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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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(1995). The Hyperbolic Number Plane. The College Mathematics Journal: Vol. 26, No. 4, pp. 268-280.
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Gaussian, Parabolic, and Hyperbolic Numbers
The Mathematics Teacher, 1968In 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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Hyperbolic complex numbers and nonlinear sigma models
International Journal of Theoretical Physics, 1987We 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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Complex and Hyperbolic Numbers
2012The 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
2011A 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 +4 more
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The Hyperbolic Sieve of Prime Numbers
SSRN Electronic Journal, 2023We 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 Numbers, Genetics and Musicology
2020The 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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Hyperbolic Lifts and Estimates for Overlap Numbers
Journal of Statistical Physics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Dual Hyperbolic Numbers and the Complex Hyperbolic Numbers
Journal of Computer Science & Computational Mathematics, 2018Şahin, Serdal +2 more
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On Third Order Hyperbolic Jacobsthal Numbers
2021In this paper, we introduce the hyperbolic third order Jacobsthal and Jacobsthal-Lucas numbers and we present recurrence relations, Binet's formulas, generating functions and the summation formulas for these numbers.
DİKMEN, Can Murat, ALTINSOY, Mustafa
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