Results 101 to 110 of about 357,643 (260)

Characterization of Best Algebraic Approximation by an Algebraic Modulus of Smoothness

Journal of Approximation Theory, 1997
Denoting by \( x \oplus h \) the weighted addition given by \( x \oplus h = x \sqrt{1-h^2} + \sqrt{1-x^2}h, \forall x, h \in [-1, 1], \) the author considers the difference operator of \( r\) th order of the function \( f: [-1, 1] \rightarrow \mathbb{R}, \) defined by \( \Delta_h^r f = (\Delta_h\circ\ldots\circ\Delta_h)(f), \) (\(r \) times) where \( (\
openaire   +1 more source

Functional and Structural Evidence of Neurofluid Circuit Aberrations in Huntington Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Disrupted neurofluid regulation may contribute to neurodegeneration in Huntington disease (HD). Because neurofluid pathways influence waste clearance, inflammation, and the distribution of central nervous system (CNS)–delivered therapeutics, understanding their dysfunction is increasingly important as targeted treatments emerge.
Kilian Hett, Abigail Dubois, Melanie Leguizamon, Alexander Song, Paula Trujillo, Colin D. McKnight, Ciaran M. Considine, Manus J. Donahue, Daniel O. Claassen   +8 more
wiley   +1 more source

A characterization of the unicity property in best approximation

Journal of Approximation Theory, 1973
AbstractIn this paper we consider the problem of characterizing those situations under which the best uniform linear approximation to an arbitrary continuous function is unique. The problem has been solved by Haar where the set of approximants is a finite dimensional subspace, but in this paper we generalize this by allowing the set of approximants to ...
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Structure–Function Decoupling of the Sensorimotor and Default Mode Networks in Black Americans With MS

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background and Objectives Multiple sclerosis (MS) exhibits racially disparate rates of disease progression. Black people with MS (B‐PwMS) experience a more severe disease course than non‐Hispanic White people with MS (NHW‐PwMS). Here we investigated structural and functional connectivity as well as structure–function decoupling in the ...
Emilio Cipriano, Giacomo Boffa, Maria Petracca, Marta Ponzano, Nicole Graziano, Claire Wigley, Claire Riley, Jonathan Howard, Pietro Bontempi, Sylvia Klineova, Fred Lublin, Matilde Inglese   +11 more
wiley   +1 more source

Baseline Regional Cholinergic Denervation Predicts Cognitive Trajectories in Moderate Parkinson Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown, Giulia Carli, Prabesh Kanel, Stiven Roytman, Jaimie Barr, Nicolaas I. Bohnen, Roger L. Albin   +6 more
wiley   +1 more source

Multidimensional Profiling of MRI‐Negative Temporal Lobe Epilepsy Uncovers Distinct Phenotypes

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Although hippocampal sclerosis (TLE‐HS) represents the most frequent cause of temporal lobe epilepsy (TLE), up to 30% of patients show no lesion on visual MRI inspection (TLE‐MRIneg). These cases pose diagnostic and therapeutic challenges and are underrepresented in surgical series.
Alice Ballerini, Alessia Casarini, Niccolò Biagioli, Laura Mirandola, Daniela Ballotta, Paul Summers, Simona Scolastico, Laura Madrassi, Maurilio Genovese, Marcella Malagoli, Gaetano Cantalupo, Giada Giovannini, Matteo Pugnaghi, Niccolò Orlandi, Laura Tassi, Valeria Cuccarini, Domenico Aquino, Elena Tartara, Fulvia Palesi, Giuseppe Didato, Paolo Vitali, the 3TLE Study Group, Roberta Di Giacomo, Fabio Doniselli, Federica Mazzi, Carlo Andrea Galimberti, Claudia A. M. Gandini Wheeler‐Kingshott, Stefano Meletti, Anna Elisabetta Vaudano   +28 more
wiley   +1 more source

Paramagnetic Rim Lesions Are Associated With Trans‐Synaptic Degeneration of the Visual Pathway in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Retrograde trans‐synaptic degeneration (rTSD) from posterior visual pathway lesions in multiple sclerosis (MS) is characterized by hemi‐macular ganglion cell‐inner plexiform layer (GCIPL) thinning and contralateral visual field loss.
Abdul Jaber Tayem, Angel Liu, Sargis Manukyan, Mustafa Subhi, Elaina Luskin, Bryan Quah, Sreekanth Madhusoodhanan Nair, Arzu C. Has Silemek, Gabriela Zabala, Yujie Cui, Laura Locke, Paula Barreras, Marwa Kaisey, Vinicius Calsavara, Daniel S. Reich, Nancy L. Sicotte, Pascal Sati, Omar Al‐Louzi   +17 more
wiley   +1 more source

Normal‐Appearing White Matter Injury Mediates Chronic Deep Venous Hypoxia and Disease Progression in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To explore how cerebral hypoxia and Normal‐Appearing White Matter (NAWM) integrity affect MS lesion burden and clinical course. Methods Seventy‐nine MS patients, including 13 clinically isolated syndrome (CIS) patients and 66 relapsing–remitting multiple sclerosis (RRMS) patients, and 44 healthy controls (HCs) were recruited from ...
Xinli Wang, Huiying Wang, Zhizheng Zhuo, Ai Guo, Ke Lv, Decai Tian, Chao Chai, Yunyun Duan, Shuang Xia   +8 more
wiley   +1 more source

An alternation characterization of best uniform approximations on noncompact intervals

Journal of Approximation Theory, 1976
AbstractWe present a characterization for a best uniform approximation to a given bounded continuous function f defined on the real but not necessarily compact interval T from an n-dimensional subspace S of the bounded continuous functions on T. When S is a Haar subspace and each element of S satisfies an additional endpoint regularity condition, such ...
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Reperfusion‐Dependent Outcomes After Endovascular Thrombectomy Stratified by NIHSS‐ASPECTS Clinical‐Core Mismatch

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective This analysis evaluates the effect of successful reperfusion on functional outcomes after MT, stratified by admission National Institutes of Health Stroke Scale (NIHSS) and Alberta Stroke Program Early CT Score (ASPECTS) as surrogates for clinical‐core mismatch, using multicenter registry data.
Felix Schlicht, Lukas Meyer, Gabriel Broocks, Matthias Bechstein, Christian Thaler, Christian Heitkamp, Laurens Winkelmeier, Vincent Geest, Alexander Heitkamp, Maximilian Jungnitz, Gregor Peter, Luca Meucci, Tobias Faizy, Jawed Nawabi, Caspar Brekenfeld, Fabian Flottmann, Maximilian Schell, Alexandros Hadjilaou, Uta Hanning, Götz Thomalla, Jens Fiehler, Susanne Gellißen, Helge C. Kniep, for the German Stroke Registry Endovascular Treatment, (GSR‐ET) Alexander Nave, Anna Alegiani, Annerose Mengel, Arno Reich, Bernd Eckert, Charlotte Pietrock, Christian Nolte, Eberhard Siebert, Fabian Flottmann, Fee Keil, Franziska Dorn, Gabor Petzold, Götz Thomalla, Hanna Zimmermann, Jan Borggrefe, Jan Hendrik Schäfer, Jens Fiehler, Joachim Röther, Klaus Gröschel, Lars Kellert, Mario Abruscato, Maximilian Schell, Omid Nikoubashman, Peter Schellinger, Silke Wunderlich, Steffen Tiedt, Sven Thonke, Timo Uphaus, Tobias Boeckh‐Behrens, Ulrike Ernemann   +53 more
wiley   +1 more source