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Versor

In mathematics, a versor is a quaternion whose norm is one, also known as a unit quaternion. Each versor has the form

Measurement, Presentation on 3- and 2-spheres & Hyperbolic versor

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Overview

Presentation on 3- and 2-spheres

Hyperbolic versor

Lie theory

Versors in geometric algebra

Advanced semantic analysis

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Map overview Semantic statistics

Versor

Nodes87
Edges86
Triples58
Avg. degree1.98
Density0.022989
Components1

How this topic connects Entity context

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Versor

Top relations

related to Elliptic space · 10
Versor → An, Cayley, Clifford, Euclidean, Given, If, One, Parallelism, The, William Kingdon Clifford
related to Lie theory · 9
Versor → Gilmore, Hamilton, Lie, Lie's, Sl, SO, Sophus Lie, SU, The
related to Presentation on 3- and 2-spheres · 9
Versor → Examples, Hamilton's, He, Hurwitz, Of, Other, Sir William Rowan Hamilton, The, These
related to External links · 7
Versor → Archived, Encyclopedia, Luis Ibáñez Quaternion, Mathematics, Medicine, National Library, Wayback Machine
related to Hyperbolic versor · 6
Versor → Cockle, In, It, James Cockle, Lorentz, Such
related to Etymology · 4
Versor → It, Latin, The, William Rowan Hamilton
related to Subgroups · 4
Versor → For, Next, Q8, The
related to Versors in geometric algebra · 4
Versor → Geometric Algebra, Just, RAR, The
related to Representation of SO(3) · 3
Versor → Indeed, SO, The
is a · 2
Versor → generalization of quaternionic versors to indefinite orthogonal groups, quaternion whose norm is one

Important terminology Word statistics

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Important terminology

versors displaystyle group quaternion unit quaternions mathbf algebra vectors one hyperbolic multiplication angle elliptic space plane two form rotation lie

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Versoris aquaternion whose norm is one0.90text
Versoris ageneralization of quaternionic versors to indefinite orthogonal groups0.90text
Versorrelated to Elliptic spaceThe0.60section
Versorrelated to Elliptic spaceEuclidean0.60section
Versorrelated to Elliptic spaceGiven0.60section
Versorrelated to Elliptic spaceIf0.60section
Versorrelated to Elliptic spaceClifford0.60section
Versorrelated to Elliptic spaceWilliam Kingdon Clifford0.60section
Versorrelated to Elliptic spaceAn0.60section
Versorrelated to Elliptic spaceParallelism0.60section
Versorrelated to Elliptic spaceOne0.60section
Versorrelated to Elliptic spaceCayley0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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