- In grammar, a verb is
**transitive**if it takes an object. See transitive verb. - In mathematics, a binary relation
*R*is**transitive**if*xRy*and*yRz*together imply*xRz*. For example, the*less-than*relation is transitive. See transitivity. - In mathematics, a group action is
**transitive**if it has just one orbit. It is called**doubly transitive**if it is transitive on ordered pairs of distinct elements; and so on for**triply transitive**, etc.. An ergodic group action is also called*metrically transitive*.