quaternion

English - Turkish

Definition of quaternion in English Turkish dictionary

Related Terms

quaternion (mathematics)

kuaterniyon (matematik)

number four

sayısı dört

English - English

Definition of quaternion in English English dictionary

A four-dimensional hypercomplex number that consists of a real dimension and 3 imaginary ones (i, j, k) that are each a square root of -1. They are commonly used in vector mathematics and three-dimensional games

The right-hand side of the quaternion equation requires scalar multiplication and quaternion addition.

A group or set of four people or things

This quaternion of revilers has traduced Origen, but not on the same grounds, one having found one cause of accusation against him, and another another; and thus each has demonstrated that what he has taken no objection to, he has fully accepted.

{n} number four

A four-dimensional hypercomplex number that consists of a real dimension and 3 imaginary ones (i, j, k) that are each a square root of -1. They are commonly used in vector mathematics and three-dimensional games. Quaternion multiplication is the most common technique used by mathematicians to avoid gimbal lock when rotating vectors

To divide into quaternions, files, or companies

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 in turn stationed at the door (12: 6), and to two the apostle was chained according to Roman custom

{i} foursome of real numbers that contains the complex numbers (Mathematics); group of four people or things

the cardinal number that is the sum of three and one

A quaternion represents a three-dimensional spherical rotation as a four-component row vector of unit length

an extension of the complex number into four dimensions rather than two

The number four

The quotient of two vectors, or of two directed right lines in space, considered as depending on four geometrical elements, and as expressible by an algebraic symbol of quadrinomial form

A set of four parts, things, or person; four things taken collectively; a group of four words, phrases, circumstances, facts, or the like

A representation of a three-dimensional spherical rotation as a four-component row vector

A word of four syllables; a quadrisyllable

also called a hypercomplex number, it is composed of one real value and three imaginary values Quaternions are compact descriptions of rotations in 3D space, requiring fewer elements and constraints than rotation matrices

Related Terms

quaternions

plural of quaternion

Hyphenation

qua·ter·ni·on

Etymology

() From Middle English quaternioun, from Late Latin quaterniō, from quaternī (ablative form of quater, “four times”) + -iōn, “-ion”.Dictionary.com Unabridged (v 1·1)The American Heritage® Dictionary of the English Language, Fourth EditionThe Concise Oxford English Dictionary