Results 1 to 10 of about 132,757 (287)
Applied Sciences, 2022 For dimensions two, three and four, we derive hyperbolic complex algebraic structures on the basis of suitably defined vector products and powers which allow in a standard way a series definitions of the hyperbolic vector exponential function.
Wolf-Dieter Richter
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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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Implementation of hyperbolic complex numbers in Julia language [PDF]
Discrete and Continuous Models and Applied Computational Science, 2022 Hyperbolic complex numbers are used in the description of hyperbolic spaces. One of the well-known examples of such spaces is the Minkowski space, which plays a leading role in the problems of the special theory of relativity and electrodynamics. However,
Anna V. Korolkova +2 more
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Julia and Mandelbrot Sets for Dynamics over the Hyperbolic Numbers [PDF]
Fractal and Fractional, 2019 Julia and Mandelbrot sets, which characterize bounded orbits in dynamical systems over the complex numbers, are classic examples of fractal sets. We investigate the analogs of these sets for dynamical systems over the hyperbolic numbers.
Vance Blankers +3 more
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Law of large numbers for the largest component in a hyperbolic model of complex networks [PDF]
The Annals of Applied Probability, 2018 35 pages, 7 ...
Fountoulakis, Nikolaos, Müller, Tobias
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The Solution of the Wave Equation in the Class of Complex Numbers by Introducing Hyperbolic Coordinates [PDF]
International Journal of Applied Mathematics and Theoretical Physics, 2018 The finding of the solution of the wave equation, formulated as the Cauchy problem, does not exhaust all possibilities of the theory. The attempt to examine that one by admitting that the time is an imaginary value is made. So the new curvilinear coordinates, named hyperbolic, are introduced in consideration.
Y. E. Khoroshavtsev
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The Interpretation of Complex Number Analysis by Hyperbolic Function
INTERANTIONAL JOURNAL OF SCIENTIFIC RESEARCH IN ENGINEERING AND MANAGEMENTThis work is intended to introduce the problem of complex and hyperbolic generalized complex numbers by easiest manner. The properties of the algebra are considered for this solution. Besides complex and hyperbolic-generalized complex valued functions are defined and different equation representations of these numbers are examined.
Manoj P Khere
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On ratios of Chern numbers for complex hyperbolic branched covers
Proceedings of the American Mathematical SocietyIn this paper we prove that, at least in even complex dimensions, the ratio of Chern numbers for a closed complex hyperbolic branched cover manifold are not all equal to the corresponding ratio of Chern numbers for a closed complex hyperbolic manifold.
Barry Minemyer
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Community detection in hypergraphs through hyperedge percolation [PDF]
Scientific ReportsComplex networks often exhibit community structure, with communities corresponding to denser subgraphs in which nodes are closely linked. When modelling systems where interactions extend beyond node pairs to arbitrary numbers of nodes, hypergraphs become
Bianka Kovács +2 more
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Transformation of Trigonometric Functions into Hyperbolic Functions Based on Cable Statics
Applied SciencesTrigonometric functions are widely used to express relationships between the sides and angles of triangles, being fundamental in a wide variety of fields in science and engineering.
Julian Garcia-Guarin
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