Transitivity - Definition and Overview

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 transitive relation, intransitivity.

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.

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