Results 11 to 20 of about 63,918 (154)

On Null-Continuity of Monotone Measures

open access: yesMathematics, 2020
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]

open access: yesResults in Mathematics, 2020
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}}
openaire   +1 more source

Choquet integrals in potential theory [PDF]

open access: yes, 1998
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.
core   +3 more sources

Fixing Einstein's equations [PDF]

open access: yes, 1999
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.
core   +3 more sources

Nonlinear nonnegative multiregressions based on Choquet integrals

open access: yesInternational Journal of Approximate Reasoning, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Zhenyuan   +4 more
openaire   +2 more sources

Classification Model based on Choquet Integral Discriminant

open access: yesJournal of Physics: Conference Series, 2020
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]

open access: yes, 2007
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
core   +3 more sources

Einstein-Bianchi Hyperbolic System for General Relativity [PDF]

open access: yes, 1997
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
core   +2 more sources

The Dominant Balance at Cosmological Singularities [PDF]

open access: yes, 2006
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
core   +3 more sources

Volterra-Choquet nonlinear operators [PDF]

open access: yes, 2020
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
semanticscholar   +1 more source

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