# 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 ?
Q] is the smallest transitive relation containing Q
I] is a reflexive, symmetric and transitive relation, i.
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.
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.
For example, given that A1 is presented with B1 and B1 is presented with C1 during the SS presentations, the A1C1 relation tested during MTS is a transitive relation.
Three subjects showed a clear GBEP, 1 subject produced a very close result to the GBEP with errors on the transitive relation, and 1 subject failed to show the predicted pattern.
An equivalence relation is a relation between elements of a given set which is a reflexive, symmetric and transitive relation and which is such that any two elements of the set are either equivalent or not equivalent.
For BC, the directionality in the prerequisite BA and AC relations is the same (B |right arrow~ A |right arrow~ C); thus BC is a transitive relation.
MTS Test Each MTS test evaluated the emergence of the symmetrical relations BA, CB, DC, and ED, transitive relations AC, AD, AE, BD, BE, and CE, and equivalence relations CA, DA, EA, DB, EB, and EC.

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