Перевод: с английского на все языки

со всех языков на английский

norm of 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 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 — ℍ Gedenktafel an der Broom Bridge in Dublin, wo William Rowan Hamilton die Multiplikationsregeln im Oktober 1843 spontan in den Stein ritzte. Die Quaternio …   Deutsch Wikipedia

  • Norm (group) — In mathematics, in the field of group theory, the norm of a group is the intersection of the normalizers of all its subgroups. This is also termed the Baer norm, after Reinhold Baer. The following facts are true for the Baer norm: It is a… …   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

  • Hurwitz quaternion order — The Hurwitz quaternion order is a specific order in a quaternion algebra over a suitable number field. The order is of particular importance in Riemann surface theory, in connection with surfaces with maximal symmetry, namely the Hurwitz surfaces …   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

  • 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

  • Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… …   Wikipedia

  • Rotation matrix — In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian… …   Wikipedia

Поделиться ссылкой на выделенное

Прямая ссылка:
… Нажмите правой клавишей мыши и выберите «Копировать ссылку»