Results 91 to 100 of about 11,589,324 (344)

Regularization of distributions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
We give a simple necessary and sufficient condition for the existence of distributional regularizations. Our results apply to functions and distributions defined in the complement of a point, in one or several variables.
Ricardo Estrada
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

Some Remarks on Harmonic Functions in Minkowski Spaces

open access: yesMathematics, 2019
We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function.
Songting Yin
doaj   +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

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

Harmonic mappings and finite valency of analytic functions

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2018
The harmonic mappings of a circle into domains that can be cut into a finite number of convex subdomains has been studied. An estimate of the valency of holomorphic mappings of a circle composed of analytical components of the harmonic function has been ...
L.A. Xuan
doaj  

An Optimal Inequality for Warped Product Pointwise Semi-Slant Submanifolds in Complex Space Forms

open access: yesAxioms
In this paper, we utilize advanced optimization techniques on Riemannian submanifolds to establish two distinct inequalities concerning the generalized normalized δ-Casorati curvatures of warped product pointwise semi-slant (WPPSS) submanifolds within ...
Md Aquib
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

Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function

open access: yesAxioms
In this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag–Leffler function.
Naci Taşar   +3 more
doaj   +1 more source

Characterizing Level-set Families of Harmonic Functions

open access: yes, 2019
Families of hypersurfaces that are level-set families of harmonic functions free of critical points are characterized by a local differential-geometric condition.
Ding, Pisheng
core  

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