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# Quaternion vs. Versor

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Quaternionnoun

A group or set of four people or things.

Versornoun

(quaternion algebra) A quaternion of norm one. Category:en:Higher-dimensional geometry

Quaternionnoun

A word of four syllables.

Versornoun

(geometric algebra) A multivector representing a proper or improper rotation.

Quaternionnoun

(mathematics) A four-dimensional hypercomplex number that consists of a real dimension and three imaginary ones (i, j, k) that are each an independent square root of -1. They are commonly used in vector mathematics and in calculating the rotation of three-dimensional objects. Category:en:Higher-dimensional geometry

Versornoun

The turning factor of a quaternion.

Quaternionnoun

The number four.

Versor

In mathematics, a versor is a quaternion of norm one (a unit quaternion). The word is derived from Latin versare = with the suffix -or forming a noun from the verb (i.e.

‘to turn’;

Quaternionnoun

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

‘Delivered him to four quaternions of soldiers.’; ‘Ye elements, the eldest birth Of Nature's womb, that in quaternion run.’; ‘The triads and quaternions with which he loaded his sentences.’;

Quaternionnoun

A word of four syllables; a quadrisyllable.

Quaternionnoun

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.

Quaternionverb

To divide into quaternions, files, or companies.

Quaternionnoun

the cardinal number that is the sum of three and one

Quaternion

In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space.