Transitivity: Difference between revisions
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* In [[mathematics]], a [[group action]] is '''transitive''' if it has just one [[orbit (mathematics)|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 [[mathematics]], a [[group action]] is '''transitive''' if it has just one [[orbit (mathematics)|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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Revision as of 00:12, 25 February 2004
- 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.
This disambiguation page lists articles associated with the title Transitivity.
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