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bn:02387400n
Noun Concept
Categories: Binary relations, Order theory, Set theory
EN
total order  (non-strict) ordering  ascending chain  chain  complete order  linear
EN
In mathematics, a total order or linear order is a partial order in which any two elements are comparable. Wikipedia
Definitions
Relations
Sources
EN
In mathematics, a total order or linear order is a partial order in which any two elements are comparable. Wikipedia
A partial order without incomparable pairs Wikipedia Disambiguation
Ordering relation where all elements can be compared, equality means identity; binary relation on some set, which is antisymmetric, transitive, and total Wikidata
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). Wiktionary
Partial order that applies an order to any two elements. Wiktionary (translation)
IS A
order theory
HAS KIND
shortlex order
well-order
monomial order
Countryman line
HAS INSTANCE
Dehornoy order
Wikipedia
EN
total order
Wikidata
EN
total order
Wiktionary
EN
total order
Wikipedia Redirections
EN
ascending chain, chain (order theory), complete order, Complete ordering, Complete total order, finite chain, finite total order, infinite descending chain, linear (order), linear order, linear ordering, linearly ordered, linearly ordered set, loset, Simple order, simply ordered set, strict linear order, strict total order, Toset, total (order theory), Total ordered set, total ordering, Total ordering relation, totally-ordered set, totally ordered, totally ordered set, TotalOrderedSet
Wikidata Alias
EN
chain, linear order, simple order, (non-strict) ordering

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