Transitivity: Difference between revisions

Browse history interactively

← Previous edit Next edit →

Content deleted Content added

VisualWikitext

Inline

Revision as of 14:41, 12 July 2011

The term 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
Topological transitivity, a property of dynamical systems
Transitive group action
Transitive relation, a binary relation
Transitive set
Vertex-transitive graph

Other

Transitive Corporation, a computer software firm that developed QuickTransit

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.

@@ Line 1: / Line 1: @@
+{{Wiktionarypar|transitivity}}
-{{Incomplete disambiguation|date=May 2011}}
-In [[mathematics]], the word '''''transitive''''' admits at least three distinct meanings:
+The term '''transitivity''' may refer to:
-* A [[group (mathematics)|group]] ''G'' acts '''transitively''' on a [[Set (mathematics)|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]].
+'''In grammar'''
-* 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]].
+* [[Intransitive verb]]
-* A '''[[transitive set]]''' is a [[Set (mathematics)|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.
+* [[Transitive verb]], when a verb takes an object
+* [[Transitivity (grammar)]]
+'''In logic and mathematics'''
-==See also==
+* [[Arc-transitive graph]]
+* [[Edge-transitive graph]]
+* [[Ergodic theory]], a group action that is metrically transitive
+* [[Topological transitivity#Topological mixing|Topological transitivity]], a property of dynamical systems
+* [[Transitive group action]]
+* [[Transitive relation]], a binary relation
+* [[Transitive set]]
+* [[Vertex-transitive graph]]
+'''Other'''
-* [[intransitivity]]
+* Transitive Corporation, a computer software firm that developed [[QuickTransit]]
-{{mathdab}}
+{{disambig}}
-[[de:Transitivität (Mathematik)]]
+[[de:Transitivität]]
-[[uk:Транзитивність]]
+[[es:Transitividad]]
+[[fr:Transitivité]]
+[[fi:Transitiivisuus]]