Results 1 to 10 of about 2,916,163 (259)
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
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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
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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
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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
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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
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Selective Games on Binary Relations [PDF]
Topology and its Applications, 2014 We present a unified approach, based on dominating families in binary relations, for the study of topological properties defined in terms of selection principles and the games associated to them.Comment: 28 ...
Dias, Rodrigo R., Scheepers, Marion
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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
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A note on first-order spectra with binary relations [PDF]
Logical Methods in Computer Science, 2018 The spectrum of a first-order sentence is the set of the cardinalities of its finite models. In this paper, we consider the spectra of sentences over binary relations that use at least three variables.
Eryk Kopczynski, Tony Tan
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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
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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
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