equivalence relation in a sentence

Examples

1. This classification induces an equivalence relation on the space of closed forms in.
2. Another example illustrates the refining of partitions from the perspective of equivalence relations.
3. Equinumerosity has the characteristic properties of an equivalence relation.
4. The admissiable equivalences are given by the definition of an adequate equivalence relation.
5. From this equivalence relation, the prisoners get a collection of equivalence classes.
6. Evidently, conformality of metrics is an equivalence relation.
7. The theory of equivalence relations is a regular theory.
8. Clearly, different dependencies will give different equivalence relations.
9. It is clear that ~ is an equivalence relation.
10. Do you know the definition of an equivalence relation?