Results 71 to 80 of about 43,970 (267)

I. On homogeneous division of space [PDF]

Proceedings of the Royal Society of London, 1894
Abstract 1. The homogeneous division of any volume of space means the dividing of it into equal and similar parts, or cells, as I shall call them, all sameways oriented. If we take any point in the interior of one cell or on its boundary, and corresponding points of all the other cells, these points form a homogeneous assemblage of ...
openaire   +1 more source

Understanding Further the Phenotypic Spectrum of Central Nervous System Inflammatory Demyelinating Disorders Using Unsupervised Clustering

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Central nervous system (CNS) inflammatory demyelinating syndromes, including multiple sclerosis (MS), aquaporin‐4 antibody–positive neuromyelitis optica spectrum disorder (AQP4 + NMOSD), and myelin oligodendrocyte glycoprotein (MOG) antibody–associated disease (MOGAD), occasionally overlap.
Bade Gulec, Elif Everest, Melih Tutuncu, Ugur Bilge, Sabahattin Saip, Ugur Uygunoglu, Aksel Siva   +6 more
wiley   +1 more source

Association Between Motor Pathway Damage and Motor Deficit in Upper and Lower Limb in People With MS

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Corticospinal tract damage is common in people with MS, but the degree of clinical symptoms varies. We hypothesize that corticospinal tract lesions are more extensive and severe in people with MS with motor impairments in both upper and lower limbs.
Mathilde Liffran, Malo Gaubert, Alice Dufey, Elise Bannier, Audrey Rico, Jean‐Christophe Ferré, Raphaël Chouteau, Laure Michel, Emmanuelle Le Page, Virginie Callot, Bertrand Audoin, Sarah Demortière, Benoît Combès, Anne Kerbrat   +13 more
wiley   +1 more source

The Poisson equation in homogeneous Sobolev spaces

International Journal of Mathematics and Mathematical Sciences, 2004
We consider Poisson's equation in an n-dimensional exterior domain G(n≥2) with a sufficiently smooth boundary. We prove that for external forces and boundary values given in certain Lq(G)-spaces there exists a solution in the homogeneous Sobolev space S2,
Tatiana Samrowski, Werner Varnhorn
doaj   +1 more source

Sex‐Stratified Association of Regional Dopamine Transporter Binding With Disease Progression in Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To clarify the clinical relevance of dopamine transporter single‐photon emission computed tomography (DAT‐SPECT) abnormalities in amyotrophic lateral sclerosis (ALS), with a prespecified focus on sex‐stratified associations with disease progression and short‐term prognosis.
Tomoya Kawazoe, Keizo Sugaya, Kentaro Hayashi, Keiko Hino, Yasuhiro Nakata, Kota Bokuda, Toshio Shimizu, Kazushi Takahashi   +7 more
wiley   +1 more source

Some Function Spaces via Orthonormal Bases on Spaces of Homogeneous Type

Abstract and Applied Analysis, 2014
Let (X,d,μ) be a space of homogeneous type in the sense of Coifman and Weiss, where the quasi-metric d may have no regularity and the measure μ satisfies only the doubling property.
Chuang Chen, Ji Li, Fanghui Liao
doaj   +1 more source

Paramagnetic Rim Lesions and Choroid Plexus Volume at Diagnosis Are Associated With Cognitive Progression Independent of Relapse and MRI Activity in Early Relapsing–Remitting Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Paramagnetic rim lesions (PRLs) and choroid plexus (CP) enlargement reflect smoldering inflammation in multiple sclerosis. Their role in cognitive progression remains unexplored. Eighty‐seven early relapsing–remitting MS patients were enrolled at diagnosis and followed longitudinally.
Stefano Ziccardi, Damiano Marastoni, Agnese Tamanti, Pietro Biasi, Valentina Visani, Annalisa Colombi, Tom A. Fuchs, Monica Sicchieri, Chiara Eccher, Francesco Guarnaccia, Milena Calderone, Valentina Camera, Francesca Benedetta Pizzini, Roberta Magliozzi, Marco Castellaro, Massimiliano Calabrese   +15 more
wiley   +1 more source

Point pattern analysis and classification on compact two-point homogeneous spaces evolving time. [PDF]

Stoch Environ Res Risk Assess, 2023
Frías MP, Torres A, Ruiz-Medina MD.
europepmc   +1 more source

Gravity‐Dependent Modulation of Downbeat Nystagmus: Insights From Velocity‐Storage Dysfunction

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Downbeat nystagmus varies with head position, a phenomenon termed gravity‐dependent modulation. We aimed to clarify its mechanism using a velocity‐storage model. Methods In 10 patients with downbeat nystagmus due to cerebellar disorders, we recorded eye movements at different pitch‐ and roll‐axis head positions.
Ji‐Hyung Park, Eun‐Hyuk Choi, Jorge Otero‐Millan, David S. Zee, Jeong‐Yoon Choi, Ji‐Soo Kim   +5 more
wiley   +1 more source

Cross Curvature Solitons of Lorentzian Three-Dimensional Lie Groups

Axioms
In this paper, we study left-invariant cross curvature solitons on Lorentzian three-dimensional Lie groups and classify these solitons.
Shahroud Azami, Mehdi Jafari, Abdul Haseeb, Abdullah Ali H. Ahmadini   +3 more
doaj   +1 more source