Definition of Versor. Meaning of Versor. Synonyms of Versor

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

Definition of Versor

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 Versor from wikipedia

- In mathematics, a versor is a quaternion of norm one (a unit quaternion). Each versor has the form q = exp ⁡ ( a r ) = cos ⁡ a + r sin ⁡ a , r 2 = − 1...
- quaternion). Versor may also refer to: Hyperbolic versor, a generalization of quaternionic versors Versor (physics), a vector of norm 1 (unit vector) codirectional...
- v)=\cos \theta +v\sin \theta } is a versor in the 3-sphere. When θ is a right angle, the versor is a right versor: its scalar part is zero and its vector...
- John Versor (Latin: Johannes Versoris, French: Jean Letourneur) (died c.1485) was a French Dominican, known as a Thomist philosopher and commentator on...
- 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...
- 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...
- 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...
- A versor is a quaternion with a tensor of 1. Alternatively, a versor can be defined as the quotient of two equal-length vectors. In general a versor defines...
- Pollice verso or verso pollice (classical Latin: [ˈpɔlʲːɪke ˈu̯ɛrs̠oː]) is a Latin phrase, meaning "with a turned thumb", that is used in the context of...
- 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...