English Explanatory Dictionary

total order

English dictionary entry

Meanings

noun
  1. 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).

Word forms

total order total orders

Synonyms

linear order linear ordering total ordering total ordering relation

Related words

totally ordered totally ordered set chain connex property connex relation trichotomy
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