💡 Words with a Similar Meaning to "Strict ordering"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| 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. |
| preordernoun | An order for goods or services placed in advance. |
| partial ordering relationnoun | (set theory) A partial order. |
| total ordering relationnoun | (mathematics, rare) A total order. |
| 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). |
| equivalence relationnoun | (set theory) A binary relation that is reflexive, symmetric and transitive. |
| ordernoun | (countable) A command. |
| wellorderingnoun | Alternative form of well-ordering. [(mathematics) Synonym of well-order.] |
| well-orderingnoun | (mathematics) Synonym of well-order. |
| ordered setnoun | (mathematics) A totally ordered set. |
| prewellorderingnoun | (mathematics, set theory) A binary relation that is transitive, total, and well-founded. |
| relationnoun | The manner in which two things may be associated. |
| linear ordernoun | (set theory, order theory) total order |
| semiordernoun | (mathematics) A type of order that is not wholly comparable |
| antisymmetrynoun | (mathematics, set theory) The condition of being antisymmetric. |
| ordered fieldnoun | (algebra) A field which has an order relation satisfying these properties: trichotomy, transitivity, preservation of an inequality when the same element is added to both sides, and preservation of an inequality when the same strictly positive element is multiplied to both sides. |
| well-quasi-orderingnoun | (mathematics) A preorder where every infinite sequence has an infinite increasing subsequence. |
| well-ordernoun | (set theory, order theory) A total order of some set such that every nonempty subset contains a least element. |
| lexicographic ordernoun | (mathematics) Given sets (A₁, A₂, ..., Aₙ) and their total orderings (<₁, <₂, ..., <ₙ), the order <ᵈ of A₁ × A₂ × ... × Aₙ such that (a₁, a₂, ..., aₙ) <ᵈ (b₁,b₂, ..., bₙ) iff (∃m > 0) (∀ i < m) (aᵢ = bᵢ ) and (aₘ <ₘ bₘ ) |
| trichotomynoun | Division or separation into three groups or pieces. |
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