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標(biāo)題: Titlebook: Classical Geometries in Modern Contexts; Geometry of Real Inn Walter Benz Book 20072nd edition Birkh?user Basel 2007 Classical geometry.Fin [打印本頁(yè)]

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作者: Dawdle    時(shí)間: 2025-3-21 23:45

作者: 枯燥    時(shí)間: 2025-3-22 01:15
Book 20072nd edition(general) translations and general distances of X, euclidean and hyperbolic geometries are characterized. For these spaces X also the sphere geometries of M?bius and Lie are studied (besides euclidean and hyperbolic geometry), as well as geometries where Lorentz transformations play the key role. Th
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作者: Cubicle    時(shí)間: 2025-3-22 21:07
Translation Groups,hers we shall use later on, see the section . of this book. Instead of . (.) we will write . or, occasionally, .. The laws above are then the following: . for all . ∈ ., λ ∈ ?, and .:= . > 0 for all . ∈ .{0}. Instead of (.) we mostly will speak of ., hence tacitly assuming that . is equipped with a
作者: 我沒(méi)有強(qiáng)迫    時(shí)間: 2025-3-23 00:51
-Projective Mappings, Isomorphism Theorems, we do not exclude the case that there exist infinite linearly independent subsets of . or .. One of the important results of this chapter is that the hyperbolic geometries (.(.)), (.(.)) over . = (.), . = (.), respectively, . the group of hyperbolic motions, are isomorphic (see p. 16f) if, and only
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作者: faculty    時(shí)間: 2025-3-23 08:47

作者: 斷言    時(shí)間: 2025-3-23 10:32
Tiziana Banini,Oana-Ramona IlovanAlso in this chapter . denotes a real inner product space of arbitrary (finite or infinite) dimension ≥ 2.
作者: 扔掉掐死你    時(shí)間: 2025-3-23 16:25

作者: 步兵    時(shí)間: 2025-3-23 18:51
Euclidean and Hyperbolic Geometry, designates again an arbitrary real inner product space containing two linearly independent elements. As throughout the whole book, we do not exclude the case that there exists an infinite and linearly independent subset of ..
作者: 原始    時(shí)間: 2025-3-24 01:00
,Sphere Geometries of M?bius and Lie,Also in this chapter . denotes a real inner product space of arbitrary (finite or infinite) dimension ≥ 2.
作者: coltish    時(shí)間: 2025-3-24 05:54
Lorentz Transformations,As in the chapters before, . denotes a real inner product space of arbitrary (finite or infinite) dimension ≥ 2.
作者: 浮夸    時(shí)間: 2025-3-24 09:38
https://doi.org/10.1007/978-3-7643-8541-5Classical geometry; Finite; Hyperbolic geometry; Inner product space; Lie; Lorentz transformation; Natural
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作者: mighty    時(shí)間: 2025-3-24 17:55
Walter BenzDimension-free presentation.Inclusion of proofs of newer theorems characterizing isometries and Lorentz transformations under mild hypotheses.Common presentation for finite and infinite dimensional re
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