Results 81 to 90 of about 2,366,719 (285)
On the extreme points of some classes of holomorphic functions
International Journal of Mathematics and Mathematical Sciences, 1997 Let U be the unit disk, D⊃U an open connected set and z0∈D. Let also P(z0,c,D) be the class of holomorphic functions in D for which f(z0)=c and Ref(z)>0 in U. We find the extreme points of the class P(z0,c,D).
Nicolas Samaris
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective The Gold Coast criteria permit diagnosis of amyotrophic lateral sclerosis (ALS) even without upper motor neuron (UMN) signs. However, whether ALS patients with UMN signs (ALSwUMN) and those without (ALSwoUMN) share similar characteristics and prognoses remains unclear.
Hee‐Jae Jung +7 more
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A 73‐Year‐Old Man With Several Years of Difficulty Climbing Stairs and Frequent Tripping
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT A 73‐year‐old man presented with progressive weakness and atrophy predominantly affecting the distal finger flexors and quadriceps muscles. Electrophysiological studies demonstrated mixed myogenic and neurogenic features. Muscle MRI showed inflammatory changes, and muscle biopsy revealed granulomatous myositis with histologic features ...
Mehmet Can Sari +3 more
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Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm
Journal of Inequalities and Applications, 2020 In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given.
Lili An, Yunan Cui
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Epilepsy‐Associated Variants of a Single SCN1A Codon Exhibit Divergent Functional Properties
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Pathogenic variants in SCN1A, which encodes the voltage‐gated sodium channel NaV1.1, are associated with multiple epilepsy syndromes exhibiting a range of clinical severity. SCN1A variants are reported in different syndromes, including Dravet syndrome, which is associated with loss‐of‐function, whereas neonatal/infantile‐onset ...
Lanie N. Liebovitz +3 more
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Extreme points and rotundity of Orlicz-Sobolev spaces
International Journal of Mathematics and Mathematical Sciences, 2002 It is well known that Sobolev spaces have played essential roles in solving nonlinear partial differential equations. Orlicz-Sobolev spaces are generalized from Sobolev spaces.
Shutao Chen +2 more
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Sex Representation in US Stroke Clinical Trials: A Decade of Trends and Challenges
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Stroke remains a major cause of disability and mortality in the US, with significant sex‐based disparities, and females remain underrepresented in stroke clinical trials. We aimed to examine sex representation in US‐based stroke clinical trials, identify trial characteristics associated with higher female enrollment (≥ 50%), and ...
Chaitali Dagli +5 more
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Extreme points of vector functions [PDF]
Proceedings of the American Mathematical Society, 1953 Several previous investigations have appeared in the literature which discuss the nature of the set T in n-dimensional space spanned by the vectors (fsdyl, , fsdgn) where S ranges over all measurable sets. It was first shown by Liapounov that if yui, . .* * pn are atomless measures, then the set T is convex and closed.
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Cracking the Code: Genotype–Phenotype Correlation Models in Sarcoglycanopathies
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Sarcoglycanopathies are among the most severe limb‐girdle muscular dystrophies (LGMD), though milder presentations have been described. These diseases are primarily caused by missense variants, but the limited predictability of their effect on protein maturation, complex formation, and transport has hindered reliable genotype ...
Leonela Luce +72 more
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Metric Spaces of Extreme Points
Theory and Applications of Categories, 2020 The well-known Arens-Eells embedding theorem asserts that a metric space can be isometrically embedded as a set of linearly independent vectors in a Banach space. This paper provides an improvement for compact metric spaces by showing the following result: Given a compact metric space \((X,d)\) of diameter at most \(2\), there exists a separable real ...
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