# equivalency

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Related to equivalence relation: Equivalence class

## e·quiv·a·lence

, equivalency (ē-kwiv'ă-lens, -len-sē),
1. The property of an element or radical of combining with or displacing, in definite and fixed proportion, another element or radical in a compound.
2. The point in a precipitin test at which antibody and antigen are present in optimal proportions.
[L. aequus, equal, + valentia, strength (valence)]

## e·quiv·a·lence

, equivalency (ē-kwiv'ă-lĕns, -lĕn-sē)
The property of an element or radical of combining with or displacing, in definite and fixed proportion, another element or radical in a compound.
[L. aequus, equal, + valentia, strength (valence)]
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References in periodicals archive ?
Clearly, transposition is an equivalence relation in [\[Z.sub.n]\.sup.m].
The right adjoint G is left exact and consequently preserves the monomorphims and the equivalence relations. Now let m : X' [right arrow] X be a monomorphism in C such that the monomorphism U(m) is normal to the equivalence relation R in D, namely such that we have a discrete fibration in D:
An equivalence relation [equivalent to] defined on [A.sup.*] is compatible with the Schutzenberger involution if for all u, v [member of] [A.sup.*], u [equivalent to] v implies [u.sup.#] = [v.sup.#].
The results of within-class relational preference tests documented the degree to which participants selected the comparison from the 1-node equivalence relation relative to comparisons from the 1- to 5-node transitive relations.
Definition 3.7 : Let U be an universe, R be an equivalence relation on U and F be a fuzzy set in U and if the collection [[tau].sub.F](F) = {[0.sub.N], [1.sub.N], [F.bar](F), [bar.F](F), [B.sub.F](F)} forms a topology then it is said to be a fuzzy nano topology.
Intuitively, when S is an equivalence relation, this fundamental theorem gives a way to compute [R.sub.s], by computing [mathematical expression not reproducible].
If (u, v) [member of] R, it indicates that the objects u and v belong to the same equivalence class with the equivalence relation R; they are indiscernible.
The equivalence relation IND(B) constitutes the partition of U, denoted by U/IND(B) and often abbreviated to U/B.
The addition operation defined by Definition 10 is a group operation over the set of fuzzy number equivalence classes F/[phi] up to the equivalence relation in Definition 7.
One of the main results of [6] gives a sufficient condition: the Mal'tsev property, that is, 2-permutability RS = SR of internal equivalence relations R, S on the same object.
Let U be a finite domain, let Z be an interval set on U, and let R be an equivalence relation on U.

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