Results 81 to 90 of about 1,674,574 (315)
Topologies of Bihyperbolic Numbers
Mathematics, 2022 In this paper, we establish a correlation between the bihyperbolic numbers set and the semi-Euclidean space. There are three different norms on the semi-Euclidean space that allow us to define three different hypersurfaces on semi-Euclidean space. Hence,
Ana Savić +3 more
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Quintessence and phantom emerging from the split-complex field and the split-quaternion field
, 2015 Motivated by the mathematic theory of split-complex numbers (or hyperbolic numbers, also perplex numbers) and the split-quaternion numbers (or coquaternion numbers), we define the notion of split-complex scalar field and the split-quaternion scalar field.
Chen, Xuelei +2 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Poststroke fatigue (PSF) and frailty share substantial overlap in their manifestations, yet previous research has yielded conflicting results due to the use of heterogeneous frailty assessment tools. Objective To evaluate the independent impact of frailty on PSF using a unified measurement system (Tilburg Frailty Indicator, TFI ...
Chuan‐Bang Chen +6 more
wiley +1 more source
Arthritis Care &Research, EarlyView.Objective Systemic sclerosis (SSc) is a rare autoimmune disease characterized by tissue fibrosis, vasculopathy, and immune dysregulation. Our objectives were to quantify the overall and site‐specific cancer risks in patients with SSc compared to the general population, examine temporal trends in cancer incidence following SSc diagnosis, and explore ...
Jihyun Na +4 more
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New summation identities of hyperbolic k-Fibonacci and k-Lucas quaternions [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce a set of identities involving hyperbolic k-Fibonacci quaternions and k-Lucas quaternions. Moreover, we derive summation identities for hyperbolic k-Fibonacci and k-Lucas quaternions by utilizing established properties of k ...
A. D. Godase
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Bicomplex Quantum Mechanics: II. The Hilbert Space
, 2005 Using the bicomplex numbers $\mathbb{T}$ which is a commutative ring with zero divisors defined by $\mathbb{T}=\{w_0 + w_1 i_1 + w_2 i_2 + w_3 j | w_0, w_1, w_2, w_3 \in \mathbb{R}\}$ where $i_{1}^{2} = -1, i_{2}^{2} = -1, j^2 = 1, i_1 i_2 = j = i_2 i_1$,
Rochon, Dominic, Tremblay, Sebastien
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Arthritis Care &Research, Accepted Article.Objective This study examined the global and regional temporal changes in cross‐country inequalities of site‐specific osteoarthritis (OA) burden from 1990 to 2021. Methods Age‐standardized years lived with disability rate for site‐specific OA across 204 countries/territories were obtained from the Global Burden of Diseases Study (GBD) 2021.
Haowei Chen +14 more
wiley +1 more source
On Transcendental Numbers: New Results and a Little History
Axioms, 2018 Bringing toghether mathematical and philosophical ideas related to transcendental numbers, this paper begins with a survey on transcendence and transcendental numbers, it then presents several properties of the transcendental numbers e and π , and ...
Solomon Marcus, Florin F. Nichita
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Arthritis Care &Research, Accepted Article.Objective The aim of this systematic review was to synthesise the economic impact of rheumatoid arthritis (RA) on households, health systems, and society in low‐ and middle‐income countries (LMICs). Methods Electronic databases such as PubMed, Web of Science, and CINAHL were searched using keywords related to RA and cost of illness.
Tadesse Gebrye +6 more
wiley +1 more source
Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras
Nonlinear Analysis, 2022 The aim of the paper is to give a uniform picture of complex, hyperbolic, and quaternion algebras from a perspective of the applied Clifford geometric algebra.
Adolfas Dargys, Artūras Acus
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