Definition of "transitive" in Englisch

adjective

1. Making a transit or passage.

2. Affected by transference of signification.

3. (grammar, of a verb) Taking a direct object or objects.

   • The English verb "to notice" is a transitive verb, because we say things like "She noticed a problem".

4. (set theory, of a relation on a set) Having the property that if an element a is related to b and b is related to c, then a is necessarily related to c.

   • "Is an ancestor of" is a transitive relation: if Alice is an ancestor of Bob, and Bob is an ancestor of Carol, then Alice is an ancestor of Carol.

5. (algebra, of a group action) Such that, for any two elements of the acted-upon set, some group element maps the first to the second.

6. (graph theory, of a graph) Such that, for any two vertices there exists an automorphism which maps one to the other.

7. (probability) Of a set of dice: not having the intransitive property.

noun

1. (grammar) A transitive verb.