equivalence relation


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Related to equivalence relation: Equivalence class

equivalence relation

n.
A reflexive, symmetric, and transitive relationship between elements of a set, such as congruence for the set of all triangles in a plane.

equivalence relation

n
(Logic) logic maths a relation that is reflexive, symmetric, and transitive: it imposes a partition on its domain of definition so that two elements belong to the same subset if and only if the relation holds between them
Translations
relace ekvivalence
relacija ekvivalencije
References in periodicals archive ?
In Section 3, we discuss a canonical way to put an equivalence relation on P when it is a lattice and give three simple conditions which together imply that [chi](P, t) has nonnegative integral roots.
Assume that T is a nonempty closed subset of R and E is an equivalence relation on T.
In this case, the word "means" functions as a Crel that establishes an equivalence relation between "cupan," "cup" and actual cups.
We call [theta] the equivalence relation ofthe extension and the equivalence classes of 9 the equivalence classes of the extension.
He pairs music and math concepts such as scales and modular arithmetic, octave identification and equivalence relation, intervals and logarithms, equal temperament and exponents, overtones and integers, tone and trigonometry, and tuning and rationality.
For example, the equivalence relation between the DCF and economic profit models provides opportunities to double-check calculations.
In the construction by Aharonov and Anandan one considers an open path in Hilbert space which is projected to a path in Ray space by use of the equivalence relation in Eq.
Recall that an equivalence relation = defined on [A.
In one context the equivalence relation would place documents that are similar to each other in the same class using probability model.
As described above, when an equivalence relation is established, arbitrary stimuli are substitutable for one another such that a = b.
Some theorize that language is a mediating variable in a process in which an equivalence relation is the outcome (e.
In accordance with the definition by Sidman (2000), "the equivalence relation consists of ordered pairs of all positive elements that participate in the reinforcement contingency" (Sidman 2000, p.