Results 111 to 120 of about 46,123 (300)

A variation on bisecting the binomial coefficients [PDF]

Discrete Applied Mathematics, 2018
14 pages, four tables, two ...
openaire   +2 more sources

Series associated with harmonic numbers, Fibonacci numbers and central binomial coefficients $binom{2n}{n}$ [PDF]

Notes on Number Theory and Discrete Mathematics
We find various series that involve the central binomial coefficients $binom{2n}{n}$, harmonic numbers and Fibonacci numbers. Contrary to the traditional hypergeometric function _pF_q approach, our method utilizes a straightforward transformation to ...
Segun Olofin Akerele, Olamide Esther Salami   +1 more
doaj   +1 more source

Alzheimer's Disease Co‐Pathology and Cognitive Impairment in Amyotrophic Lateral Sclerosis

Annals of Neurology, EarlyView.
Objectives Amyotrophic lateral sclerosis (ALS) and Alzheimer's disease (AD) share neuropathological features, including tau, amyloid, and TDP‐43 pathology. This study investigated whether AD‐related pathological changes are associated with cognitive impairment ALS. Methods Cerebrospinal fluid (CSF total‐tau, phosphorylated‐tau, beta‐amyloid) and plasma
Elisabeth Kasper, Annaliis Lehto, Alexandra Jürs, Nina Nordmann, Oliver Peters, Julian Hellmann, Josef Priller, Eike Jakob Spruth, Gabor C. Petzold, Ina Voigt, Patrick Weydt, Sarah Bernsen, Elisabeth Dinter, Björn Falkenburger, René Günther, Emrah Düzel, Wenzel Glanz, Matthis Synofzik, Lukas Beichert, Annika Spottke, Michael Wagner, Frederic Brosseron, Matthias C. Schmid, Annett Halle, Jochen Herms, Anja Schneider, Stefan Teipel, Johannes Prudlo, Manuela Neumann, Andreas Hermann   +29 more
wiley   +1 more source

Gauss Sums and Binomial Coefficients

Journal of Number Theory, 2002
Let \(p= tn+r\) be a prime which splits in \(\mathbb{Q}(\sqrt{-t})\) where \(t\) has one of the following forms \[ \begin{aligned} t= k>3 &\;\text{ for a prime } k\equiv 3\pmod 4,\\ t= 4k &\;\text{ for a prime } k\equiv 1\pmod 4,\\ t= 8k &\;\text{ for an odd prime } k.
Lee, DH, Hahn, SG Hahn, Sang-Geun
openaire   +2 more sources

Auditory Stimulation of Slow‐Wave Sleep Promotes Recovery after Brain Injury in an Animal Model

Annals of Neurology, EarlyView.
Objective Traumatic brain injury (TBI) significantly reduces the quality of life for millions of survivors worldwide, causing persistent brain tissue damage and cognitive impairments, with no established therapeutic interventions currently available.
Carlos G. Moreira, Adrian Müllner, Meltem Gönel, Pascal Hofmann, Filipe Teixeira, Rosa C. Paolicelli, Inês Dias, Sergio I. Nemirovsky, Christian R. Baumann, Daniela Noain   +9 more
wiley   +1 more source

Continuous Versus Short EEG After Ischemic Stroke: What cEEG Adds for Detecting Abnormalities and Predicting Post‐Stroke Epilepsy

Annals of Neurology, EarlyView.
Objective The objective of this study was to quantify incremental diagnostic yield and prognostic value of continuous electroencephalography (cEEG; ≥12 hours) versus a 60‐minute short electroencephalography (sEEG) in predicting post‐stroke epilepsy (PSE) in patients without acute symptomatic seizures.
Kai Michael Schubert, Vijaya Dasari, Chiara Tatillo, Gilles Naeije, Sándor Beniczky, Carla Bentes, Marian Galovic, Nicolas Gaspard, Vineet Punia   +8 more
wiley   +1 more source

Representations and binomial coefficients

, 2023
For a root system R, a field K and a "choice of coefficients in K" we define a category of graded spaces with operators and study some of its properties. Then we assume that the coefficients are given by quantum binomials.
Fiebig, Peter
core  

Genetic‐Proteomic Integration Identifies Predictive Plasma Proteins for Multiple Sclerosis

Annals of Neurology, EarlyView.
Objective Multiple sclerosis (MS) develops after a prolonged preclinical phase. Identifying circulating biomarkers that capture this early biology can improve risk stratification and guide intervention. We aimed to identify plasma proteins driving MS susceptibility using large‐scale proteogenomic integration and to evaluate their prediagnostic ...
Yuan Ding, Dylan Hamitouche, Simon Thebault, Patrick Kearns, Ahmed Abdelhak, Adil Harroud   +5 more
wiley   +1 more source

Extended binomial coefficients and the Pascal triangle

, 2000
This thesis is an exposition of the articles Relating Geometry and Algebra in the Pascal Triangle, Hexagon, Tetrahedron, and Cuboctahedron Part I: Binomial Coefficients, Extended Binomial Coefficients and Preparation for Further Work\u27 and Part II ...
Ting, Gwendalene B., Velasco, Faye Charmaine C.   +1 more
core  

Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems

Asian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi, Omar Naifar, Imed Bouzida   +2 more
wiley   +1 more source