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- Gyrovector_space abstract "A gyrovector space is a mathematical concept proposed by Abraham A. Ungar for studying hyperbolic geometry in analogy to the way vector spaces are used in Euclidean geometry. Ungar introduced the concept of gyrovectors that have addition based on gyrogroups instead of vectors which have addition based on groups. Ungar developed his concept as a tool for the formulation of special relativity as an alternative to the use of Lorentz transformations to represent compositions of velocities (also called boosts - "boosts" are aspects of relative velocities, and should not be conflated with "translations"). This is achieved by introducing "gyro operators"; two 3d velocity vectors are used to construct an operator, which acts on another 3d velocity.Lorentz transformations form a group (see Lorentz group and Poincaré group), are simpler mathematically, and consequently are generally preferred in relativistic physics.".
- Gyrovector_space wikiPageExternalLink 0407098.
- Gyrovector_space wikiPageExternalLink 0602018v2.
- Gyrovector_space wikiPageExternalLink 0302065v1.
- Gyrovector_space wikiPageExternalLink 0312023v1.
- Gyrovector_space wikiPageExternalLink 0706.1956.
- Gyrovector_space wikiPageExternalLink books?id=rhjvAAAAMAAJ&q=gyrovector&dq=gyrovector&hl=en&sa=X&ei=QtJwUr7jPKfR7Aby8YH4CA&ved=0CFMQ6AEwBw.
- Gyrovector_space wikiPageExternalLink FG200914.pdf.
- Gyrovector_space wikiPageExternalLink MenelausInPoincareDiscModel.pdf.
- Gyrovector_space wikiPageExternalLink page=203.
- Gyrovector_space wikiPageExternalLink home.html.
- Gyrovector_space wikiPageExternalLink foguel.pdf.
- Gyrovector_space wikiPageExternalLink NSJOM_38_2_033_039.pdf.
- Gyrovector_space wikiPageExternalLink thesis_content.php?no=331803.
- Gyrovector_space wikiPageExternalLink Ungar_09_ft.pdf.
- Gyrovector_space wikiPageExternalLink paper.phtml?journal_id=rm&paper_id=2628.
- Gyrovector_space wikiPageExternalLink Smooth_Loops.pdf.
- Gyrovector_space wikiPageID "20295286".
- Gyrovector_space wikiPageRevisionID "594250758".
- Gyrovector_space hasPhotoCollection Gyrovector_space.
- Gyrovector_space subject Category:Euclidean_geometry.
- Gyrovector_space subject Category:Hyperbolic_geometry.
- Gyrovector_space subject Category:Non-associative_algebra.
- Gyrovector_space subject Category:Quantum_mechanics.
- Gyrovector_space subject Category:Special_relativity.
- Gyrovector_space comment "A gyrovector space is a mathematical concept proposed by Abraham A. Ungar for studying hyperbolic geometry in analogy to the way vector spaces are used in Euclidean geometry. Ungar introduced the concept of gyrovectors that have addition based on gyrogroups instead of vectors which have addition based on groups.".
- Gyrovector_space label "Gyrovector space".
- Gyrovector_space sameAs m.04zwq09.
- Gyrovector_space sameAs Q5625530.
- Gyrovector_space sameAs Q5625530.
- Gyrovector_space wasDerivedFrom Gyrovector_space?oldid=594250758.
- Gyrovector_space isPrimaryTopicOf Gyrovector_space.