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Ohne ZusammenfassungHerrnHellmuth Kneser zum 60. Geburtstag  相似文献   

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Ohne ZusammenfassungÜber diesen Gegenstand habe ich zum ersten Mal im November 1943 in Bukarest und Timisoara Vorträge gehalten.  相似文献   

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Among the classes of models which demonstrate the independence of Hilbert's axioms of spatial affine geometry there is one which is structurally interesting also in its own right. Its models represent the spaces in which not all triples of non-collinear points lie in a unique plane. Barring some entirely trivial variations 39 models exist. They all are finite, and each of their lines is incident with exactly two points. It turns out that 37 of the models are isomorphic to the 37 non-empty, triangle-free graphs with six vertices. The collection of these graphs exhibits a so far unexplained symmetry property.  相似文献   

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A characterisation of those (B*G)-Geometries (in the sense of Benz) is given, which can be constructed with the help of nearfields F, char F 2, in which the multiplicative group F*(·) has a subgroup A with index [F*:A]=2.

Werner Burau zum 70. Geburtstag gewidmet  相似文献   

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There are considered discontinuous motion groups — in a very weak sense — of a pseudoeuclidean plane. A motion groupG is to be said (8)-discrete, if there can be found a nontrivial orbit G(P) and a Minkovskian circle diskU which contains only a finite number of elements of G(P). Such groups will be divided after their subgroup of translations, necessary and sufficient conditions for the translations will be given as same as — to a certain extent — a classification of (8)-discrete groups.

Herrn Professor Benno Klotzek zum 60. Geburtstag gewidmet  相似文献   

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In this paper there are studied kinematics in the isotropic plane. We shall investigate fundamental properties of the pointpaths, develope a formula analog to the wellknown formula of Euler — Savary and study special motions: An isotropic elliptic motion and an isotropic four — bar — motion.  相似文献   

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Ohne ZusammenfassungVorgelegt vonG. Hajós  相似文献   

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