Results 21 to 30 of about 4,874,961 (289)
Retaining positive definiteness in thresholded matrices [PDF]
, 2012 Positive definite (p.d.) matrices arise naturally in many areas within mathematics and also feature extensively in scientific applications. In modern high-dimensional applications, a common approach to finding sparse positive definite matrices is to ...
Guillot, Dominique, Rajaratnam, Bala
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V-singular values of rectangular tensors and their applications
Journal of Inequalities and Applications, 2019 The positive definiteness of rectangular tensors has wide applications in solid mechanics and quantum physics. By modifying the existing definition of singular value for rectangular tensors, some V-singular value inclusion sets for rectangular tensors ...
Jun He +3 more
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Positive definiteness in coupled strain gradient elasticity [PDF]
, 2021 The linear theory of coupled gradient elasticity has been considered for hemitropic second gradient materials, specifically the positive definiteness of the strain and strain gradient energy density, which is assumed to be a quadratic form of the strain ...
Altenbach, Holm +2 more
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Strict positive definiteness on spheres via disk polynomials
International Journal of Mathematics and Mathematical Sciences, 2002 We characterize complex strictly positive definite functions on spheres in two cases, the unit sphere of ℂq, q≥3, and the unit sphere of the complex ℓ2. The results depend upon the Fourier-like expansion of the functions in terms of disk polynomials and,
V. A. Menegatto, A. P. Peron
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Predicative definite NPIs in Norwegian
Nordlyd: Tromsø University Working Papers on Language & Linguistics, 2011 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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Mathematics, 2023 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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Многоязычие в образовательном пространстве, 2021 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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Using stability analysis of discrete elastic systems to study the buckling of nanostructures
Archives of Mechanics, 2012 Stubility/instability criteria of discrete elastic systems are used to study the buckling of nanostructures. The deformation of nanostructures is simulated by solving the nonlinear equations of molecular mechanics.
S.N. Korobeynikov +3 more
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Stable positive definite functions [PDF]
Transactions of the American Mathematical Society, 1975 This paper investigates the stability of positive definite functions on locally compact groups under one parameter groups of automorphisms. As an application of this it is shown that the only probability distributions on
Parthasarathy, K. R., Schmidt, K.
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Ordering positive definite matrices [PDF]
Information Geometry, 2018 We introduce new partial orders on the set Sn+$$S^+_n$$ of positive definite matrices of dimension n derived from the affine-invariant geometry of Sn+$$S^+_n$$. The orders are induced by affine-invariant cone fields, which arise naturally from a local analysis of the orders that are compatible with the homogeneous geometry of Sn+$$S^+_n$$ defined by ...
Cyrus Mostajeran, Rodolphe Sepulchre
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