Results 61 to 70 of about 423,443 (325)
Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras
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
doaj +1 more source
Abstract Background This study aims to develop a novel predictive model for determining human papillomavirus (HPV) presence in oropharyngeal cancer using computed tomography (CT). Current image‐based HPV prediction methods are hindered by high computational demands or suboptimal performance.
Junhua Chen+3 more
wiley +1 more source
On Transcendental Numbers: New Results and a Little History
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
doaj +1 more source
Six-Dimensional Space with Symmetric Signature and Some Properties of Elementary Particles
The six-dimensional pseudo-Euclidean space E3,3 with signature (3,3) is proposed as a model of real physical space at the subparticle scale. The conserved quantum characteristics of elementary particles, such as spin, isospin, electric and baryon charges,
Nikolay Popov, Ivan Matveev
doaj +1 more source
In this paper, we introduce the Hyperbolic Jacobsthal numbers and we present recurrence relations, Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we investgate Lorentzian inner product for the hyperbolic Jacobsthal vectors.
openaire +3 more sources
Hyperbolic Heron Triangles and Elliptic Curves [PDF]
We define hyperbolic Heron triangles (hyperbolic triangles with "rational" side-lengths and area) and parametrize them in two ways as rational points of certain elliptic curves. We show that there are infinitely many hyperbolic Heron triangles with one angle $\alpha$ and area $A$ for any (admissible) choice of $\alpha$ and $A$; in particular, the ...
arxiv
Abstract Objectives An increasing body of evidence indicates altered DNA methylation in Parkinson's disease, yet the reproducibility and utility of such methylation changes are largely unexplored. We aimed to further elucidate the role of dysregulated DNA methylation in Parkinson's disease and to evaluate the biomarker potential of methylation‐based ...
Ingeborg Haugesag Lie+4 more
wiley +1 more source
ABSTRACT Objective Post‐discharge management and outcomes of acute symptomatic seizures (ASyS) remain underexplored. We analyzed post‐discharge ASM management and outcomes in ASyS patients undergoing continuous EEG (cEEG), including the role of outpatient care through a post‐acute symptomatic seizure (PASS) clinic. Methods We performed a single‐center,
Vineet Punia+10 more
wiley +1 more source
A triangular field of rational numbers related to Stirling numbers and Hyperbolic functions [PDF]
A triangular field of rational numbers is characterized, with relations to Stirling numbers 2nd, Hyperbolic functions, and centered Binomial distribution. A Generating function is given.
arxiv
Juvenile Idiopathic Arthritis, Earnings, and Work Loss: A Nationwide Matched Cohort Study
Objective This study compares trajectories of earnings and work loss in individuals with juvenile idiopathic arthritis (JIA) versus matched comparators from the general population. Methods Patients with JIA (n = 4,737) were identified in the Swedish National Patient Register (2001–2017) and individually matched to up to five general population ...
Heather Miller+4 more
wiley +1 more source