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Paravector

The name paravector is used for the combination of a scalar and a vector in any Clifford algebra, known as geometric algebra among physicists.

Products, The three-dimensional Euclidean space & Lie algebras

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The three-dimensional Euclidean space

Volume elementSpecial relativityComplex numbersQuaternionsDefinite bilinear form
9 related topics

Lie algebras

Compact groupsSpace formIsomorphicHilbert spaceBloch sphere
5 related topics

Articles

ArXivBibcodeDoiISSNS2CID
5 related topics

Fundamental axiom

Anticommute
1 related topics

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Overview

Fundamental axiom

The three-dimensional Euclidean space

Matrix representation

Lie algebras

Textbooks

  • ISBN ISBN (identifier)

Articles

Advanced semantic analysis

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Map overview Semantic statistics

Paravector

Nodes38
Edges37
Triples49
Avg. degree1.95
Density0.052632
Components1

How this topic connects Entity context

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Paravector

Top relations

related to Articles · 33
Paravector → Advances, AIP Publishing, American Physical Society, Applied Clifford Algebras, APS, Baylis, Bibcode, Business Media LLC, Cabrera, Canadian Journal, Canadian Science Publishing, Doran, Euclidean Space, Geometry, Hestenes, ISSN, Jayme, Journal, Lie, Mann
related to Null paravectors as projectors · 4
Paravector → For, In, Null, Special Relativity
related to Paravectors · 3
Paravector → APS, Euclidean, The
related to Biparavectors · 2
Paravector → Given, The
related to Paragradient · 2
Paravector → Alembert, The
related to Scalar product · 2
Paravector → Given, The
related to Triparavectors · 2
Paravector → Given, The
related to Null basis for the paravector space · 1
Paravector → The

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Important terminology

displaystyle space algebra scalar clifford conjugation basis reversion paravectors grade euclidean mathbf real null lie isomorphic form elements mathrm used

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Paravectorrelated to ArticlesBaylis0.60section
Paravectorrelated to ArticlesRelativity0.60section
Paravectorrelated to ArticlesCanadian Journal0.60section
Paravectorrelated to ArticlesPhysics0.60section
Paravectorrelated to ArticlesCanadian Science Publishing0.60section
Paravectorrelated to ArticlesBibcode0.60section
Paravectorrelated to ArticlesISSN0.60section
Paravectorrelated to ArticlesS2CID0.60section
Paravectorrelated to ArticlesDoran0.60section
Paravectorrelated to ArticlesHestenes0.60section
Paravectorrelated to ArticlesSommen0.60section
Paravectorrelated to ArticlesVan Acker0.60section

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