Results 281 to 290 of about 157,678 (311)
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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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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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Hyperbolic metamaterials: fusing artificial structures to natural 2D materials
ELight, 2022Dasol Lee, Sunae So, Guangwei Hu
exaly
On dual hyperbolic numbers with generalized Jacobsthal numbers components
Indian Journal of Pure and Applied Mathematics, 2022Yüksel Soykan, Erkan Taşdemir
exaly