Sentence examples for equivalence relations from inspiring English sources

As shown in Figure 1, SE tests to assess derived relational responding involved presenting Symmetry, Transitivity and Equivalence relations.

Relations that have all three of these properties reflexivity, symmetry, and transitivity are called equivalence relations.

But not all equivalence relations satisfy LL.

(2) Identity relations are equivalence relations.

end{aligned}Obviously, these are equivalence relations.

The results follow from the equivalence relations (3.7).

We introduce the notion of sofic measurable equivalence relations.

There are, however, equivalence relations that do satisfy restricted forms of LL.

For instance, they can be one-one (equivalence relations) or many-one ("mere" supervenience relations).

Our proof for these necessary and sufficient conditions for global exponential observers if via defining two equivalence relations known as horizontal and vertical equivalence relations, and constructing two foliations known as horizontal and vertical foliations from these equivalence relations.

Remark 2.3 It is often convenient to work with equivalence relations rather than partitions.