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Introducing High School Students to the Mystery of Lobachevsky Geometry
International Journal of Modern Education and Computer ScienceThis article primarily aims to introduce high school students to the mystery of Lobachevsky geometry, one of the cornerstones of non-Euclidean geometries. Lobachevsky geometry, often known as hyperbolic geometry, differs from Euclidean geometry in several basic ways. The concepts and figures of Lobachevsky geometry can appear in different plane models,
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Comparative Analysis OF Euclid, Lobachevsky AND Rieman Geometries
This article is devoted to solving some geometric problems in Lobachevsky geometry, in particular, finding the distance between two points in the Lobachevsky plane, its parametric representation.
N, S. O. (Shamsiyeva) +2 more
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, 2020 87-91В работе на основе новых документов обсуждается история вопроса о взаимоотношениях Лобачевского и Гаусса, избрания Лобачевского членом-корреспондентом Гёттингенского научного общества.The paper discusses the history of the question of the ...
Гильмуллин М.Ф.
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A Monoblock Light-Scattering Milk Fat Percentage and Somatic Cell Count Sensor for Use in Milking Systems. [PDF]
Sensors (Basel), 2023 Shkirin AV +8 more
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Stark Effect in the Lobachevsky Space
, 2012 A possibility to define an analog of a uniform electric field in the Lobachevsky space is considered. Schrödinger equation for the hydrogen atom in this electric field is separated and Stark shifts of energy levels are ...
Otchik, V., Kurochkin, Yu.
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Algebraic Geometry Approach in Theories with Extra Dimensions I. Application of Lobachevsky Geometry
, 2008 25 pages; no figures; this is a part of the former hep-th/0511136, but supplemented with an Appendix about the algebraic geometry approach in gravity theory; also some other minor changes in the text and in the formulae enumeration; subm. to Gen.
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Greedy embeddings, trees, and euclidean vs. lobachevsky geometry
, 2006 A greedy embedding of an unweighted undirected graph G = (V, E) into a metric space (X, ρ) is a function f: V → X such that for every source-sink pair of different vertices s, t ∈ V it is the case that s has a neighbor v in G with ρ(f(v), f(t)) < ρ(f ...
Petar Maymounkov
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, 2020 122-125Статья посвящена истории сохранения наследия Н.И. Лобачевского казанскими математиками и истории создания музея Н.И. Лобачевского в Казанском университете.The article is devoted to the history of heritage preservation N.
Широкова О.А.
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A Gyrovector Space Approach to Hyperbolic Geometry
, 2009 The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of ...
Ungar, Abraham
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A manifold of pure Gibbs states of the Ising model on the Lobachevsky plane
, 2015 25 pages, 7 figuresIn this paper we construct many 'new' Gibbs states of the Ising model on the Lobachevsky plane, the millefeuilles. Unlike the usual states on the integer lattices, our foliated states have infinitely many interfaces. The interfaces are
Gandolfo, Daniel +2 more
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