Results 1 to 10 of about 2,902,153 (358)
Partitioned binary relations [PDF]
MATHEMATICA SCANDINAVICA, 2011 We define the category of partitioned binary relations and show that it contains many classical diagram categories, including categories of binary relations, maps, injective maps, partitions, (oriented) Brauer diagrams and (oriented) Temperley-Lieb diagrams.
Paul Martin, Volodymyr Mazorchuk
semanticscholar +7 more sources
Almost Contractions under Binary Relations
Axioms, 2022 After the introduction of almost contraction due to Berinde, the branch of metric fixed point theory has attracted much attention in this direction, and various fixed point results have been proved for almost contractions via different approaches.
Faizan Ahmad Khan
doaj +2 more sources
A theorem on the semigroup of binary relations [PDF]
Proceedings of the American Mathematical Society, 1969 PROOF. Necessity. Let p =p5p, where 5 ESx. Let o = 6p, then o2 = andp =po-. It is known in [1] that L(of) and L(p) are complete lattices in which joins are unions and, moreover, L(of) is completely distributive. If A CX, then it is easy to show that {t(A) =4t(4(A)) and +(A) =x(+1(A)) where c(A)EL(o-), ql(A)EL(p) and X(A)EL(a). Define the mapping 0 of L(
Jaw-ching Yang
openalex +3 more sources
Binary and ternary relations [PDF]
Mathematica Bohemica, 1992 Let \(G\) be a set, \(\rho\) a binary relation on \(G\). Further, let \(r\) be a binary relation on the set \(\rho\) with the property \(\alpha=(x,y)\in\rho\), \(\beta=(z,u)\in\rho\), \((\alpha,\beta)\in r\Rightarrow y=z\). Then \(r\) is called a binding relation on \(\rho\), and \((G,\rho,r)\) is called a double binary structure.
Vítězslav Novák, Miroslav Novotný
openalex +4 more sources
On Some Properties of Binary Relations [PDF]
Nagoya Mathematical Journal, 1957 Some important notions in the theory of binary relations such as the relative product of two relations and the converse of a relation are defined in Whitehead and Russell’s “Principia mathematica” ([1]). McKinsey ([2]) and Tarski ([3]) gave their systems of postulates for the calculus of relations.
Katuzi Ono
openalex +5 more sources
Binary relations in the space of binary relations. I. [PDF]
Applied Mathematical Sciences, 2014 This article formulates principles of extension, saturation and convergence, and shows how to implement them. In socio-economic systems, there are "reference groups", with the indicators of which the results of the research and experimentation are compared.
V. V. Kolbin
openaire +2 more sources
Classical and Quantum Gravity, 2016 When in a tight binary, the mutual tidal deformations of neutron stars imprint onto observables, encoding information about their internal structure at supranuclear densities and gravity in the extreme-gravity regime. Gravitational wave observations of their late binary inspiral may serve as a tool to extract the individual tidal deformabilities, but ...
Nicolás Yunes, Kent Yagi, Kent Yagi
openaire +5 more sources
Distributivity of lattices of binary relations [PDF]
Mathematica Bohemica, 2002 Summary: We present a formal scheme which, whenever satisfied by relations of a given relational lattice \(L\) containing only reflexive and transitive relations, ensures distributivity of \(L\).
Ivan Chajda
openalex +3 more sources
Binary relations and reduced hypergroups
Discrete Mathematics, 2007 AbstractDifferent partial hypergroupoids are associated with binary relations defined on a set H. In this paper we find sufficient and necessary conditions for these hypergroupoids in order to be reduced hypergroups. Given two binary relations ρ and σ on H we investigate when the hypergroups associated with the relations ρ∩σ, ρ∪σ and ρσ are reduced. We
Irina Cristea, Mirela Ştefănescu
openalex +3 more sources
A construction for idempotent binary relations [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1970 Boris M. Schein
openalex +4 more sources