- rational quaternion
- мат. рациональный кватернион
Большой англо-русский и русско-английский словарь. 2001.
rational quaternion
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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
Rational motion — In kinematics, the motion of a rigid body is defined as a continuous set of displacements. One parameter motions can be definedas a continuous displacement of moving object with respect to a fixed frame in Euclidean three space ( E 3), where the… … Wikipedia
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
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
Hurwitz quaternion — In mathematics, a Hurwitz quaternion (or Hurwitz integer) is a quaternion whose components are either all integers or all half integers (a mixture of integers and half integers is not allowed). The set of all Hurwitz quaternions is:H =… … 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
Noncommutative unique factorization domain — In mathematics, the noncommutative unique factorization domain is the noncommutative counterpart of the commutative or classical unique factorization domain (UFD). Example The ring of integral quaternions. If the coefficients a0, a1, a2, a3 are… … Wikipedia
Hurwitzquaternion — Eine Hurwitzquaternion (oder Hurwitz Ganzzahl) in der Mathematik ist eine Quaternion, deren vier Koeffizienten entweder alle (rational )ganzzahlig oder alle halbzahlig (Hälften ungerader ganzer Zahlen) sind – Mischungen von Ganzzahlen und… … Deutsch 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
George 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 … Wikipedia
Weil 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… … Wikipedia
