equivalence relation in a sentence

Examples

1. A relation that is reflexive, symmetric, and transitive is called an equivalence relation.
2. A recent area of research concerns Borel equivalence relations and more complicated definable equivalence relations.
3. A recent area of research concerns Borel equivalence relations and more complicated definable equivalence relations.
4. This is an equivalence relation on characters.
5. Scissors-congruence is an equivalence relation.
6. Taking the quotient by this equivalence relation yields the structure sheaf of an ordinary scheme.
7. This provides a strong backing to the theory that Equivalence relations can form without language.
8. The equivalence relation is given by stabilization with respect to hyperbolic ?-quadratic forms:
9. These are all equivalence relations on the class of structures with the given relation symbols.
10. The relation of being homotopic is an equivalence relation on paths in a topological space.