Ekvivalentsuslik

Ekvivalentsuslik is an Estonian adjective meaning equivalent or having equivalence. It is used to describe relationships, properties, or objects that are considered interchangeable under a specified criterion or under a given equivalence relation. In mathematical and logical texts, ekvivalentsuslik describes connections where two elements share the same status with respect to a particular notion of sameness.

In mathematics, ekvivalentsuslik is often applied to objects related by an equivalence relation. An equivalence relation is a binary relation that is reflexive, symmetric, and transitive, which partitions a set into equivalence classes. Items that are ekvivalentsuslik with respect to this relation belong to the same class and are treated as interchangeable for the purposes of the discussion. For example, two integers can be ekvivalentsuslik modulo n if they yield the same remainder when divided by n; two logical formulas can be ekvivalentsuslik if they have the same truth value in all interpretations (logical equivalence).

In practical use, ekvivalentsuslik emphasizes the idea of sameness under a defined criterion rather than absolute identity. The term is common in Estonian-language mathematics, logic, and theoretical computer science texts, and it appears in discussions of equivalence relations, quotient structures, and concept of sameness across representations. The word is formed from ekvivalentsus (equivalence) with the adjectival suffix -lik, reflecting its role as a descriptive attribute.