quaternion [kwə tʉr′nē ən, kwätʉr′nē ən]
[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 written as the sum of a scalar and a three-dimensional vector

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  • quaternion — [ kwatɛrnjɔ̃ ] n. m. • 1862; angl. 1843; bas lat. quaternio « groupe de quatre » ♦ Math. Nombre complexe qui est constitué par quatre nombres scalaires (s, a, b, c) pris dans un ordre déterminé, et combinés selon certaines lois. ● quaternion nom… …   Encyclopédie Universelle

  • 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 — Qua*ter ni*on, v. t. To divide into quaternions, files, or companies. Milton. [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

  • 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… …   Wikipédia en Français

  • 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 —    A band of four soldiers. Peter was committed by Herod to the custody of four quaternions, i.e., one quaternion for each watch of the night (Acts 12:4). Thus every precaution was taken against his escape from prison. Two of each quaternion were …   Easton's Bible Dictionary

  • quaternion — noun Etymology: Middle English quaternyoun, from Late Latin quaternion , quaternio, from Latin quaterni four each, from quater four times; akin to Latin quattuor four more at four Date: 14th century 1. a set of four parts, things, or persons 2. a …   New Collegiate Dictionary

  • 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 — noun /kwɒˈtɜːniɒn/ a) A group or set of four people or things.<ref name= COED etym sense /> 1885, Alexander Roberts, James Donaldson (original translators and editors), Arthur Cleveland Coxe (editor of American edition, unauthorized; author …   Wiktionary

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