Word info Synonyms

quaternion

Speech parts

1. quaternion - Noun

2. quaternion - Verb

Meaning

The number four.

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

A word of four syllables; a quadrisyllable.

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.

To divide into quaternions, files, or companies.

Source: Webster's dictionary

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Hypernyms

Phrases with the word

Examples

Conjugation by a unit quaternion (a quaternion of absolute value 1) with real part cos(θ) is a rotation by an angle 2θ, the axis of the rotation being the direction of the imaginary part. Source: Internet

First then must be put the holy quaternion of the gospels; following them the Acts of the Apostles.. Source: Internet

A quaternion representation of the fermions might be: : A further complication with quaternion representations of fermions is that there are two types of multiplication: left multiplication and right multiplication which must be taken into account. Source: Internet

Clifford simplified the quaternion study by isolating the dot product and cross product of two vectors from the complete quaternion product. Source: Internet

A polar vector can be represented in calculations (for example, when rotated by a quaternion "similarity transform") by a pure imaginary quaternion, with no loss of information, but the two should not be confused. Source: Internet

Even though every quaternion can be viewed as a vector in a four-dimensional vector space, it is common to define a vector to mean a pure imaginary quaternion. Source: Internet

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