Results 81 to 90 of about 77,241 (265)
On the relation between the numerical range and the joint numerical range of matrix polynomials
The Electronic Journal of Linear Algebra, 1999 Summary: It is shown that the numerical range, NR[\(P(\lambda)\)], of a matrix polynomial \(P(\lambda) = A_m \lambda^m + \dots + A_1 \lambda + A_0\) consists of the roots of all scalar polynomials whose coefficients correspond to the elements of the convex hull of the joint numerical range of the \((m+1)\)-tuple \((A_0,A_1,\dots,A_m)\).
Psarrakos, P. J., Tsatsomeros, M. J.
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Real‐World Investigation of Satralizumab in Patients With Neuromyelitis Optica Spectrum Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Satralizumab, a monoclonal antibody targeting the interleukin‐6 receptor, has demonstrated efficacy in clinical trials for neuromyelitis optica spectrum disorder (NMOSD). However, its real‐world effectiveness and safety compared to conventional immunosuppressive therapies remain uncertain.
Li‐Tsung Lin +2 more
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The McCance Brain Care Score and Mortality: Evidence From a Large‐Scale Population‐Based Cohort
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives This study aimed to examine the relationship between the McCance Brain Care Score (BCS) and mortality in the general population. Methods We conducted a prospective, population‐based cohort study using data from the UK Biobank. Participants with complete data enabling calculation of BCS and full mortality information were included ...
Zhiqiang Xu, Xiaoxiao Wang, Nan Li
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On joint essential maximal numerical ranges
, 2017 Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya. The study of numerical range of an operator has been an area of intense research. The motivation for the development arose from the classical theory of quadratic forms.
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Chronological and Spatial Distribution of Skeletal Muscle Fat Replacement in FHL1‐Related Myopathies
Annals of Clinical and Translational Neurology, EarlyView.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
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Uncertainty relations and joint numerical ranges
, 2017 Noncommutativity lies in the heart of quantum theory and provides rich set of interesting questions in physics and mathematics. In this work I present some of them through the concept of Joint Numerical Range (JNR) - the set of simultaneously attainable averages of quantum observables, which in general need not commute. Full description of JNR geometry
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Shared Genetic Effects and Antagonistic Pleiotropy Between Multiple Sclerosis and Common Cancers
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Epidemiologic studies have reported inconsistent altered cancer risk in individuals with multiple sclerosis (MS). Factors such as immune dysregulation, comorbidities, and disease‐modifying therapies may contribute to this variability.
Asli Buyukkurt +5 more
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Generalized numerical ranges, joint positive definiteness and multiple eigenvalues [PDF]
Proceedings of the American Mathematical Society, 1997 We prove a convexity theorem on a generalized numerical range that combines and generalizes the following results: 1) Friedland and Loewy’s result on the existence of a nonzero matrix with multiple first eigenvalue in subspaces of hermitian matrices, 2) Bohnenblust’s result on joint positive definiteness of hermitian matrices, 3) the Toeplitz-Hausdorff
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Applying an Ethical Lens to the Treatment of People With Multiple Sclerosis
Annals of Clinical and Translational Neurology, EarlyView.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
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Bending Angle Design of the Variable Direction Joint for Directional Well Casing Recovery
Shiyou jixie, 2015 Improper variable direction joint bending angle could lead to fish falling during directional well casing recovery.To address the issue,the variable direction joint bending angle should be designed according to the casing damage well curvature.Through ...
Yu Fahao +4 more
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