💡 Words with a Similar Meaning to "Partial ordering relation"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| partially ordered setnoun | (set theory, order theory, loosely) A set that has a given, elsewhere specified partial order. |
| ordernoun | (countable) A command. |
| ordered setnoun | (mathematics) A totally ordered set. |
| partial ordernoun | (set theory, order theory) (informal) An ordering of the elements of a collection that behaves like that of the natural numbers by size, except that some elements may not be comparable (if all elements are comparable, it is called a total order); (formal) a binary relation that is reflexive, antisymmetric, and transitive. |
| posetnoun | (set theory, order theory) A partially ordered set. |
| total ordernoun | (set theory, order theory) A partial order, ≤, (a binary relation that is reflexive, antisymmetric, and transitive) on some set S, such that any two elements of S are comparable (for any x, y ∈ S, either x ≤ y or y ≤ x). |
| quasiordernoun | (set theory) A preorder. |
| well-ordernoun | (set theory, order theory) A total order of some set such that every nonempty subset contains a least element. |
| linear ordernoun | (set theory, order theory) total order |
| totally ordered setnoun | (set theory) A set having a specified total order. |
| strict orderingnoun | (mathematics) A relation which is asymmetric and transitive. |
| total ordering relationnoun | (mathematics, rare) A total order. |
| binary relationnoun | (set theory, order theory, "on" a set A) A subset of the Cartesian product A×A (the set of ordered pairs (a, b) of elements of A, alternatively written as A²). |
| relationnoun | The manner in which two things may be associated. |
| preordernoun | An order for goods or services placed in advance. |
| ordered ringnoun | (algebra, order theory, ring theory) A ring, R, equipped with a total order, ≤, such that for arbitrary a, b, c ∈ R, if a ≤ b then a + c ≤ b + c, and if, additionally, 0 ≤ c, then both ca ≤ cb and ac ≤ bc. |
| antichainnoun | (set theory, order theory, graph theory) A subset, A, of a partially ordered set, (P, ≤), such that no two elements of A are comparable with respect to ≤. |
| selectionnoun | The process or act of selecting. |
| pomsetnoun | (mathematics) Partial ordered multiset. |
| idealnoun | A perfect standard of beauty, intellect etc., or a standard of excellence to aim at. |
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