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Related to equivalence relation: Equivalence class
See: parity
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Definition 4 Let P be a poset and let ~ be an equivalence relation on P.
with respect to the triple (t, E, [alpha]) where T [subset equal to] R is a nonempty closed subset, E is the universal equivalence relation and [alpha] = sup t coincide with the corresponding ones with respect to the classical time scale, defined by Stefan Hilger [13,14,24-26].
From the perspective of RFT, the transformation of discriminative functions through equivalence relations is deemed to be functionally similar to the behaviour of a young child who responds appropriately to a symbol or word without a history of explicit training/and or reinforcement.
T[member of]BT] the basis of PBT defined in accordance with (6) by the sylvester equivalence relation [[equivalent to].
Horne and Lowe (1996) have argued that species specific variables may have been responsible for positive outcomes on equivalence tests, and that the direct teaching of one type of symmetrical relation may have negated the emergent characteristic of the equivalence relations.
Recall that the theory also requires that any elements that conflict with the development of analytic units must selectively drop out of the equivalence relation.
Participant 9501 emitted 705 training trials to reach the criterion for moving to the test phase, and the directly trained trials were intact during the test, whereas he did not respond in accordance to the experimenter-defined contingency on the test for symmetry, and responding was around chance level on the equivalence relations.
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.
This finding was attributed to social learning history rather than an inability to form equivalence relations, as all participants were required to pass a preliminary task in which arbitrary stimuli were used in order to be included in the analysis.
A third procedure is respondent-type training in which each sample is followed by its correct comparison in unreinforced pairings, though the demonstration of the resultant emergent equivalence relations requires an MTS test procedure.
of North Texas) presents a study of equivalence relations and classification problems that includes an introduction to basic concepts as well as a review of classical descriptions of set theory.
1991) and ordering (Wulfert & Hayes, 1988) functions can transfer, in accordance with equivalence relations, without a prior MTS test for such relations.