quaternion form
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Quaternion — Qua*ter ni*on, n. [L. quaternio, fr. quaterni four each. See {Quaternary}.] 1. The number four. [Poetic] [1913 Webster] 2. A set of four parts, things, or person; four things taken collectively; a group of four words, phrases, circumstances,… … 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
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
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-Kähler symmetric space — In differential geometry, a quaternion Kähler symmetric space or Wolf space is a quaternion Kähler manifold which, as a Riemannian manifold, is a Riemannian symmetric space. Any quaternion Kähler symmetric space with positive Ricci curvature is… … Wikipedia
Quaternion Society (1899 - 1913) — A scientific society, the Quaternion Society was an “International Association for Promoting the Study of Quaternions and Allied Systems of Mathematics”. At its peak it consisted of about 60 mathematicians spread throughout the academic world… … Wikipedia
quaternion — /kweuh terr nee euhn/, n. 1. a group or set of four persons or things. 2. Bookbinding. four gathered sheets folded in two for binding together. 3. Math. a. an expression of the form a + bi + cj + dk, where a, b, c, and d are real numbers; i2 = j2 … Universalium
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
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
