Definitions for

**"Transitive"**Passing over to an object; expressing an action which is not limited to the agent or subject, but which requires an object to complete the sense; as, a transitive verb, for example, he holds the book.

a verb which takes a direct object; that is, a verb that expresses an action which directly affects another person or thing The man has a horse.

designating a verb that requires a direct object to complete the meaning

transitive relation relation is transitive iff for all elements x, y and z in the field of the relation, if x is related to y and y related to z then x is related to z. transitive set a set s is transitive iff every member of s is a subset of s.

a relation R is transitive over the set {} if for all xi,j or k in {X}, if xi R xj AND xj R xk, then xi R xk. For example, let R be "like" and {X} be people. Like is a transitive relation if every time a person A likes B, and person B likes C, then person A likes C. It is easy to find a counterexample to prove that in fact, "like" is not a transitive relation for people.

relation on a set is transitive, if x R y and y R z imply x R z, for all elements , , in .

Effected by transference of signification.

Having the power of making a transit, or passage.