Results 91 to 100 of about 640,777 (319)

Generalized Harmonic Numbers

, 2018
28 pages.
openaire   +2 more sources

Interleukin‐6 as a Key Biomarker in Facioscapulohumeral Dystrophy: Evidence From Longitudinal Analyses

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Facioscapulohumeral muscular dystrophy type 1 (FSHD1) is a progressive neuromuscular disorder with no approved treatments. Identifying reliable biomarkers is critical to monitor disease severity, activity, and progression. Interleukin‐6 (IL‐6) has been proposed as a candidate biomarker, but longitudinal validation is limited ...
Jonathan Pini, Emanuela Martinuzzi, Sandra Dhifallah, Abderhmane Slioui, Angela Puma, Luisa Villa, Michele Cavalli, Andra Ezaru, Jérémy Garcia, Manuela Gambella, Federico Torre, Luca Jacopo Pavan, Nicolas Glaichenhaus, Sabrina Sacconi   +13 more
wiley   +1 more source

CSF Levels of NPTX2 Are Associated With Less Brain Atrophy Over Time in Cognitively Unimpaired Individuals

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Introduction Neuronal pentraxin 2 (NPTX2) is a synaptic protein involved in synaptic plasticity and regulation of neuronal excitability. Lower baseline cerebrospinal fluid (CSF) NPTX2 levels have been shown to be associated with an earlier onset of mild cognitive impairment (MCI), a pre‐dementia syndrome, even after CSF Alzheimer's Disease (AD)
Juan P. Vazquez, Corinne Pettigrew, Yuxin Zhu, Claire Anderson, Guray Erus, Christos Davatzikos, Michael Miller, Abhay Moghekar, Sungtaek Oh, Chan‐Hyun Na, Marilyn Albert, Paul Worley, Anja Soldan   +12 more
wiley   +1 more source

Accelerating Spherical Harmonic Transforms for a Large Number of Sky Maps [PDF]

, 2022
Chi Tian, Siyu Li, Hao Liu
openalex   +3 more sources

Binomial Series Involving Harmonic-like Numbers

Axioms
By computing definite integrals, we shall examine binomial series of convergence rate ±1/2 and weighted by harmonic-like numbers. Several closed formulae in terms of the Riemann and Hurwitz zeta functions as well as logarithm and polylogarithm functions ...
Chunli Li, Wenchang Chu
doaj   +1 more source

Extended calculations of a special Harmonic number

, 2015
The search for values of $p$ for which the Harmonic numbers $H_{\lfloor p/6 \rfloor}$ vanish mod $p$, carried to $p < 600,000$ by Schwindt in 1983, is extended here to $p < 16,949,000,000,000$, and two new solutions are ...
Dobson, John Blythe
core  

Plasma Proteomic Signatures for Alzheimer's Disease: Comparable Accuracy to ATN Biomarkers and Cross‐Platform Validation

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background There is growing recognition of the potential of plasma proteomics for Alzheimer's Disease (AD) risk assessment and disease characterization. However, differences between proteomics platforms introduce uncertainties regarding cross‐platform applicability.
Manyue Hu, Oliver Robinson, Christina M. Lill, Anna Matton, Raquel Puerta, Pilar Sanz, Merce Boada, Agustín Ruiz, Lefkos Middleton, for the Alzheimer's Disease Neuroimaging Initiative   +9 more
wiley   +1 more source

Crank-Nicolson, finite difference method, time fracional-order Black-Scholes model, numerical simulation, multi-dimensional models

AIMS Mathematics
Three classes of infinite series containing binomial coefficient $ \binom{3n}{n} $, harmonic-like numbers, and an independent variable "$ y $" are examined.
Chunli Li , Wenchang Chu
doaj   +1 more source

Sharp inequalities for the harmonic numbers

Expositiones Mathematicae, 2006
AbstractLet Hn be the nth harmonic number.
openaire   +2 more sources

Examples on Harmonic Measure and Normal Numbers [PDF]

Proceedings of the American Mathematical Society, 1985
Suppose that F F is a bounded set in R m {{\mathbf {R}}^m} , m ⩾ 2 m \geqslant 2 , with positive capacity. Add to F F a disjoint set E E so that E
openaire   +2 more sources