Results 71 to 80 of about 128,737 (285)
Some Function Spaces via Orthonormal Bases on Spaces of Homogeneous Type
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
The exponential map of a $C^{1,1}$-metric
Given a pseudo-Riemannian metric of regularity $C^{1,1}$ on a smooth manifold, we prove that the corresponding exponential map is a bi-Lipschitz homeomorphism locally around any point. We also establish the existence of totally normal neighborhoods in an
Kunzinger, Michael +2 more
core +1 more source
Chronological and Spatial Distribution of Skeletal Muscle Fat Replacement in FHL1‐Related Myopathies
ABSTRACT Objectives Variants in the FHL1 gene cause FHL1‐related myopathies (FHL1‐RMs), a group of neuromuscular disorders with diverse clinical presentations. This study aimed to comprehensively characterize the spatial and temporal patterns of skeletal muscle fat replacement throughout the whole body in FHL1‐RMs, to examine disease progression over ...
Rui Shimazaki +8 more
wiley +1 more source
Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces
Given a homeomorphism f:X→Yf:X\to Y between QQ-dimensional spaces X,YX,Y, we show that ff satisfying the metric definition of quasiconformality outside suitable exceptional sets implies that ff belongs to the Sobolev class Nloc1,p(X;Y){N}_{{\rm{loc}}}^{1,
Lahti Panu, Zhou Xiaodan
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Acoustic Measures Capture Speech Dysfunction in Spinocerebellar Ataxia
ABSTRACT Objective Spinocerebellar ataxias (SCA) are hereditary cerebellar degenerative disorders with a common feature of dysarthria, involving impaired phonatory and articulatory control of speech, thereby affecting social communication. In this study, we investigated whether acoustic measures could objectively measure speech dysfunction and identify
Zena Fadel +5 more
wiley +1 more source
Measures with predetermined regularity and inhomogeneous self-similar sets
We show that if $X$ is a uniformly perfect complete metric space satisfying the finite doubling property, then there exists a fully supported measure with lower regularity dimension as close to the lower dimension of $X$ as we wish.
Käenmäki, Antti, Lehrbäck, Juha
core +1 more source
Remote Monitoring in Myasthenia Gravis: Exploring Symptom Variability
ABSTRACT Background Myasthenia gravis (MG) is a rare, autoimmune disorder characterized by fluctuating muscle weakness and potential life‐threatening crises. While continuous specialized care is essential, access barriers often delay timely interventions. To address this, we developed MyaLink, a telemedical platform for MG patients.
Maike Stein +13 more
wiley +1 more source
Let χ be a doubling metric measure space and ρ an admissible function on χ. In this paper, the authors establish some equivalent characterizations for the localized Morrey-Campanato spaces ερα,p(χ) and Morrey-Campanato-BLO spaces ε̃ρα,p(χ) when α∈(-∞,0 ...
Haibo Lin, Eiichi Nakai, Dachun Yang
doaj +1 more source
Applying an Ethical Lens to the Treatment of People With Multiple Sclerosis
ABSTRACT The practice of neurology requires an understanding of clinical ethics for decision‐making. In multiple sclerosis (MS) care, there are a wide range of ethical considerations that may arise. These involve shared decision‐making around selection of a disease‐modifying therapy (DMT), risks and benefits of well‐studied medications in comparison to
Methma Udawatta, Farrah J. Mateen
wiley +1 more source
Pattern and Variation in the Timing of Aksak Meter: Commentary on Goldberg
Daniel Goldberg (2015, this issue) explores relations between timing variations, grouping structure, and musical form in the percussive accompaniment of Balkan folk dance music.
Rainer Polak
doaj +1 more source

