reflexive relation


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Related to reflexive relation: Symmetric relation, Transitive relation

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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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is a reflexive graph (respectively, a reflexive relation) such that the point (d, e) belongs to S.
Since X is a Barr-exact Mal'tsev category, then any reflexive relation is necessary the kernel pair of its coequaliser.
Then [h.sub.1] [R.sub.e] [h.sub.1] and then [R.sub.e] is reflexive relation.
Also, let h [member of] X, but [R.sub.e], defined in Proposition 3.1, is reflexive relation. Then, for all e [member of] A, there exists [h.sub.e] such that, h [member of] [h.sub.e], and then h [member of] [h].sub.A].
If R is a stable reflexive relation on a monoid M then the transitive closure [R.sup.*] is a stable quasiorder on M.
Second, reflexive relations are often defined in terms of deduction rules, e.g., it may be known that the relation is symmetric or transitive.
Catullus himself uses this expression to emphasize the reflexive relation at 22.17 se ipse miratur, 31.5 vix mi ipse credens, 67.30 qui ipse sui gnati minxerit in gremium (emphasizing the incestuous relationship), 76.11 istinc te <ipse> reducis,(10) 88.8 non si demisso se ipse uoret capite (emphasizing the self-directed sexual act) and 107.5-6 ipsa refers te \ nobis.
Emphasizing the reflexive relation in Attis' horrific and unnatural act, it is entirely appropriate in context.
(iii) [R.sup.n] [less than or equal to] [R.sup.n-1] for any internal reflexive relation R in C
In stark contrast with the above result, recall that a regular category is Mal'tsev if and only if every reflexive relation in it is an equivalence relation, while on the other hand, the so-called Lawvere condition "all internal reflexive graphs are internal groupoids" means that the category is naturally Mal'tsev [4,12].
After mastery on the AB and BC relations had been demonstrated, Posttest 1 scores for reflexive relations (AA, BB, CC) remained high (see Figure 2).
A model for accessibility can represent reflexive relations, and/or symmetrical relations and/or relations of transitivity which means that the world at the centre of the system, with respect to which accessibility is measured, changes according to the logical model for accessibility posited in a given context.