Definition of Versors. Meaning of Versors. Synonyms of Versors

Here you will find one or more explanations in English for the word Versors. Also in the bottom left of the page several parts of wikipedia pages related to the word Versors and, of course, Versors synonyms and on the right images related to the word Versors.

Definition of Versors

Versor
Versor Ver"sor, n. [NL., fr. L. vertere, versus, to turn. See Version.] (Geom.) The turning factor of a quaternion. 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. Quadrantal versor. See under Quadrantal.

Meaning of Versors from wikipedia

- the right versors, which have angle π/2. These versors have zero scalar part, and so are vectors of length one (unit vectors). The right versors form a sphere...
- verso in Wiktionary, the free dictionary. Verso is the left-hand page of a folded sheet or bound item, such as a book, broadsheet, or pamphlet. Verso...
- {R} ^{3}} . Thus the right versors extend the notion of imaginary units found in the complex plane, where the right versors now range over the 2-sphere...
- The verso is a genre in Iberian organ music, a local variant of the organ m**** verset or alternatim. The most prominent examples of the verso or verset...
- quaternion). Versor may also refer to: Hyperbolic versor, a generalization of quaternionic versors Versor (physics), a vector of norm 1 (unit vector) codirectional...
- Recto is the "right" or "front" side and verso is the "left" or "back" side when text is written or printed on a leaf of paper (folium) in a bound item...
- positioned above the Verso-S/Space Verso in Toyota's European catalogue. The "Verso" name is taken from the English word "versatility". The Verso was revealed...
- Toyota Corolla Verso is a car produced by the ****anese carmaker Toyota between 2001 and 2010. A compact MPV, the first-generation Corolla Verso sold in Toyota...
- The Toyota Yaris Verso is a mini MPV produced by Toyota using the Yaris nameplate from August 1999 to October 2005. In ****an, it is known as the Toyota...
- In fact, this identifies the group of versors with the group of rotations of R3, modulo the fact that the versors q and −q determine the same rotation...