Results 11 to 20 of about 63,918 (154)
On Null-Continuity of Monotone Measures
The null-continuity of monotone measures is a weaker condition than continuity from below and possesses many special properties. This paper further studies this structure characteristic of monotone measures.
Jun Li
doaj +1 more source
Correction to: Quantitative Approximation by Nonlinear Picard–Choquet, Gauss–Weierstrass–Choquet and Poisson–Cauchy–Choquet Singular Integrals [PDF]
By using the concept of Choquet nonlinear integral with respect to a submodular set function, we introduce the nonlinear Picard–Choquet operators, Gauss–Weierstrass–Choquet operators and Poisson–Cauchy–Choquet operators with respect to a family of submodular set functions. Quantitative approximation results of the order $$\omega _{1}(f; t)_{\mathbb {R}}
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Choquet integrals in potential theory [PDF]
This is a survey of various applications of the notion of the Choquet integral to questions in Potential Theory, i.e. the integral of a function with respect to a non-additive set function on subsets of Euclidean n-space, capacity.
Adams, David R.
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Fixing Einstein's equations [PDF]
Einstein's equations for general relativity, when viewed as a dynamical system for evolving initial data, have a serious flaw: they cannot be proven to be well-posed (except in special coordinates).
Anderson, Arlen, York, Jr, James W.
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Nonlinear nonnegative multiregressions based on Choquet integrals
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Zhenyuan +4 more
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Classification Model based on Choquet Integral Discriminant
At present, the classification method based on nonlinear integral has been widely used. In this paper, Choquet integral value is used as a nonlinear integral discriminant, and a new discriminant classification model is proposed.
Yaqing Qiao, Xuezhen Dai, Zaibin Chang
semanticscholar +1 more source
Distribution functions of linear combinations of lattice polynomials from the uniform distribution [PDF]
We give the distribution functions, the expected values, and the moments of linear combinations of lattice polynomials from the uniform distribution. Linear combinations of lattice polynomials, which include weighted sums, linear combinations of order ...
Kojadinovic, Ivan, Marichal, Jean-Luc
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Einstein-Bianchi Hyperbolic System for General Relativity [PDF]
By employing the Bianchi identities for the Riemann tensor in conjunction with the Einstein equations, we construct a first order symmetric hyperbolic system for the evolution part of the Cauchy problem of general relativity.
Anderson, Arlen +2 more
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The Dominant Balance at Cosmological Singularities [PDF]
We define the notion of a finite-time singularity of a vector field and then discuss a technique suitable for the asymptotic analysis of vector fields and their integral curves in the neighborhood of such a singularity.
Ablowitz M J +19 more
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Volterra-Choquet nonlinear operators [PDF]
In this paper we study to what extend some properties of the classical linear Volterra operators could be transferred to the nonlinear Volterra-Choquet operators, obtained by replacing the classical linear integral with respect to the Lebesgue measure ...
S. Gal
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