💡 Words with a Similar Meaning to "Linear order"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| totally ordered setnoun | (set theory) A set having a specified total order. |
| well-ordernoun | (set theory, order theory) A total order of some set such that every nonempty subset contains a least element. |
| total ordering relationnoun | (mathematics, rare) A total order. |
| ordernoun | (countable) A command. |
| ordered setnoun | (mathematics) A totally 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). |
| chainnoun | A series of interconnected rings or links usually made of metal. |
| 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. |
| partial ordering relationnoun | (set theory) A partial order. |
| partially ordered setnoun | (set theory, order theory, loosely) A set that has a given, elsewhere specified partial order. |
| order typenoun | (set theory) In the context of sets equipped with an order (especially, the context of totally ordered sets), the characteristic of being a member of some equivalence class of such sets under the equivalence relation "existence of an order-preserving bijection". |
| 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. |
| posetnoun | (set theory, order theory) A partially ordered set. |
| preordernoun | An order for goods or services placed in advance. |
| 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 ) |
| prewellorderingnoun | (mathematics, set theory) A binary relation that is transitive, total, and well-founded. |
| filtrationnoun | The act or process of filtering; the mechanical separation of a liquid from the undissolved particles floating in it. |
| quasiordernoun | (set theory) A preorder. |
| strict orderingnoun | (mathematics) A relation which is asymmetric and transitive. |
| 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. |
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