Results 51 to 60 of about 4,991,356 (250)
International Journal of Mathematics and Mathematical Sciences, 1987 We extend F. Holland's definition of the space of resonant classes of functions, on the real line, to the space R(Φpq) (1≦p, q≦∞) of resonant classes of measures, on locally compact abelian groups.
Maria Torres De Squire
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On Positive Definiteness of Some Functions
Journal of Multivariate Analysis, 2000 Let \(E\) be a linear space over \(\mathbb{R}\) and let \(\rho(x)\) be the \(\ell^n_p\)-norm in \(\mathbb{R}^n\). A function \(f: E\to\mathbb{C}\) is called definite if \(\sum^n_{k,j=1} c_k\overline c_jf(x_k- x_j)\geq 0\) for all \(n\in\mathbb{N}\), \(x_k\in E\), \(c_k\in\mathbb{C}\) for \(k= 1,2,\dots, n\).
openaire +4 more sources
Endothelial Cell Proteins as Biomarkers in Susac Syndrome
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Susac syndrome (SS) is a rare CD8+ T cell–mediated microangiopathy affecting the brain, retina, and auditory labyrinth. Endothelial injury is thought to be a central mechanism; however, no circulating disease biomarkers are known. We performed targeted proteomic profiling to identify circulating endothelial‐associated proteins as ...
Rohit Benjamin +11 more
wiley +1 more source
Symmetric and Positive Definite Broyden Update for Unconstrained Optimization
مجلة بغداد للعلوم, 2019 Broyden update is one of the one-rank updates which solves the unconstrained optimization problem but this update does not guarantee the positive definite and the symmetric property of Hessian matrix.
Saad et al.
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Data‐Driven SuStaIn Model of Disability Progression in Amyotrophic Lateral Sclerosis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To determine whether ordinal Subtype and Stage Inference (SuStaIn) applied to routine ALSFRS‐R item scores can identify reproducible disability progression patterns in amyotrophic lateral sclerosis (ALS) and provide clinically meaningful staging.
Giammarco Milella +5 more
wiley +1 more source
Positive definite functions on a regular domain [PDF]
, 2023 We define positive and strictly positive definite functions on a domain and study these functions on a list of regular domains. The list includes the unit ball, conic surface, hyperbolic surface, solid hyperboloid, and simplex.
Xu, Yuan, Buhmann, Martin
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Positive definite functions and dual pairs of locally convex spaces [PDF]
Opuscula Mathematica, 2018 Using pairs of locally convex topological vector spaces in duality and topologies defined by directed families of sets bounded with respect to the duality, we prove general factorization theorems and general dilation theorems for operator-valued positive
Daniel Alpay, Saak Gabriyelyan
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Diffuse MRI Edema Predicts Relapse in Cerebral Amyloid Angiopathy–Related Inflammation
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To identify MRI predictors of relapse and quantify relapse and mortality risk in cerebral amyloid angiopathy–related inflammation (CAA‐RI). A secondary objective was to assess the association between mycophenolate mofetil use and relapse risk. Methods We performed a retrospective cohort study of 36 patients with CAA‐RI treated at the
G. Abbas Kharal +10 more
wiley +1 more source
Well-posedness of an elliptic equation with involution
Electronic Journal of Differential Equations, 2015 In this article, we study a mixed problem for an elliptic equation with involution. This problem is reduced to boundary value problem for the abstract elliptic equation in a Hilbert space with a self-adjoint positive definite operator. Operator tools
Allaberen Ashyralyev +1 more
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Children’s knowledge of indefinite and definite reference [PDF]
, 1990 After reviewing previous theoretical and empirical investigations, the decision is made that an understanding of both "Familiarity' and 'Specificity' must be necessary for a full appreciation of indefiniteness/definiteness.
Sims, K.M +2 more
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