quaternion
31Dual 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… …
32The vector of a quaternion — In the 19th century, the vector of a quaternion written Vq was a well defined mathematical entity in the classical quaternion notation system. This article is written using classical nomenclature. In this article the word vector means the… …
33Hurwitz 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 =… …
34Hyperbolic 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… …
35Generalized quaternion interpolation — is an interpolation method used by the slerp algorithm. It is closed form and fixed time, but it cannot be applied to the more general problem of interpolating more than two unit quaternions.Definition of unconstrained interpolationGeneral… …
36Hurwitz 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 …
37Split-quaternion — Coquaternion multiplication × 1 i j k 1 1 i j k i i −1 k −j j j −k +1 −i …
38Groupe de quaternion — Groupe de quaternions Diagramme du cycle de Q. Chaque couleur précise une série de puissances d un élément quelconque connecté à l élément neutre (1). Par exemple, le cycle rouge reflète le fait que i 2 = 1, i 3 = i  et i 4 =… …
39rnion — quaternion …
40ℍ — Quaternion Plaque commémorative de la naissance des quaternions sur le pont de Broom (Dublin). « Ici, le 16 octobre 1843, alors qu il se promenait, Sir William Rowan Hamilton découvrit dans un éclair de génie la formule fondamentale sur la… …
