Results 61 to 70 of about 1,674,574 (315)
Hyperbolic Numbers in Modeling Genetic Phenomena
, 2019 The article is devoted to applications of 2-dimensional hyperbolic numbers and their algebraic 2n-dimensional extensions in modeling some genetic and cultural phenomena.
S. Petoukhov
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The Hyperbolic Sieve of Prime Numbers
SSRN Electronic Journal, 2023 We start this study producing the HL - Hyperbolic Lattice Grid in the form of HL[x,y]=x*y. Then we show that the SMT – Square Multiplication Table is the result of the integer coordinates of the HL - Hyperbolic Lattice Grid in the form of HL[x,y]=x*y, in the first quadrant. From the SMT we define the SMTSP – Square Multiplication Table Sieve of Primes.
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Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications
Applied Mathematics in Science and Engineering, 2023 The paper has two main objectives. Firstly, it explores the properties of hyperbolic cosine and hyperbolic sine functions by using Volkenborn and the fermionic p-adic integrals, respectively.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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STATISTICAL CONVERGENCE IN A BICOMPLEX VALUED METRIC SPACE
Ural Mathematical Journal, 2023 In this paper, we study some basic properties of bicomplex numbers. We introduce two different types of partial order relations on bicomplex numbers, discuss bicomplex valued metric spaces with respect to two different partial orders, and compare them ...
Subhajit Bera, Binod Chandra Tripathy
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Experimental evidence for the Volume Conjecture for the simplest hyperbolic non-2-bridge knot
, 2005 Loosely speaking, the Volume Conjecture states that the limit of the n-th colored Jones polynomial of a hyperbolic knot, evaluated at the primitive complex n-th root of unity is a sequence of complex numbers that grows exponentially.
Bailey +7 more
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A combined approach to Perrin and Padovan hybrid sequences
Heliyon, 2021 Recently, there has been huge interest to a new numeric set, which brings together three numerical systems: complex, hyperbolic and dual numbers, called as hybrid number.
Seyyed H. Jafari Petroudi +3 more
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De Moivre’s and Euler Formulas for Matrices of Hybrid Numbers
Axioms, 2021 It is known that the hybrid numbers are generalizations of complex, hyperbolic and dual numbers. Recently, they have attracted the attention of many scientists.
Mücahit Akbıyık +3 more
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Derivatives of tangent function and tangent numbers
, 2015 In the paper, by induction, the Fa\`a di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher order derivatives of the tangent and cotangent functions as well as powers of the sine and ...
Bourbaki +37 more
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A Study on Dual-Generalized Complex and Hyperbolic-Generalized Complex Numbers
, 2020 This work is intended to introduce the theories of dual-generalized complex and hyperbolicgeneralized complex numbers. The algebraic properties of these numbers are taken into consideration.
N. Gürses, G. Y. Şentürk, S. Yüce
semanticscholar +1 more source
On the Betti numbers of a hyperbolic manifold
Geometric and Functional Analysis, 1992 Let \(\Gamma\) be an arithmetic lattice in \(SO(n,1)\). If \(\Gamma\) is commensurable with the group of units of a quadratic form over a totally real field which has signature \((n,1)\) at one real place and is anisotropic at the remaining real places then it is shown in [\textit{J. J. Millson}, Ann. Math., II. Ser. 104, 235-247 (1976; Zbl 0364.53020)]
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