Results 21 to 30 of about 1,674,574 (315)
Growth rates of 3-dimensional hyperbolic Coxeter groups are Perron numbers [PDF]
Canadian mathematical bulletin, 2016 In this paper we consider the growth rates of 3-dimensional hyperbolic Coxeter polyhedra with at least one dihedral angle of the form $\frac{\pi }{k}$ for an integer $k\ge 7$ .
Tomoshige Yukita
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Chromatic numbers of hyperbolic surfaces [PDF]
Indiana University Mathematics Journal, 2016 24 pages, 12 ...
Hugo Parlier, Camille Petit
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Hyperbolic Numbers in Modeling Genetic Phenomena
, 2020 The article is devoted to applications of 2-dimensional hyperbolic numbers and their algebraic 2n-dimensional extensions in modeling some genetic and cultural phenomena. Mathematical properties of hyperbolic numbers and their bisymmetric matrix representations are described in a connection with their application to analyze the following structures ...
Sergey Petoukhov
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Law of large numbers for the largest component in a hyperbolic model of complex networks [PDF]
, 2016 We consider the component structure of a recent model of random graphs on the hyperbolic plane that was introduced by Krioukov et al. The model exhibits a power law degree sequence, small distances and clustering, features that are associated with the so-
Nikolaos Fountoulakis, Tobias Müller
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Hyperbolic Horadam hybrid functions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 The aim of this paper is to introduce the hybrid form of the hyperbolic Horadam function and to investigate some of its properties such as the generating function.
Efruz Özlem Mersin
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Algebraic Numbers, Hyperbolicity, and Density Modulo One
Journal of Number Theory, 2011 We prove the density of the sets of the form ${ _1^m _1^n _1 +...+ _k^m _k^n _k : m,n \in \mathbb N}$ modulo one, where $ _i$ and $ _i$ are multiplicatively independent algebraic numbers satisfying some additional assumptions. The proof is based on analysing dynamics of higher-rank actions on compact abelean groups.
Alexander Gorodnik, Shirali Kadyrov
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On dual hyperbolic generalized Fibonacci numbers
Indian Journal of Pure and Applied Mathematics, 2019 In this paper, we introduce the generalized dual hyperbolic Fibonacci numbers. As special cases, we deal with dual hyperbolic Fibonacci and dual hyperbolic Lucas numbers. We present Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan's, Cassini's, d'Ocagne's, Gelin-Cesàro's, Melham's
Y. Soykan
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Сучасні інформаційні системи, 2022 The goal of the work. Development of methods for performing basic arithmetic operations with interval complex numbers, which are presented in hyperbolic form, their modulus and argument. Results.
Svitlana Gadetska +3 more
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AIMS Mathematics, 2023 The aim of this paper is to introduce several degenerate hyperbolic functions as degenerate versions of the hyperbolic functions, to evaluate Volkenborn and the fermionic $ p $-adic integrals of the degenerate hyperbolic cosine and the degenerate ...
Taekyun Kim, Hye Kyung Kim , Dae San Kim
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A hyperbolic GCM Lie algebra and the Fibonacci numbers [PDF]
Proceedings of the American Mathematical Society, 1980 The Fibonacci numbers are found to be involved with the Weyl-Macdonald-Kac denominator formula for a certain rank 2 Generalized Cartan Matrix Lie algebra.
Alex J. Feingold
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