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Regularity Conditions in Nonnoetherian Rings [PDF]
Transactions of the American Mathematical Society, 1971 We show that properties of R R -sequences and the Koszul complex which hold for noetherian local rings do not hold for ...
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Kelvin-Voigt equations with memory: existence, uniqueness and regularity of solutions
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In general, the study of inverse problems is realizable only in the case when the corresponding direct problems have the unique solution with some necessary properties such as continuity and regularity.
Kh. Khompysh, N.K. Nugymanova
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A sufficient condition for strong 𝐹-regularity [PDF]
Proceedings of the American Mathematical Society, 2015 Let ( R , m ,
De Stefani A, Nunez-Betancourt L
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PLoS Computational Biology, 2021 Texture regularity, such as the repeating pattern in a carpet, brickwork or tree bark, is a ubiquitous feature of the visual world. The perception of regularity has generally been studied using multi-element textures in which the degree of regularity has
Hua-Chun Sun +3 more
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Regularity conditions for vector-valued function algebras
, 2023 We consider several notions of regularity, including strong regularity, bounded relative units, and Ditkin's condition, in the setting of vector-valued function algebras.
Abtahi, M., Barqi, Z.
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A Range Condition for Polyconvex Variational Regularization [PDF]
Numerical Functional Analysis and Optimization, 2018 In the context of convex variational regularization it is a known result that, under suitable differentiability assumptions, source conditions in the form of variational inequalities imply range conditions, while the converse implication only holds under an additional restriction on the operator.
Kirisits, Clemens, Scherzer, Otmar
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Regularity conditions in the realisability problem in applications to point processes and random closed sets [PDF]
, 2015 We study existence of random elements with partially specified distributions. The technique relies on the existence of a positive ex-tension for linear functionals accompanied by additional conditions that ensure the regularity of the extension needed ...
Lachièze-Rey, Raphaël, Molchanov, Ilya
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Regularity Conditions for Non-Differentiable Infinite Programming Problems using Michel-Penot Subdifferential [PDF]
Control and Optimization in Applied Mathematics, 2016 In this paper we study optimization problems with infinite many inequality constraints on a Banach space where the objective function and the binding constraints are locally Lipschitz.
Nader Kanzi
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Improper regular conditional distributions
The Annals of Probability, 2001 Improper regular conditional distributions (rcd's) given a σ-field .A have the following anomalous property. For sets A ∈, Pr(A I A) is not always equal to the indicator of A. Such a property makes the conditional probability puzzling as a representation of uncertainty.
Seidenfeld, Teddy +2 more
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Condition-Number-Regularized Covariance Estimation [PDF]
Journal of the Royal Statistical Society Series B: Statistical Methodology, 2012 SummaryEstimation of high dimensional covariance matrices is known to be a difficult problem, has many applications and is of current interest to the larger statistics community. In many applications including the so-called ‘large p, small n’ setting, the estimate of the covariance matrix is required to be not only invertible but also well conditioned.
Won, Joong-Ho +3 more
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