Results 11 to 20 of about 215 (138)
Further Results on Lusin’s Theorem for Uncertain Variables
SymmetryIn order to treat the degree of belief rationally, Baoding Liu created uncertainty theory. An uncertain variable, as a measurable function from an uncertainty space to the set of real numbers, is a basic concept in uncertainty theory.
Zhaojun Zong, Deguo Yang, Feng Hu
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Journal of Mathematical Analysis and Applications, 2017 In this paper we consider a general d-dimensional second-order elliptic Partial Differential Equation (PDE) with variable coefficients, and we extend previous results on the spectral distribution of discretization matrices arising from B-spline ...
Carlo Garoni +2 more
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On a Theorem of Banach and Kuratowski and $K$-Lusin Sets
Rocky Mountain Journal of Mathematics, 2003 In a paper of 1929, Banach and Kuratowski proved, assuming the continuum hypothesis, a combinatorial theorem which implies that there is no non-vanishing sigma-additive finite measure on the real line which is defined for every set of reals. It will be shown that the combinatorial theorem is equivalent to the existence of a K-Lusin set of size the ...
Tomek Bartoszyński, Lorenz Halbeisen
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ON LUSIN'S THEOREM IN THE ASPECT OF SMALL SYSTEMS
Demonstratio Mathematica, 1995 Let \(S\) be a \(\sigma\)-algebra of subsets of a set \(X\). By a small system a sequence of families \((N_n)_n\subset S\) satisfying some axioms is understood. If \(m\) is a positive measure, then the family \(N_n\) of all sets of a measure less than \(1/n\) can serve as an example.
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An analog of the Lusin-Privaloff radial uniqueness theorem [PDF]
Proceedings of the American Mathematical Society, 1970 1. Let D={IzI 0 for each subarc A' of A. Barth and Schneider have proved the following analog of the F. and M. Riesz uniqueness theorem for bounded holomorphic functions.
K. F. Tse
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A Lusin theorem for a class of Choquet capacities
Statistical Papers, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adriana Castaldo, Massimo Marinacci
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Normal bundle and Almgren’s geometric inequality for singular varieties of bounded mean curvature [PDF]
Bulletin of Mathematical Sciences, 2020 In this paper we deal with a class of varieties of bounded mean curvature in the viscosity sense that has the remarkable property to contain the blow up sets of all sequences of varifolds whose mean curvatures are uniformly bounded and whose boundaries ...
Mario Santilli
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Lusin-type theorem for functions with prescribed gradient [PDF]
openIn the first part of this thesis we discuss and prove a theorem by Giovanni Alberti whose statement shares similarities to that of Lusin's Theorem, hence the "Lusin-type theorem" definition.
PRATI, EMANUELE
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A Constructive Version of the Lusin Separation Theorem
, 2009 I state and prove a constructive version of the Lusin Separation Theorem. The classical statement of the theorem is that disjoint analytic sets are Borel separable. The definitions and results are carried out in the axiom system CZF for constructive set theory.
Peter Aczel
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Variations on Lusin's Theorem [PDF]
Transactions of the American Mathematical Society, 1987 We prove a theorem about continuous restrictions of Marczewski measurable functions to large sets. This theorem is closely related to the theorem of Lusin about continuous restrictions of Lebesgue measurable functions to sets of positive measure and the theorem of Nikodým and Kuratowski about continuous restrictions of functions with the Baire property
Brown, Jack B., Prikry, Karel
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