Results 31 to 40 of about 59,248 (235)
Positive definite hyperfunctions [PDF]
Nagoya Mathematical Journal, 1995 S. Bochner proved the following theorem in [B].
Chung, Jaeyoung +2 more
openaire +3 more sources
New criteria for H $\mathcal{H}$ -tensors and an application
Journal of Inequalities and Applications, 2016 Some new criteria for H $\mathcal{H}$ -tensors are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor are given. The advantages of the results obtained are illustrated by numerical
Feng Wang, De-shu Sun
doaj +1 more source
Inertia, positive definiteness and $\ell_p$ norm of GCD and LCM matrices and their unitary analogs [PDF]
, 2017 Let $S=\{x_1,x_2,\dots,x_n\}$ be a set of distinct positive integers, and let $f$ be an arithmetical function. The GCD matrix $(S)_f$ on $S$ associated with $f$ is defined as the $n\times n$ matrix having $f$ evaluated at the greatest common divisor of ...
Haukkanen, Pentti, Tóth, László
core +2 more sources
An extension of a theorem of Schoenberg to products of spheres
, 2015 We present a characterization for the continuous, isotropic and positive definite kernels on a product of spheres along the lines of a classical result of I. J. Schoenberg on positive definiteness on a single sphere.
Guella, J. C. +2 more
core +1 more source
Complexity, 2020 M-eigenvalues of fourth-order partially symmetric tensors play important roles in the nonlinear elastic material analysis and the entanglement problem of quantum physics.
Gang Wang, Linxuan Sun, Lixia Liu
doaj +1 more source
Positive Definiteness of Gravitational Field Energy [PDF]
, 1968 The total gravitational field energy functional is shown to have only one extremum under variation of the metric field variables. At the extremum the energy vanishes and space is flat; second variation shows that the vacuum state is also a local ...
Brill, D., Deser, S.
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Five‐Year Disease Progression in Synuclein Seeding Positive Sporadic Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To provide a comprehensive description of disease progression in synuclein seeding assay (SAA) positive sporadic Parkinson Disease participants, using Neuronal Synuclein Disease integrated biological and functional impairment staging framework.
Paulina Gonzalez‐Latapi +19 more
wiley +1 more source
On Elastic Stability and Positive Definiteness for One-Dimensional Quasicrystals
CrystalsIn this work, a proper formulation of the elastic stability and positive definiteness of the elastic energy density of one-dimensional quasicrystals is provided. Based on an appropriate Voigt notation, the Sylvester criterion is applied and the necessary
Eleni Agiasofitou, Markus Lazar
doaj +1 more source
On L\'evy's Brownian motion indexed by the elements of compact groups
, 2013 We investigate positive definiteness of the Brownian kernel K(x,y)=1/2(d(x,x_0) + d(y,x_0) - d(x,y)) on a compact group G and in particular for G=SO(n).Comment: Accepted for publication.
Baldi, Paolo, Rossi, Maurizia
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT The Clinical Assessment Scale in Autoimmune Encephalitis (CASE) tracks disease severity in autoimmune encephalitis (AE), but no threshold for significant change exists. We aimed to determine the minimally clinically important difference (MCID) for CASE.
Yihui Goh +8 more
wiley +1 more source