Results 21 to 30 of about 759,634 (294)

Entropy of Closure Operators and Network Coding Solvability

Entropy, 2014
The entropy of a closure operator has been recently proposed for the study of network coding and secret sharing. In this paper, we study closure operators in relation to their entropy. We first introduce four different kinds of rank functions for a given
Maximilien Gadouleau
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Operational closure and stability [PDF]

Annals of Pure and Applied Logic, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Level sets regularization with application to optimization problems

Cubo, 2020
Given a coupling function $c$ and a non empty subset of $\R$, we define a closure operator. We are interested in extended real-valued functions whose sub-level sets are closed for this operator. Since this class of functions is closed under pointwise
Moussa Barro, Sado Traoré
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Internal Neighbourhood Structures II: Closure and closed morphisms [PDF]

Categories and General Algebraic Structures with Applications, 2023
Internal preneighbourhood spaces inside any finitely complete category with finite coproducts and proper factorisation structure were first introduced in \cite{2020}.
Partha Pratim Ghosh
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Relations entre Psi_B et quelques représentations temps-fréquence [PDF]

, 2010
Psi_B operator is an energy operator that measures the interactions between two complex signals. In this letter, new properties of Psi_B operator are presented.
BOUDRAA, Abdel-Ouahab
core   +1 more source

Another closure operator on preneighbourhood spaces [PDF]

Categories and General Algebraic Structures with Applications
The notions of dense, proper, separated or perfect morphisms and hence of compact, Hausdorff or compact Hausdorff are all consequent to good properties of a family of closed morphisms is well known in literature.
Partha Ghosh
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An Approach to Change the Topology of a Topological Space [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this paper, we are going to introduce an approach to convert the topology of a topological space to another topology (in fact, a coarser topology).  For this purpose,  we consider  a topological space $(X, \tau)$ with a closed point $p$ of its points.
Amin Talabeigi, Maryam Talabeigi
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Closure operators I

Topology and its Applications, 1987
Closure operators form a familiar tool in topology. The authors introduce an abstract notion of closure operator in the realm of arbitrary categories. It turns out that there is a close connection between closure operators and factorization structures (for sinks).
DIKRANJAN, Dikran, . Giuli E.
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Efficient Algorithms on the Family Associated to an Implicational System [PDF]

Discrete Mathematics & Theoretical Computer Science, 2004
An implication system (IS) on a finite set S is a set of rules called Σ -implications of the kind A →_Σ B, with A,B ⊆ S. A subset X ⊆ S satisfies A →_Σ B when ''A ⊆ X implies B ⊆ X'' holds, so ISs can be used to describe constraints on sets of elements ...
Karell Bertet, Mirabelle Nebut
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Improved inclusion-exclusion identities via closure operators [PDF]

Discrete Mathematics & Theoretical Computer Science, 2000
Let (A_v)_v ∈ V be a finite family of sets. We establish an improved inclusion-exclusion identity for each closure operator on the power set of V having the unique base property.
Klaus Dohmen
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