Results 101 to 110 of about 127,593,022 (267)

On the Fourth Power Mean of a Sum Analogues to Character Sums Over Short Intervals

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2011
The paper under review deals with the sum \(\sum_{1\leq n\leq N}(-1)^n\chi(n)\), where \(\chi\) denotes a Dirichlet character modulo \(q\geq 2\). The first theorem gives the following asymptotic formula \[ \sum_{\chi\bmod q}\Bigl|\sum_{n\leq N}(-1)^nn^k\chi(n)\Bigr|^4=\frac{80\ln N-50\ln 2}{(2k+1)^3n^2}\frac{\varphi^4(q)}{q^3}N^{4k+2}\prod_{p|q}\frac{p}
Tian, Qing, He, Yanfeng, Zhang, Wenpeng
openaire   +3 more sources

Temporal Interference Stimulation of Centromedian‐Parafascicular Complex in Disorders of Consciousness: A Pilot Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Treatment of disorders of consciousness (DoC) remains a major clinical challenge, and noninvasive, targeted modulation of deep brain structures has emerged as a promising therapeutic strategy. We aimed to evaluate the feasibility/safety and preliminary effects of thalamic temporal interference stimulation (TIS) targeting centromedian‐
Gengyao Hu, Changgeng Song, Dianwei Wu, Xiaoqian Niu, Jianmin Hao, Lijuan Liu, Xiaogang Kang, Wen Jiang   +7 more
wiley   +1 more source

CSF Cytokine Network Organization Predicts Progression Independent of Relapse and MRI Activity in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Progression independent of relapse activity is a major determinant of long‐term disability in multiple sclerosis, but its immunopathologic basis remains incompletely understood. We investigated whether relapse‐independent progression in radiologically stable relapsing–remitting multiple sclerosis is associated with distinct ...
Antonio Bruno, Matteo Conti, Ettore Dolcetti, Federica Azzolini, Angela Borrelli, Roberta Fantozzi, Mario Stampanoni Bassi, Giovanni Galifi, Giuseppe Maccarrone, Luca Montaguti, Marco Cervigni, Maddalena Dal Pozzo, Roberto Furlan, Annamaria Finardi, Girolama Alessandra Marfia, Marco Salvetti, Antonella Conte, Fabio Buttari, Diego Centonze, Luana Gilio   +19 more
wiley   +1 more source

On the Fourth Power Mean of the Two-Term Exponential Sums

, 2020
The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for ...
Wenpeng Zhang, Han Zhang
core  

Stochastic‐gradient‐based control algorithms for power quality enhancement in solar photovoltaic interfaced three‐phase distribution system

IET Generation, Transmission & Distribution
Here, stochastic‐gradient‐based adaptive control algorithms have been discussed and employed for power quality enhancement in a Photovoltaics (PV) integrated distribution system.
Dinanath Prasad, Narendra Kumar, Rakhi Sharma, Majed A. Alotaibi, Hasmat Malik, Fausto Pedro García Márquez, Mohammad Asef Hossaini   +6 more
doaj   +1 more source

Safety and Efficacy of GLP‐1 Receptor Agonists in Adults With Epilepsy, Obesity, and Type 2 Diabetes

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Managing obesity in patients with epilepsy is complicated by the weight‐gaining properties of essential antiseizure medications (ASMs) such as valproate and pregabalin. We evaluated the safety and efficacy of initiating glucagon‐like peptide‐1 receptor agonists (GLP‐1 RAs) in this population.
Hyoshin Son, Inyoung Hwang, Sang Won Lee, Yun Kim   +3 more
wiley   +1 more source

0.279 nW fourth-order filter circuit for biological signal conditioning

AIP Advances
In this article, a fourth-order low-pass filter (LPF) is designed and analyzed for wearable biological healthcare applications. The proposed LPF is based on level shifter, class-AB folded flipped source follower, and pseudo-resistive voltage-variative ...
Diksha Thakur, Kulbhushan Sharma
doaj   +1 more source

Boundary‐Dependent Sleep–Wake Dysregulation in Idiopathic Hypersomnia

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Idiopathic hypersomnia (IH) presents with excessive daytime sleepiness (EDS) despite apparently preserved nocturnal sleep, challenging traditional models of hypersomnolence based on sleep loss or fragmentation. We aimed to test the hypothesis that EDS in IH reflects excessive stabilization of the sleep state, consistent with ...
Samantha Mombelli, Karine Lacourse, Hélène Blais, Anne‐Sophie Deshaies‐Rugama, Cynthia Thompson, Alex Desautels, Jacques Montplaisir, Milan Nigam, Christophe Moderie, Boshra Khajehpiri, Catherine Duclos, Jean Marc Lina, Julie Carrier, Nadia Gosselin   +13 more
wiley   +1 more source

Power Quality Enhancement using Integrated Control Technique Quantum Calculus-based Least Mean Fourth and Optimized Fractional Order Proportional-Integral-Derivative

This article proposes the effectiveness of a Dynamic Voltage Restorer (DVR) based on Quantum Calculus-based Least Mean Fourth (q-LMF) for compensating the impact of grid voltage perturbation.
Prashant Kumar, Sabha Raj Arya
core   +1 more source

Diffuse MRI Edema Predicts Relapse in Cerebral Amyloid Angiopathy–Related Inflammation

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To identify MRI predictors of relapse and quantify relapse and mortality risk in cerebral amyloid angiopathy–related inflammation (CAA‐RI). A secondary objective was to assess the association between mycophenolate mofetil use and relapse risk. Methods We performed a retrospective cohort study of 36 patients with CAA‐RI treated at the
G. Abbas Kharal, Gowtham Yerneni, Kim J. Griffin, Nicolas Thompson, Ken Uchino, Irene Katzan, Dolora Wisco, Abeer Farrag, Jayashree Sundarajan, Andrew Russman, M. Shazam Hussain   +10 more
wiley   +1 more source