Results 71 to 80 of about 156,745 (293)
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
core +3 more sources
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
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
doaj +1 more source
Barycenters and a law of large numbers in Gromov hyperbolic spaces [PDF]
, 2022 Shin‐ichi Ohta
openalex +1 more source
Use of Symptomatic Drug Treatment for Fatigue in Multiple Sclerosis and Patterns of Work Loss
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To describe the use of central stimulants and amantadine for fatigue in MS and evaluate a potential association with reduced work loss in people with MS. Methods We conducted a nationwide, matched, register‐based cohort study in Sweden (2006 to 2023) using national registers with prospective data collection.
Simon Englund +3 more
wiley +1 more source
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
core +1 more source
Functional Connectivity Linked to Cognitive Recovery After Minor Stroke
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Patients with minor stroke exhibit slowed processing speed and generalized alterations in functional connectivity involving frontoparietal cortex (FPC). The pattern of connectivity evolves over time. In this study, we examine the relationship of functional connectivity patterns to cognitive performance, to determine ...
Vrishab Commuri +7 more
wiley +1 more source
Several expressions for moments of sums of hyperbolic secant random variables
Electronic Research ArchiveIn this paper, we find several expressions for the moments of the hyperbolic secant distribution and the moments of the sum of two independent distributions.
Taekyun Kim, Dae San Kim
doaj +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
doaj +1 more source
Bayesian Estimation Improves Prediction of Outcomes After Epilepsy Surgery
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT We estimated the statistical power of studies predicting seizure freedom after epilepsy surgery. We extracted data from a Cochrane meta‐analysis. The median power across all studies was 14%. Studies with a median sample size or less (n ≤ 56) and a statistically significant result exaggerated the true effect size by a factor of 5.4, while the ...
Adam S. Dickey +4 more
wiley +1 more source