Results 41 to 50 of about 72,312 (306)
Fractal and FractionalThis paper explores coherent upper conditional previsions, a class of nonlinear functionals that generalize expectations while preserving consistency properties.
Serena Doria
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Infinite System of Differential Equations in Some Spaces
Abstract and Applied Analysis, 2012 The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al.
M. Mursaleen, Abdullah Alotaibi
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Problem with two-point conditions for parabolic equation of second order on time
Karpatsʹkì Matematičnì Publìkacìï, 2014 The correctness of the problem with two-point conditions on time variable and Dirichlet-type conditions on spetial coordinates for the linear parabolic equations are established.
M.M. Symotyuk, I.R. Tymkiv
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On the dimension of a certain measure in the plane [PDF]
, 2013 We study the Hausdorff dimension of a measure related to a positive weak solution of a certain partial differential equation in a simply connected domain in the plane.
Dedicated John, L. Lewis, Murat Akman
core
Hausdorff measure functions [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 1973 In many contributions to the theory of Hausdorff measures, it has been the practice to place certain restrictions on the measure functions used. These restrictions usually ensure both the monotonicity and the continuity of the functions. The purpose of this work is to find conditions under which the restrictions of monotonicity and continuity may be ...
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Borel measures and Hausdorff distance [PDF]
Transactions of the American Mathematical Society, 1988 In this article we study the restriction of Borel measures defined on a metric space X X to the nonempty closed subsets CL ( X ) \operatorname {CL} (X) of X X , topologized by Hausdorff distance. We show that a σ \sigma -finite Radon measure is a
Beer, Gerald, Villar, Luzviminda
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Advanced Science, EarlyView.A luciferase is used as biosensor for aldehydes, produced enzymatically from different monomeric building blocks of plastics like polyurethanes (PUs). The screening platform is used to monitor esterase, amidase, and urethanase activity and to guide the selection of enzyme variants with improved hydrolytic activities toward difficult to hydrolyze ...
Ina Somvilla +12 more
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How to extend Carath\'eodory's theorem to lattice-valued functionals
Results in Nonlinear Analysis, 2020 Substituting in the definition of outer measure the addition with the maximum (or the supremum, or the join) operation we obtain a new set function called retuo measure. It is proved that every retuo measure is an outer measure.
Nutefe Kwami Agbeko
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Scrambling‐Enhanced Quantum Battery Charging in Black Hole Analogues
Advanced Science, EarlyView.By employing a black‐hole‐analog quantum battery constructed from a position‐dependent XY model, its dynamical behavior is investigated through a quench of the scrambling parameter. It is systematically quantified that how the simulated scrambling improves key performance metrics‐namely, stored energy, peak power, and charging time‐thereby offering a ...
Zhilong Liu +3 more
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The Hausdorff chirality measure and a proposed Hausdorff structure measure [PDF]
Molecular Physics, 2009 The Hausdorff chirality measure quantifies the chirality of a geometric representation of an object by measuring the degree of coincidence of the object with its mirror image. It can also allow comparison between a chiral dopant and host molecules which may illuminate mechanisms for chirality transfer.
Emmanuel O. Yewande +2 more
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