Results 281 to 290 of about 1,694,233 (308)

On the Dual Hyperbolic Numbers and the Complex Hyperbolic Numbers

Journal of Computer Science & Computational Mathematics, 2018
M. Akar, S. Yüce, Serdal Şahin
semanticscholar   +3 more sources

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.
W. A. Miller, R. Boehning
semanticscholar   +2 more sources

Hyperbolic Congruent Numbers

Quaestiones Mathematicae, 2020
AbstractWe introduce the notion of hyperbolic congruent numbers which is a hyperbolic analogue of congruent numbers, and investigate the relations between congruent numbers and hyperbolic congruent...
Injo Hur, Jang Hyun Jo
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n-Dimensional hyperbolic complex numbers

Advances in Applied Clifford Algebras, 1998
In this contribution is deduced a generalisation of the 2-dimensional complex number system. The construction of a hyperbolic basis is one of the main topics in this paper. By the aid of this basis the authors succeed in a nice description of an \(n\)-dimensional direct product ring of reals.
Fjelstad, Paul, Gal, Sorin G.
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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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Hyperbolic complex numbers and nonlinear sigma models

International Journal of Theoretical Physics, 1987
We show that the hyperbolic complex numbers or double numbers can be used to generate solutions of two-dimensional Minkowskian sigma models with values on noncompact manifolds.
Lambert, Dominique, TOMBAL,, Philippe
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On dual hyperbolic numbers with generalized Jacobsthal numbers components

Indian journal of pure and applied mathematics, 2022
Y. Soykan, E. Taşdemir, Inci Okumuş
semanticscholar   +1 more source

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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Topics surrounding the combinatorial anabelian geometry of hyperbolic curves III: Tripods and tempered fundamental groups

Kyoto Journal of Mathematics
Let Σ be a subset of the set of prime numbers which is either equal to the entire set of prime numbers or of cardinal- ity one. In the present paper, we continue our study of the pro-Σ fundamental groups of hyperbolic curves and their associated con ...
Yuichiro Hoshi, S. Mochizuki
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