Results 91 to 100 of about 11,829,477 (307)

Harmonic Series of Convergence Ratio “1/4" with Cubic Central Binomial Coefficients

open access: yesAxioms
We examine a useful hypergeometric transformation formula by means of the coefficient extraction method. A large class of “binomial/harmonic series” (of convergence ratio “1/4”) containing the cubic central binomial coefficients and harmonic numbers is ...
Chunli Li, Wenchang Chu
doaj   +1 more source

Whole‐Body Pattern of Muscle Degeneration and Progression in Sarcoglycanopathies

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To characterize whole‐body intramuscular fat distribution pattern in patients with sarcoglycanopathies and explore correlations with disease severity, duration and age at onset. Methods Retrospective, cross‐sectional, multicentric study enrolling patients with variants in one of the four sarcoglycan genes who underwent whole‐body ...
Laura Costa‐Comellas   +39 more
wiley   +1 more source

Unraveling the Molecular Mechanisms of Glioma Recurrence: A Study Integrating Single‐Cell and Spatial Transcriptomics

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu   +10 more
wiley   +1 more source

Extended calculations of a special Harmonic number

open access: yes, 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  

Clustering Algorithm Reveals Dopamine‐Motor Mismatch in Cognitively Preserved Parkinson's Disease

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To explore the relationship between dopaminergic denervation and motor impairment in two de novo Parkinson's disease (PD) cohorts. Methods n = 249 PD patients from Parkinson's Progression Markers Initiative (PPMI) and n = 84 from an external clinical cohort.
Rachele Malito   +14 more
wiley   +1 more source

Remarks on an Identity of Anastase and Díaz-Barrero

open access: yesAxioms
We extend an algebraic identity of Anastase and Díaz-Barrero (2022) and apply our results to deduce various formulas for sums and series involving (among others) Fibonacci and Lucas numbers, Bernoulli polynomials, and the Riemann zeta function.
Horst Alzer, Robert Frontczak
doaj   +1 more source

Impact of Asymptomatic Intracranial Hemorrhage on Outcome After Endovascular Stroke Treatment

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Endovascular treatment (EVT) achieves high rates of recanalization in acute large‐vessel occlusion (LVO) stroke, but functional recovery remains heterogeneous. While symptomatic intracranial hemorrhage (sICH) has been well studied, the prognostic impact of asymptomatic intracranial hemorrhage (aICH) after EVT is less certain ...
Shihai Yang   +22 more
wiley   +1 more source

On the Range of Arithmetic Means of the Fractional Parts of Harmonic Numbers

open access: yesMathematics
In this paper, the limit points of the sequence of arithmetic means 1n∑m=1n{Hm}σ for n=1,2,3,… are studied, where Hm is the mth harmonic number with fractional part {Hm} and σ is a fixed positive constant.
Artūras Dubickas
doaj   +1 more source

Finite summation formulas involving binomial coefficients, harmonic numbers and generalized harmonic numbers [PDF]

open access: yesJournal of Inequalities and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Value of MRI Outcomes for Preventive and Early‐Stage Trials in Spinocerebellar Ataxias 1 and 3

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To examine the value of MRI outcomes as endpoints for preventive and early‐stage trials of two polyglutamine spinocerebellar ataxias (SCAs). Methods A cohort of 100 participants (23 SCA1, 63 SCA3, median Scale for the Assessment and Rating of Ataxia (SARA) score = 5, 42% preataxic, and 14 gene‐negative controls) was scanned at 3T up ...
Thiago J. R. Rezende   +26 more
wiley   +1 more source

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