Results 21 to 30 of about 1,955 (244)

Representations of bornologies

open access: yesApplied General Topology, 2022
Bornologies abstract the properties of bounded sets of a metric space. But there are unbounded bornologies on a metric space like $\mathcal{P}(\RR)$ with the Euclidean metric.
Homeira Pajoohesh
doaj   +1 more source

Convexity, Markov Operators, Approximation, and Related Optimization

open access: yesMathematics, 2022
The present review paper provides recent results on convexity and its applications to the constrained extension of linear operators, motivated by the existence of subgradients of continuous convex operators, the Markov moment problem and related Markov ...
Octav Olteanu
doaj   +1 more source

Extremal balleans

open access: yesApplied General Topology, 2019
A ballean (or coarse space) is a set endowed with a coarse structure. A ballean X is called normal if any two asymptotically disjoint subsets of X are asymptotically separated.
Igor Protasov
doaj   +1 more source

Three Representations for Set Partitions

open access: yesIEEE Access, 2021
The Set Partitioning Problem (SPP) aims to obtain non-empty disjoint subsets of objects such that their union equals the whole set of objects, and the partition meets some prespecified criteria.
Jose Torres-Jimenez   +4 more
doaj   +1 more source

On Hahn-Banach theorem and some of its applications

open access: yesOpen Mathematics, 2022
First, this work provides an overview of some of the Hahn-Banach type theorems. Of note, some of these extension results for linear operators found recent applications to isotonicity of convex operators on a convex cone.
Olteanu Octav
doaj   +1 more source

The sets that are scissor congruent to an unbounded convex subset of the plane [PDF]

open access: yesTransactions of the American Mathematical Society, 1976
It is shown that an unbounded convex plane body is scissor congruent to the union of a congruent body with a finite number of arbitrary topological discs. It is proved that ’is scissor congruent to’ is an equivalence relation. Thus two unbounded convex plane bodies are scissor congruent if and only if the union of one with a finite number of ...
openaire   +1 more source

Growth of Unbounded Subsets in Nilpotent Groups, Random Mapping Statistics and Geometry of Group Laws

open access: yesInternational Mathematics Research Notices, 2022
AbstractFor a group $G$ let $\gamma ^{\max }_G(n)$ denote the maximum number of length-$n$ words over an arbitrary $n$-letter subset of $G$. If $G$ is finitely generated and residually finite, then either $\gamma ^{\max }_G(n)$ is exponentially bounded, if and only if $G$ is virtually abelian, or $\gamma ^{\max }_G(n)\geq ~\left (e^{-\frac {1}{4}}+o(1)\
Be’eri Greenfeld, Hagai Lavner
openaire   +1 more source

Asymptotic behavior of non-autonomous fractional p-Laplacian equations driven by additive noise on unbounded domains

open access: yesBulletin of Mathematical Sciences, 2021
This paper deals with the asymptotic behavior of solutions to non-autonomous, fractional, stochastic p-Laplacian equations driven by additive white noise and random terms defined on the unbounded domain ℝN.
Renhai Wang, Bixiang Wang
doaj   +1 more source

A State of the Art Review of Systems of Linear Inequalities and Related Observability Problems

open access: yesAlgorithms, 2023
This work is a short review of the state of the art aiming to contribute to the use, disclosure, and propagation of systems of linear inequalities in real life, teaching, and research.
Enrique Castillo
doaj   +1 more source

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