Results 261 to 270 of about 13,406 (301)

Hyperbolic double-complex numbers

AIP Conference Proceedings, 2009
The algebra of bicomplex numbers and the corresponding bicomplex holomorphic functions are well known ([1] and others). The hyperbolic bicomplex numbers were used by Dominic Rochon in different aspects (for instance [2]). The algebra of double‐complex numbers (in the sense of [3]) gives a parallel treatement closely related with the classical theory of
L. N. Apostolova, K. I. Krastev, B. Kiradjiev, George Venkov, Ralitza Kovacheva, Vesela Pasheva   +5 more
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The Hyperbolic Number Plane

The College Mathematics Journal, 1995
(1995). The Hyperbolic Number Plane. The College Mathematics Journal: Vol. 26, No. 4, pp. 268-280.
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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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Hyperbolic Lifts and Estimates for Overlap Numbers

Journal of Statistical Physics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hyperbolic Number Forms of the Euler-Savary Equation

International Electronic Journal of Geometry, 2022
This study deals with hyperbolic number forms of the Euler-Savary Equation (ESE) that find one of the four points on a pole ray, provided the other three are known. These hyperbolic number forms are examined under one-parameter planar hyperbolic motions that are examined according to the osculating circles contacting through three infinitesimally close
Duygu Çağlar, Nurten Gürses
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Gaussian, Parabolic, and Hyperbolic Numbers

The Mathematics Teacher, 1968
In the November 1966 issue of THE MATHEMATICS TEACHER, Willerding developed the structure of the “Gaussian integers.” Two number systems that have a parallel structure, but which are less well known, are the parabolic complex and hyperbolic Complex numbers.
William Miller, Rochelle Boehning
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Complex and Hyperbolic Numbers

2012
The complex numbers were grudgingly accepted by Renaissance mathematicians because of their utility in solving the cubic equation.1 Whereas the complex numbers were discovered primarily for algebraic reasons, they take on geometric significance when they are used to name points in the plane.
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Geometrical Representation of Hyperbolic Numbers

2011
A relevant property of Euclidean geometry is the Pythagorean distance between two points. From this definition the properties of analytical geometry follow. In a similar way the analytical geometry in Minkowski plane is introduced, starting from the invariant quantities of Special Relativity.
Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Paolo Zampetti   +4 more
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Hyperbolic Numbers, Genetics and Musicology

2020
The article is devoted to applications of 2-dimensional hyperbolic numbers and their algebraic extensions in the form of 2n-dimensional hyperbolic numbers in bioinformatics, algebraic biology and musicology. These applications reveal hidden interconnections between structures of different biological phenomena.
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On the Heesch number for the hyperbolic plane

Mathematical Notes, 2010
The article deals with the Heesch number on the hyperbolic (Lobachevski) plane. It is defined as the maximum possible order of a corona for a given polygon. It is shown that there exists a polygon with arbitrary Heesch number on the hyperbolic plane.
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