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Partition Relations and Transitivity Domains of Binary Relations

Journal of the London Mathematical Society, 1967
The main theorem is Theorem 2: For all positive integers \(m\) and \(n\), for some positive integer \(l(m,n)\), for each ordinal number \(\alpha\), \(\omega_\alpha l(m,n) \to (m,\omega_\alpha n)^2\); if \(l_\alpha(m,n)\) is the least such \(l(m,n)\) for a given \(\alpha\), then \(\gamma \mapsto(m,\omega_\alpha n)^2\) for each \(\gamma > \omega_\alpha ...
Erdős, Paul, Rado, R.
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Transitivity frameworks for reciprocal relations: cycle-transitivity versus -transitivity

Fuzzy Sets and Systems, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De Baets, B., De Meyer, H.
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Relational Transitions and Stress

2020
Abstract This chapter examines transitions that occur over the lifespan of romantic relationships, with a focus on marriages or partnerships with a similar long-term commitment. The chapter evaluates transitions that mark the early years of marriage (getting married and becoming parents), are sparked by unexpected challenges during the ...
Kellie St. Cyr Brisini   +1 more
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Peer relations in the transition to adolescence

2002
Publisher Summary This chapter deals with two social and emotional competencies—friendship quality and self-regulation. Children's perceptions of the quality of their close friendships are direct measure of an affective peer relationship. Self-regulation as perceived by others may be considered an indirect measure of peer relations.
Carollee, Howes, Julie Wargo, Aikins
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On the transitivity of the relation β in semihypergroups

Rendiconti del Circolo Matematico di Palermo, 1996
A significant result in the hypergroup theory is the one given by D. Freni in 1991, that is that in a hypergroup \(\beta=\beta^*\). The aim of the paper under review is to characterize semihypergroups in which the relation \(\beta\) is transitive. The main theorem gives a necessary and sufficient condition such that \(\beta\) is transitive.
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On computing the transitive closure of a state transition relation

Proceedings of the 30th international on Design automation conference - DAC '93, 1993
We describe a new, recursive-descent procedure for the computation of the transitive closure of a transition relation. This procedure is the classic binary matrix procedure of [1], adapted to a BDD data structure. We demonstrate its efficacy when compared to standard iterative methods.
Yusuke Matsunaga   +2 more
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Cyclic Evaluation of Transitivity of Reciprocal Relations

Social Choice and Welfare, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De Baets, B.   +3 more
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TRANSITIVITY OF  -RELATION ON HYPERMODULES

2008
iV In this paper we consider a strongly regular relation ƒa on hypermodules so that the quotient is amodule (with abelian group) over a fundamental commutative ring. Also, we state necessary and sufficientconditions so that the relation ƒa is transitive, and finally we prove that ƒa is transitive on hypermodules.
ANVARIYEH, S. M   +2 more
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RELATIONS ADMITTING A TRANSITIVE GROUP OF AUTOMORPHISMS

Mathematics of the USSR-Sbornik, 1975
The concepts of a Cayley relation of arbitrary arity and a quotient relation are defined. Cayley relations are characterized as those relations whose automorphism groups contain regular subgroups. The freedom of Cayley relations is proved: any relation with a transitive automorphism group is isomorphic to a quotient relation of a Cayley relation.Using ...
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