equivalence classes


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equivalence classes

[i′kwiv·ə·ləns ‚klas·əs]
(mathematics)
The collection of pairwise disjoint subsets determined by an equivalence relation on a set; two elements are in the same equivalence class if and only if they are equivalent under the given relation.
References in periodicals archive ?
A number of studies have shown that the emergence of equivalence classes is a direct function of the repeated presentations of emergent-relations test trials (Devany, Hayes, & Nelson, 1986; Fields, Adams, Newman, & Verhave, 1992; Fields, Adams, Verhave, & Newman, 1990; Holth & Amtzen, 1998; Kennedy & Laitinen, 1988; Saunders, Wachter, & Spradlin, 1988; Sidman, Kirk, & Willson-Monis, 1985, Sidman, Willson-Morris, & Kirk, 1986; Sigurdardottir, Green, & Saunders, 1990; Spradlin, Cotter, & Baxley, 1973).
Suppose the equivalence classes with respect to the aforementioned equivalence relation are [E.
Independence-based methods like the PC algorithm can discover causal structures only up to Markov equivalence classes, that is some arrows remain undirected.
In this case we can directly calculate power of equivalence classes of n, which belong to segment [1, N].
A table is said to have (n,t) closeness if all equivalence classes have (n,t) closeness .
This paper explicates the claim that numbers are abstract objects introduced for the purpose of counting by combining a deflationary account of abstraction as a device for picking out representatives for equivalence classes of concepts with a nonreductionist view of cardinality as a logical notion.
Consequently, RFT employs a somewhat different nomenclature to the terms that define stimulus equivalence classes alone.
The equivalence classes have the shape {(a, [alpha]); a [member of] Q} for a [member of] K .
Here, in the first pass preliminary labels are assigned and equivalences between labels are registered, and in the second pass these correspondences are resolved into equivalence classes.
It was quickly determined that these stimuli impact the formation of equivalence classes.
In section 4, we introduce the hybrid clustering technique for generating equivalence classes.
With the help of linguistic variables and terms, marketers may describe equivalence classes more intuitively (excellent loyalty, medium loyalty, weak loyalty).