Transitivity
Look up transitivity in Wiktionary, the free dictionary.
Transitivity may refer to:
In grammar
- Intransitive verb
- Transitive verb, when a verb takes an object
- Transitivity (grammar)
In logic and mathematics
- Arc-transitive graph
- Edge-transitive graph
- Ergodic theory, a group action that is metrically transitive
- Transitive relation, a binary relation
- Vertex-transitive graph
- A group G acts transitively on a set S if for any x, y ∈ S, there is some g ∈ G such that gx = y. See group action. A somewhat related meaning is explained at ergodic theory.
- A binary relation is transitive if whenever A is related to B and B is related to C, then A is related to C, for all A, B, and C in the domain of the relation. See transitive relation.
- A transitive set is a set A such that whenever x ∈ A, and y ∈ x, then y ∈ A. The smallest transitive set containing a set A is called the transitive closure of A.
- A discrete dynamical system f is topologically transitive if every open subset U' of the phase space intersects every other open subset V, when going along trajectory, i.e. there exists an integer n, for which .
Other
- Transitive Corporation, a computer software firm that developed QuickTransit
See also
This disambiguation page lists articles associated with the title Transitivity.
If an internal link led you here, you may wish to change the link to point directly to the intended article.
If an internal link led you here, you may wish to change the link to point directly to the intended article.
This disambiguation page lists mathematics articles associated with the same title.
If an internal link led you here, you may wish to change the link to point directly to the intended article.
If an internal link led you here, you may wish to change the link to point directly to the intended article.