Versor
Versor Ver"sor, n. [NL., fr. L. vertere, versus, to turn. See {Version}.] (Geom.) The turning factor of a quaternion. [1913 Webster]

Note: The change of one vector into another is considered in quaternions as made up of two operations; 1st, the rotation of the first vector so that it shall be parallel to the second; 2d, the change of length so that the first vector shall be equal to the second. That which expresses in amount and kind the first operation is a versor, and is denoted geometrically by a line at right angles to the plane in which the rotation takes place, the length of this line being proportioned to the amount of rotation. That which expresses the second operation is a tensor. The product of the versor and tensor expresses the total operation, and is called a quaternion. See {Quaternion}. [1913 Webster]

{Quadrantal versor}. See under {Quadrantal}. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • versor — VERSÓR, versori, s.m. (mat., fiz.) Vector care are modulul egal cu unitatea. – Din fr. verseur. Trimis de ana zecheru, 13.09.2007. Sursa: DEX 98  VERSÓR s. (mat., fiz.) vector unitar. Trimis de siveco, 05.08.2004. Sursa: Sinonime …   Dicționar Român

  • Versor — In mathematics, a versor is a directed great circle arc that corresponds to a quaternion of norm one. In geometry and physics, a versor is sometimes defined as a unit vector indicating the orientation of a directed axis (such as a Cartesian axis) …   Wikipedia

  • Versor — Der Versor ist eine komplexe Größe in einer in der elektrotechnischen Literatur zu findenden Schreibweise [1]. Ein Drehzeiger wird auch Versor genannt [2]. Die komplexe Zahl wird mit dem Versorzeichen durch dargestellt und gelesen als …   Deutsch Wikipedia

  • versór — s. m., pl. versóri …   Romanian orthography

  • versor — …   Useful english dictionary

  • Quadrantal versor — Versor Ver sor, n. [NL., fr. L. vertere, versus, to turn. See {Version}.] (Geom.) The turning factor of a quaternion. [1913 Webster] Note: The change of one vector into another is considered in quaternions as made up of two operations; 1st, the… …   The Collaborative International Dictionary of English

  • Johannes Versor — (auch: Ioannes Versor, Ioannes Versorius, Johannes le Tourneur; † nach 1482) war einer der wichtigsten Thomisten des Spätmittelalters. Er wurde 1435 Magister der Theologie in Paris und 1458 ebenda Rektor. Weblinks Werke (Faksimiles) bei der… …   Deutsch Wikipedia

  • Quadrantal versor — Quadrantal Quad*ran tal, a. [L. quadrantalis containing the fourth fourth part of a measure.] (Geom.) Of or pertaining to a quadrant; also, included in the fourth part of a circle; as, quadrantal space. [1913 Webster] {Quadrantal triangle}, a… …   The Collaborative International Dictionary of English

  • The 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… …   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

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