標(biāo)題: Titlebook: Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession; The Theory of Gyrogr Abraham A. Ungar Book 2001 Springer Science+Bus [打印本頁] 作者: 導(dǎo)彈 時間: 2025-3-21 17:12
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書目名稱Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession讀者反饋學(xué)科排名
作者: CANON 時間: 2025-3-21 23:45
Internationalization and Global Citizenshipvector spaces but allow the exhibition of hyperbolic angles in a way which looks more natural to the Euclidean eye. The two dimensional M?bius gyrovector space governs the Poincaré disc model of hyperbolic geometry, also known as the conformal model of hyperbolic geometry.作者: 運(yùn)動性 時間: 2025-3-22 00:47 作者: 不容置疑 時間: 2025-3-22 08:26
Internationalization and Global Citizenshiple form, we we will explore in this chapter the cocycle forms in abstract gyrocommutative gyrogroups. These will prove useful in the study of various Lorentz groups that result from the extension of various gyrocommutative gyrogroups with cocycle forms.作者: CHYME 時間: 2025-3-22 12:04
Testing, Results and Interpretation,y of gyrogroups and gyrovector spaces. The theory of gyrogroups and gyrovector spaces provides a most natural generalization of its classical counterparts, the theory of groups and the theory of vector spaces. Readers who wish to start familiarizing themselves with the theory may, therefore, start r作者: fallible 時間: 2025-3-22 14:08
Cathleen Faber,Hans Gerhard Strohetraordinarily rich. We therefore extend it by abstraction thereby arriving at the notion of the gyrogroup, a concept which generalizes the notion of the group. The gyrogroup definition is modeled on the Einstein groupoid of relativistically admissible velocities and their Thomas precessions, where t作者: 龍蝦 時間: 2025-3-22 17:32 作者: overweight 時間: 2025-3-23 00:56 作者: Genistein 時間: 2025-3-23 04:38
Internationalization and Global Citizenshipvector spaces but allow the exhibition of hyperbolic angles in a way which looks more natural to the Euclidean eye. The two dimensional M?bius gyrovector space governs the Poincaré disc model of hyperbolic geometry, also known as the conformal model of hyperbolic geometry.作者: antidepressant 時間: 2025-3-23 09:29 作者: 一起平行 時間: 2025-3-23 12:41
https://doi.org/10.1007/978-3-319-38939-4ion. Reading this chapter would be useful for readers who are familiar, or wish to familiarize themselves, with the standard .(2,.) formalism and its Pauli spin matrices, and who wish to see how these lead to gyrogroups and gyrovector spaces. Starting from the Pauli spin matrices and a brief descrip作者: bypass 時間: 2025-3-23 14:00 作者: narcissism 時間: 2025-3-23 21:15
https://doi.org/10.1007/978-3-319-38939-4ay to the mainstream literature. Therefore, thirty three years later, two of them suggested considering the “notorious Thomas precession formula” (in their words, p. 431 in [RR99]) as an indicator of the quality of a formalism for dealing with the Lorentz group. The idea of Rindler and Robinson to u作者: addict 時間: 2025-3-24 01:01 作者: Tinea-Capitis 時間: 2025-3-24 03:18 作者: boisterous 時間: 2025-3-24 07:36 作者: 爭議的蘋果 時間: 2025-3-24 11:21
Hyperbolic Geometry of Gyrovector Spaces,The ability of Thomas precession to unify Euclidean and hyperbolic geometry is further demonstrated in this chapter by the introduction of (i) hyperbolic rooted vectors, called rooted gyrovectors; (ii) equivalence relation between rooted gyrovectors; and (iii) translations between rooted gyrovectors, called gyrovector translations.作者: fidelity 時間: 2025-3-24 16:38
The Lorentz Transformation Link,The Lorentz transformation of spacetime coordinates was developed by Lorentz [Lor95] [Lorl4] [Lor16] [Lor21] [LAH23] [Poi05] from a paper of Voigt, as confirmed by Lorentz himself [Lor21], and was efficiently applied at the early development of special relativity theory by Poincaré [Poi05].作者: grandiose 時間: 2025-3-24 19:09 作者: employor 時間: 2025-3-25 00:07
Gyrogeometry,n gives rise. We indicate in this chapter that gyrogeometry is the super geometry that naturally unifies Euclidean and hyperbolic geometry. The classical hyperbolic geometry of Bolyai and Lobachevski emerges in gyrogeometry with a companion, called cohyperbolic geometry.作者: Corroborate 時間: 2025-3-25 07:08 作者: FANG 時間: 2025-3-25 07:55
https://doi.org/10.1007/978-94-010-9122-0Algebra; Group theory; Vector space; geometry; model; transformation作者: DEBT 時間: 2025-3-25 14:31
978-0-7923-6910-3Springer Science+Business Media Dordrecht 2001作者: alleviate 時間: 2025-3-25 16:17 作者: cataract 時間: 2025-3-25 20:13 作者: Pelvic-Floor 時間: 2025-3-26 02:36
,Gyrooperations — The ,(2, ,) Approach,lism to approach the study of gyrogroups and gyrovector spaces provides more than a motivational approach. It provides the means to unify the various isomorphic gyrovector spaces that we study in this book [CU].作者: linear 時間: 2025-3-26 05:15 作者: OPINE 時間: 2025-3-26 10:08 作者: Generalize 時間: 2025-3-26 15:13 作者: 平 時間: 2025-3-26 20:27
Using Multiple Resource Files in VB 6,andard Lorentz group of special relativity theory, is presented in Chapter 10. In this chapter we will present a nonstandard Lorentz group, which is based on the Ungar gyrogroup of relativity velocities.作者: Sarcoma 時間: 2025-3-26 23:06
Thomas Precession: The Missing Link,arts, the theory of groups and the theory of vector spaces. Readers who wish to start familiarizing themselves with the theory may, therefore, start reading this book from its second chapter and return to the first chapter only if and when their curiosity about the origin of the Thomas precession arises.作者: Robust 時間: 2025-3-27 03:22
The Ungar Gyrovector Space,ity through more than a single model. In this chapter we propose to study special relativity in terms of proper velocities, which are determined by proper time ., leading us to consider a new, interesting model of hyperbolic geometry.作者: Meditate 時間: 2025-3-27 07:40
Other Lorentz Groups,andard Lorentz group of special relativity theory, is presented in Chapter 10. In this chapter we will present a nonstandard Lorentz group, which is based on the Ungar gyrogroup of relativity velocities.作者: Implicit 時間: 2025-3-27 12:39 作者: chassis 時間: 2025-3-27 14:53 作者: monochromatic 時間: 2025-3-27 19:35 作者: 我不死扛 時間: 2025-3-28 01:42 作者: Adj異類的 時間: 2025-3-28 03:20
The Einstein Gyrovector Space,ctors are represented. We close the chapter with the observation that the unique hyperbolic ‘straight line’ called a geodesic, passing through two given points a, b ∈ V. is the set of all points .of V., t ∈ ?, ?.a = ?a, which is analogous to its counterpart in Euclidean analytic geometry.作者: 槍支 時間: 2025-3-28 09:23 作者: Headstrong 時間: 2025-3-28 12:40 作者: 險代理人 時間: 2025-3-28 17:31
Beyond the Einstein Addition Law and its Gyroscopic Thomas PrecessionThe Theory of Gyrogr作者: Liberate 時間: 2025-3-28 20:24
0168-1222 ing the role of hy- perbolic geometry in the special theory of relativity, initiated by Minkowski, by emphasizing the central role that hyperbolic geometry play978-0-7923-6910-3978-94-010-9122-0Series ISSN 0168-1222 Series E-ISSN 2365-6425 作者: Irritate 時間: 2025-3-29 01:09 作者: 不確定 時間: 2025-3-29 03:34
Thomas Precession: The Missing Link,y of gyrogroups and gyrovector spaces. The theory of gyrogroups and gyrovector spaces provides a most natural generalization of its classical counterparts, the theory of groups and the theory of vector spaces. Readers who wish to start familiarizing themselves with the theory may, therefore, start r作者: 鍵琴 時間: 2025-3-29 10:14 作者: Repetitions 時間: 2025-3-29 11:50
The Einstein Gyrovector Space,n turn, results in the emergence of the hyperbolic analytic geometry of the Einstein gyrovector space, which turns out to be the familiar Beltrami ball model of hyperbolic geometry. The ball V. is equipped with the coordinates it inherits from its real inner product space V, relative to which gyrove作者: 正面 時間: 2025-3-29 18:20
The Ungar Gyrovector Space,by coordinate velocities which, in turn, are determined by coordinate time .. It would be useful, however, to understand the special theory of relativity through more than a single model. In this chapter we propose to study special relativity in terms of proper velocities, which are determined by pr作者: BLANK 時間: 2025-3-29 19:46 作者: critic 時間: 2025-3-30 02:07
Gyrogeometry,n gives rise. We indicate in this chapter that gyrogeometry is the super geometry that naturally unifies Euclidean and hyperbolic geometry. The classical hyperbolic geometry of Bolyai and Lobachevski emerges in gyrogeometry with a companion, called cohyperbolic geometry.作者: 濃縮 時間: 2025-3-30 06:41
,Gyrooperations — The ,(2, ,) Approach,ion. Reading this chapter would be useful for readers who are familiar, or wish to familiarize themselves, with the standard .(2,.) formalism and its Pauli spin matrices, and who wish to see how these lead to gyrogroups and gyrovector spaces. Starting from the Pauli spin matrices and a brief descrip
