# transitive relation

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## transitive relation

[′tran·səd·iv ri′lā·shən]
(mathematics)
A relation < on="" a="" set="" such="" that="" if="">a <>b and b <>c, then a <>c.
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References in periodicals archive ?
5 for details) shows that in a thin building parallelism is a transitive relation and thus is an equivalence relation on the set of all the residues.
e R is a fuzzy neutrosophic reflexive and transitive relation on U, and [R.
While logical implication based on classification is a transitive relation, causation in terms of dispositions is not.
If we take an arbitrary relation R on M then we can consider the smallest transitive relation containing R, so-called transitive closure, namely [R.
I] is a reflexive, symmetric and transitive relation, i.
a partial ordering is a reflexive, antisymmetric, and transitive relation, and a total ordering is a partial ordering with the additional property that any two elements of the universe of discourse are related either by the ordering or by its converse.
Critically, given that Bob's happiness is never directly related to Dan's happiness in the original statements, providing the correct answer requires making an inference based on the "mediating node" (Carry) in the transitive relation.
It is well known that any internal preorder, being a reflexive and transitive relation (R, [r.
For example, in the trial C < A; B > A, the first premise identifies a transitive relation between the nonadjacent coins A and C.
First, animals can learn not only simple association of each arm with rewards but also relative strength of each arm by abstracting the rule of "right is better than left," a transitive relation.
Results indicated that only the former participant demonstrated one symmetric relation and gradual emergence of the transitive relation and the symmetry of the transitive relation.
Finally, Subject 5 produced a pattern very close to the GBEP on his sixth GT (Set 9), but errors appeared on the transitive relation A-C.

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