Results 51 to 60 of about 82,928,475 (246)
On the generalized absolute summability factor theorem [PDF]
, 2007 In this paper, we establish a summability factor theorem for summability | A |k where A is a lower triangular matrix with non-negative entries satisfying certain conditions. © 2006 Elsevier Ltd.
Savaş, Ekrem
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Stage‐Dependent β‐Synuclein Links MRI and Cognitive Decline in Alzheimer's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Synaptic degeneration drives cognitive decline in Alzheimer's disease (AD), but synaptic biomarkers are scarce. Brain‐enriched β‐synuclein emerged as a synaptic damage marker. We investigated its diagnostic, prognostic, and structural correlates across the AD continuum.
Ulaş Ay +15 more
wiley +1 more source
An application on an absolute matrix summability method
, 2022 Summary: The aim of this paper is to generalize a main theorem concerning absolute weighted arithmetic mean summability factors of infinite series and Fourier series to the \(|A, p_n; \delta |_k\) summability method by using a quasi-\(f\)-power increasing sequence.
openaire +2 more sources
Arterial Spin‐Labeling MRI at the Cortical‐CSF Interface: A Novel Biomarker in Alzheimer Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background/Objective Arterial spin‐labeling (ASL) MRI can measure perfusion signal adjacent to CSF spaces and may provide information regarding CSF‐adjacent water transport physiology. We developed an automated pipeline to extract cortical‐CSF interface (IF) perfusion for comparison between Alzheimer disease (AD) and cognitively normal ...
Mona Asghariahmadabad +22 more
wiley +1 more source
Multiplicative Summability Methods and the Stone-Čech Compacification
, 1959 A regular summability method ψ (for real sequences) is called multiplicative (b-multiplicative) if whenever f, g are two (bounded) sequences summed by ψ, then ψ(fg) = ψ(f)ψ(g). It is known [11], [17], p.
Henriksen, Melvin, Melvin Henriksen
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White Matter and Perivascular Imaging Changes in Alzheimer's Disease and Cerebral Amyloid Angiopathy
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Peak‐width of skeletonized mean diffusivity (PSMD) and diffusion tensor imaging–analysis along the perivascular space (DTI‐ALPS), reflecting white matter integrity and glymphatic function, are altered in Alzheimer's disease (AD).
Debina Laishram +3 more
wiley +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To identify inflammatory analytes in cerebrospinal fluid (CSF) and plasma associated with cognitive decline in cognitively normal (CN) older adults at risk for Alzheimer's disease (AD). Methods In a longitudinal study of 118 CN older adults (65–80 years, 54% APOE ε4, 26% preclinical AD), 1331 CSF and 1501 plasma analytes were ...
Jagan A. Pillai +13 more
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Stečkin inequalities for summability methods
, 1997 Stečkin proved an inequality on Fejér means of Fourier series He said, Proving similar inequality for other summability method is an interesting problem.
Jia-Ding Cao
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Arthritis Care &Research, EarlyView.Objective This study aimed to characterize cannabis product choices (cannabinoid content and formulation) among patients with rheumatologic conditions and their associations with patient factors, patient‐reported perceived side effects, and positive impacts.
Susan Zhang +10 more
wiley +1 more source
Arthritis Care &Research, EarlyView.Objective Studies of damage accrual in patients with systemic lupus erythematosus (SLE) show associations with disease activity measured by the SLE Disease Activity Index 2000 (SLEDAI‐2K), but these associations are imperfect. SLEDAI scores are powerfully influenced by weightings (1–8) assigned to each domain.
Kevin Zhang +8 more
wiley +1 more source