Results 41 to 50 of about 13,406 (301)
An analogue of Bauer’s theorem for closed orbits of skew products [PDF]
, 2008 In this article we prove an analogue of Bauer’s theorem from algebraic number theory in the context of hyperbolic ...
Mark Pollicott +3 more
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Matrices with Hyperbolic Number Entries
Turkish Journal of Mathematics and Computer Science, 2022 In this study, firstly, we will present some properties of hyperbolic numbers. Then, we will introduce hyperbolic matrices, which are matrices with hyperbolic number entries. Additionally, we will examine the algebraic properties of these matrices and reveal its difference from other matrix structures such as real, dual, and complex matrices.
Ferhat KURUZ, Ali DAĞDEVİREN
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On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
Annales Mathematicae Silesianae, 2019 The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
Szynal-Liana Anetta, Włoch Iwona
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, 2021 We 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 numbers.Key words: Congruent number, elliptic curve, hyperbolic ...
Jo, Jang Hyun, Hur, Injo
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STATISTICAL CONVERGENCE IN A BICOMPLEX VALUED METRIC SPACE
Ural Mathematical Journal, 2023 In this paper, we study some basic properties of bicomplex numbers. We introduce two different types of partial order relations on bicomplex numbers, discuss bicomplex valued metric spaces with respect to two different partial orders, and compare them ...
Subhajit Bera, Binod Chandra Tripathy
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Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications
Applied Mathematics in Science and Engineering, 2023 The paper has two main objectives. Firstly, it explores the properties of hyperbolic cosine and hyperbolic sine functions by using Volkenborn and the fermionic p-adic integrals, respectively.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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A combined approach to Perrin and Padovan hybrid sequences
Heliyon, 2021 Recently, there has been huge interest to a new numeric set, which brings together three numerical systems: complex, hyperbolic and dual numbers, called as hybrid number.
Seyyed H. Jafari Petroudi +3 more
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De Moivre’s and Euler Formulas for Matrices of Hybrid Numbers
Axioms, 2021 It is known that the hybrid numbers are generalizations of complex, hyperbolic and dual numbers. Recently, they have attracted the attention of many scientists.
Mücahit Akbıyık +3 more
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Representations of Clifford Algebras with Hyperbolic Numbers [PDF]
Advances in Applied Clifford Algebras, 2007 The representations of Clifford algebras and their involutions and anti-involutions are fully investigated since decades. However, these representations do sometimes not comply with usual conventions within physics. A few simple examples are presented, which point out that the hyperbolic numbers can close this gap.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Wilms tumor (WT) treatment imposes a significant time burden on patients and their families. Time toxicity is a patient‐centered metric that quantifies the burden of healthcare interaction. We sought to define time toxicity in the first year after diagnosis of WT and hypothesized that it would increase as tumor stage and treatment ...
Caleb Q. Ashbrook +6 more
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