Transitivity
Look up transitivity in Wiktionary, the free dictionary.
The word transitivity is used in severals contexts:
- In grammar, a verb is transitive if it takes an object. See Transitivity (grammatical category) and transitive verb.
- In logic and 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.
- In set theory, a set is transitive if it contains all elements of its elements. See transitive set.
Transitive may refer to:
- Transitive Corporation, a computer software firm based in Manchester, England and Los Gatos, California.
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