Results 51 to 60 of about 1,025,793 (179)

Lobachevsky crystallography made real through carbon pseudospheres

, 2016
We realize Lobachevsky geometry in a simulation lab, by producing a carbon-based energetically stable molecular structure, arranged in the shape of a Beltrami pseudosphere.
Taioli, Simone, Iorio, Alfredo, Pugno, Nicola Maria, Gabbrielli, Ruggero, Simonucci, Stefano   +4 more
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The Imaginary Sirius of a Ridiculous Man: The Possibility of Multiple Worlds in the Later Works of Fyodor Dostoevsky

RUDN Journal of Studies in Literature and Journalism
This article explores the circulation of the idea of multiple worlds as it unfolds within the creative universe of F.M. Dostoevsky. The relevance of the study lies in the interpretive complexity of The Dream of a Ridiculous Man, particularly in the ...
Maksim V. Ganin
doaj   +1 more source

Symmetric monochromatic subsets in colorings of the Lobachevsky plane [PDF]

, 2010
CombinatoricsInternational audienceWe prove that for each partition of the Lobachevsky plane into finitely many Borel pieces one of the cells of the partition contains an unbounded centrally symmetric ...
Artem Dudko, Repovs, Dusan, Taras Banakh, Dudko, Artem, Banakh, Taras, Dusan Repovs   +5 more
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Quasinormal modes of three $$(2+1)$$ ( 2 + 1 ) -dimensional black holes in string theory, conformal gravity, and Hu–Sawicki F(R) theory via the Heun function

European Physical Journal C: Particles and Fields
We study the propagation of massless fermionic fields, implementing a family of special functions: Heun functions, in solving the wave equation in three three-dimensional backgrounds, including the BTZ black hole in string theory and Lifshitz black hole ...
F. Naderi, A. Rezaei-Aghdam
doaj   +1 more source

Связь между объемом и площадью шаров в геометрии Гильберта

, 2008
We show that the spheres in the Hilbert geometry have the same volume growth rate as those in the Lobachevsky space. We give the asymptotic estimates for the ratio of the volume of a metric ball to the area of a metric sphere in the Hilbert geometry. The
Борисенко, А.А., Олин, Е.А.   +1 more
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On Simulating a Medium with Special Reflecting Properties by Lobachevsky Geometry

, 2013
Lobachevsky geometry simulates a medium with special constitutive relations, Di = ϵ0ϵ ikEk ,Bi = μ0μikHk where two matrices coincide: ϵik(x) = μik(x). The situation is specified in quasi-cartesian coordinates (x, y, z).
Veko, O. V., Ovsiyuk, E. M., Red’kov, V. M.   +2 more
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Hyperbolic geometry and applications [PDF]

, 2019
Durante centenas de anos vários matemáticos se debruçaram sobre o problema de obter o postulado 5 de Euclides (ou postulado das paralelas) a partir dos demais. János Bolyai (1802-1860) e Nikolai Lobachevsky (1792-1856) descobriram, indepen- dentemente,
Batista, Pollyanna Débora da Silva
core  

Triangles in Hyperbolic Geometry

, 2014
Euclid introduced five postulates as the fundamentals for the study of geometry. Over time his fifth postulate has been singled out as the most controversial. In fact, mathematicians have attempted unsuccessfully to prove this postulate, aka the parallel
Nguyen, Thao Thanh
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Lobachevsky's Views of Geometry

102 pages, 2 ...
openaire   +2 more sources

The Mathematics of Harmony, Hilbert’s Fourth Problem and Lobachevski’s New Geometries for Physical World

Journal of Applied Mathematics and Physics, 2014
We suggest an original approach to Lobachevski’s geometry and Hilbert’s Fourth Problem, based on the use of the “mathematics of harmony” and special class of hyperbolic functions, the so-called hyperbolic Fibonacci l-functions, which are based on the ancient “golden proportion” and its generalization, Spinadel’s “metallic proportions.” The ...
Alexey Stakhov, Samuil Aranson
openaire   +2 more sources