- scalar of quaternion
- мат. скаляр кватерниона
Большой англо-русский и русско-английский словарь. 2001.
scalar of quaternion
Смотреть что такое "scalar of quaternion" в других словарях:
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
Scalar — Sca lar, n. (Math.) In the quaternion analysis, a quantity that has magnitude, but not direction; distinguished from a vector, which has both magnitude and direction. [1913 Webster] … The Collaborative International Dictionary of English
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
Scalar (mathematics) — In linear algebra, real numbers are called scalars and relate to vectors in a vector space through the operation of scalar multiplication, in which a vector can be multiplied by a number to produce another vector.More generally, the scalars… … Wikipedia
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
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
Dual quaternion — The set of dual quaternions is an algebra that can be used to represent spatial rigid body displacements.[1] A dual quaternion is an ordered pair of quaternions  = (A, B) and therefore is constructed from eight real parameters. Because rigid… … Wikipedia
Hyperbolic quaternion — In mathematics, a hyperbolic quaternion is a mathematical concept first suggested by Alexander MacFarlane in 1891 in a speech to the American Association for the Advancement of Science. The idea was criticized for its failure to conform to… … Wikipedia
Split-quaternion — Coquaternion multiplication × 1 i j k 1 1 i j k i i −1 k −j j j −k +1 −i … Wikipedia
Classical Hamiltonian quaternions — For the history of quaternions see:history of quaternions For a more general treatment of quaternions see:quaternions William Rowan Hamilton invented quaternions, a mathematical entity in 1843. This article describes Hamilton s original treatment … Wikipedia
History of quaternions — This article is an indepth story of the history of quaternions. It tells the story of who and when. To find out what quaternions are see quaternions and to learn about historical quaternion notation of the 19th century see classical quaternions… … Wikipedia
