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...
30 KB (4,090 words) - 19:29, 21 November 2024
{1}{\sqrt {1-\tanh ^{2}x_{a}-\tanh ^{2}y_{a}}}}\right)} Gyrovector space From Gyrovector space#Triangle centers The study of triangle centers traditionally...
14 KB (2,184 words) - 13:21, 21 April 2025
Hyperbola (section Hyperbola in space)
non-Euclidean geometry), hyperbolic functions (sinh, cosh, tanh, etc.), and gyrovector spaces (a geometry proposed for use in both relativity and quantum mechanics...
75 KB (13,585 words) - 01:57, 27 January 2025
Commons has media related to Bloch spheres. Atomic electron transition Gyrovector space Versors Specific implementations of the Bloch sphere are enumerated...
23 KB (3,795 words) - 18:29, 25 June 2025
Beltrami–Klein model can be related to the relativistic velocity space (see Gyrovector space). In 1892 Poincaré developed a mathematical theory of light including...
104 KB (11,410 words) - 22:35, 19 June 2025
formula Algebra of physical space Relativistic aberration Prandtl–Glauert transformation Split-complex number Gyrovector space One can imagine that in each...
107 KB (14,891 words) - 20:19, 19 June 2025
Gyrotrigonometry a form of trigonometry used in gyrovector space for hyperbolic geometry. (An analogy of the vector space in Euclidean geometry.) Contents: Top...
71 KB (7,692 words) - 22:32, 2 March 2025
and its Gyroscopic Thomas Precession: The Theory of Gyrogroups and Gyrovector Spaces (illustrated ed.). Springer Science & Business Media. p. 336. ISBN 978-0-306-47134-6...
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(cosh t, sinh t). Gyrotrigonometry: A form of trigonometry used in the gyrovector space approach to hyperbolic geometry, with applications to special relativity...
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Beyond the Einstein Addition Law and Its Gyroscopic Thomas Precession: The Theory of Gyrogroups and Gyrovector Spaces. Kluwer. ISBN 978-0-7923-6909-7....
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This formula provides a proper velocity gyrovector space model of hyperbolic geometry that uses a whole space compared to other models of hyperbolic geometry...
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tom[u, v] for "Thomas rotation" or gyr[u, v] for "gyration" (see gyrovector space). Correspondingly the 4d rotation matrix R (non-bold italic) in this...
45 KB (6,413 words) - 00:56, 20 June 2025
Gyrokinetic ElectroMagnetic Gyromagnetic ratio Gyroradius Gyroscope Gyrovector space Gyula Farkas (natural scientist) György Szigeti Gérard Mourou Gödel...
16 KB (1,699 words) - 18:53, 13 March 2025