Results 21 to 30 of about 157,678 (311)
Introduction to Third-Order Jacobsthal and Modified Third-Order Jacobsthal Hybrinomials
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper, we introduce and study the third-order Jacobsthal and modified third-order Jacobsthal hybrinomials, i.e., polynomials, which are a generalization of the ...
Cerda-Morales Gamaliel
doaj +1 more source
Hyperbolic numbers as Einstein numbers
Abstract In the special theory of relativity (SR) it is usual to highlight so-called paradoxes. One of these paradoxes is the formal appearance of speed values grater then the light speed. In this paper we show that most of these paradoxes arise due to the incompleteness of relativistic calculus over velocities.
Kulyabov D.S. +2 more
openaire +2 more sources
Jacobsthal Representation Hybrinomials
Jacobsthal numbers are a special case of numbers defined recursively by the second order linear relation and for these reasons they are also named as numbers of the Fibonacci type.
Liana Mirosław +2 more
doaj +1 more source
Hybrid hyper-Fibonacci and hyper-Lucas numbers [PDF]
Different number systems have been studied lately. Recently, many researchers have considered the hybrid numbers which are generalization of the complex, hyperbolic and dual number systems.
Yasemin Alp
doaj +1 more source
A Study on Fibonacci and Lucas Bihypernomials
The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce and study the Fibonacci and Lucas bihypernomials, i.e., polynomials, which are a generalization of the bihyperbolic Fibonacci numbers and the ...
Szynal-Liana Anetta, Włoch Iwona
doaj +1 more source
Quantum Chromodynamics and the Hyperbolic Unitary Group SUh(3)
The paper shows that it is possible to construct quantum chromodynamics as a rigorous theory on the basis of employment of hyperbolic unitary group SUh(3), which is a symmetry group for the three-dimensional complex space of the hyperbolic type.
Nikolay Popov, Ivan Matveev
doaj +1 more source
On Special Spacelike Hybrid Numbers
Hybrid numbers are generalizations of complex, hyperbolic and dual numbers. A hyperbolic complex structure is frequently used in both pure mathematics and numerous areas of physics.
Anetta Szynal-Liana, Iwona Włoch
doaj +1 more source
Relativistic quantum physics with hyperbolic numbers [PDF]
17 pages ...
S. Ulrych
openalex +5 more sources
On Leonardo Pisano Hybrinomials
A generalization of complex, dual, and hyperbolic numbers has recently been defined as hybrid numbers. In this study, using the Leonardo Pisano numbers and hybrid numbers we investigate Leonardo Pisano polynomials and hybrinomials.
Ferhat Kürüz +2 more
doaj +1 more source
Non-representable hyperbolic matroids [PDF]
The generalized Lax conjecture asserts that each hyperbolicity cone is a linear slice of the cone of positive semidefinite matrices. Hyperbolic polynomials give rise to a class of (hyperbolic) matroids which properly contains the class of matroids ...
Nima Amini, Petter Branden
doaj +1 more source

