# reflexive relation

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Related to Irreflexive: Antisymmetric

## reflexive relation

[ri′flek·siv ri‚lā·shən]
(mathematics)
A relation among the elements of a set such that every element stands in that relation to itself.
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References in periodicals archive ?
There are eight kinds of monomorphic directed graphs, four made of reflexive directed graphs, four made of irreflexive graphs.
Proposition 1 The precedence relation is irreflexive, antisymmetric, and transitive.
A partially ordered set relation is any relation that is either reflexive, transitive, and antisymmetric, or irreflexive, transitive, and asymmetric.
A (strict, partial) ordering on a set X is a transitive and irreflexive binary relation on X.
As the irreflexive author, his self "coincides with pure realism": embodying the phychologists manque, each of whom becomes a textual manifestation of Dennett's own transcendental perspective.
In the simplest case a strict well-ordering (that means, an irreflexive total order in which every subset of D has a smallest; element) is used.
We also stipulate that I is irreflexive, since a process cannot be interconnected to itself.
I use 'coextension' and its cognates for the reflexive relationship, 'coincidence' and its cognates for the irreflexive relationship.
The relation thus defined is meant to be irreflexive and transitive.
With an algebraic origin, this structure operates as an ordered structure, designating a set of elements provided with an ordering relation that is prescribed as irreflexive, antisymmetric, and transitive.
An important characteristic of "taller than" is that it stands for a relation that is transitive, asymmetric, and irreflexive.
Preference relations are irreflexive, asymmetric, and transitive.

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