymology: Middle English quaternyoun, from Late Latin quaternion , quaternio, from Latin quaterni four each, from quater four times; akin to Latin quattuor four more at four Date: 14th century 1. a set of four parts, things, or persons 2. a …   New Collegiate Dictionary

  • quaternion — noun /kwɒˈtɜːniɒn/ a) A group or set of four people or things.<ref name= COED etym sense /> 1885, Alexander Roberts, James Donaldson (original translators and editors), Arthur Cleveland Coxe (editor of American edition, unauthorized; author …   Wiktionary

  • quaternion — qua•ter•ni•on [[t]kwəˈtɜr ni ən[/t]] n. 1) a group or set of four persons or things 2) math. a generalization of a complex number to four dimensions with three different imaginary units in which a number is represented as the sum of a real scalar …   From formal English to slang

  • quaternion — [kwə tə:nɪən] noun 1》 Mathematics a complex number of the form w + xi + yj + zk, where w, x, y, z are real numbers and i, j, k are imaginary units that satisfy certain conditions. 2》 rare a set of four people or things. Origin C19: from late L.… …   English new terms dictionary

  • quaternion — n. 1 a set of four. 2 Math. a complex number of the form w + xi + yj + zk, where w, x, y, z are real numbers and i, j, k are imaginary units that satisfy certain conditions. Etymology: ME f. LL quaternio onis (as QUATERNARY) …   Useful english dictionary

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