Transitivity: Difference between revisions
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* In [[set theory]], a set is '''transitive''' if it contains all [[Element (mathematics)|element]]s of its elements. |
* In [[set theory]], a set is '''transitive''' if it contains all [[Element (mathematics)|element]]s of its elements. |
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* [[Transitive Corporation]] is a [[computer software]] firm based in [[Manchester, England]] and [[Los Gatos]], [[California]]. |
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Revision as of 08:27, 17 July 2005
- In grammar, a verb is transitive if it takes an object. See 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.
- Transitive Corporation is a computer software firm based in Manchester, England and Los Gatos, California.