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Positive Definite Operator Sequences [PDF]
An example is given of a linear mapping from C [ x ] {\mathbf {C}}[x] to M 2 ( C ) {{\mathbf {
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Predicative definite NPIs in Norwegian
In Norwegian, a weak quantifier or a scalar adjective with a positive value may combine with a definite noun and thereby form an attenuating NPI. These phrases, which I call predicative definite NPIs, are exceptional as nominal phrases, since they do not
Marit Julien
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This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary-value problems for differential equations of fractional order.
Tatiana Matseevich, Temirkhan Aleroev
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New Sufficient Condition for the Positive Definiteness of Fourth Order Tensors
In this paper, we give a new Z-eigenvalue localization set for Z-eigenvalues of structured fourth order tensors. As applications, a sharper upper bound for the Z-spectral radius of weakly symmetric nonnegative fourth order tensors is obtained and a new Z-
Jun He +3 more
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The purpose of this study is to conduct a comparative typological analysis of the means of expressing the category “Definiteness / Indefiniteness” in German, Tatar and Russian languages and, building on this analysis, to develop a system of exercises ...
A. A. Sibgatullina
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Remedies for Misapplications of Sylvester’s Criterion: A Pedagogic Illustration
Sylvester’s criterion, which verifies the positive definiteness of any real symmetric matrix by examining the signs of all leading principal minors, is an excellent analytical tool.
Clarence C.Y. Kwan
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Intelligent optimization based density matrix reconstruction method with semi-positive constraint
Quantum state tomography (QST) is a technique used to reconstruct the density matrix of unknown quantum states based on experimentally obtained measurements. QST is a fundamental tool in the field of quantum information and quantum technology.
Xiaomin Meng +3 more
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ABSTRACT Background Apolipoprotein ε4 (APOE ε4) is a potent genetic risk factor for Alzheimer's disease (AD). However, its role in cerebral small vessel disease (CSVD) remains unclear. Given the clinical and pathological similarities between CSVD and AD, this study aimed to investigate the associations of APOE ε4 gene dosage with cognitive function and
Tingru Jin +6 more
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New criteria for H $\mathcal{H}$ -tensors and an application
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
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Nationwide Survey of Atopic Myelitis and Plexin D1‐Immunoglobulin G‐Related Pain
ABSTRACT Objective To elucidate the features of plexin D1‐immunoglobulin (Ig)G‐associated neuropathic pain and its relationship to atopic myelitis (AM) in a nationwide Japanese survey. Methods A preliminary survey questionnaire was sent to 1574 selected departments (neurology and pediatrics/pediatric neurology) to explore the numbers of AM and plexin ...
Jun‐ichi Kira +10 more
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