Word.ws English Dictionary

total orders

total orders is the plural of total order.

Meaning of total order

Noun

total order (plural total orders)

  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).
    • […]we conclude §2.1 by showing how, given a triangulation #92;Delta (i.e., simplicial decomposition) of a closed oriented 3-manifilld M, and a total order '#92;le' on the set of vertices of #92;Delta, as well as a choice of a system #92;mathcal#123;B#125; of orthonormal bases for various Hilbert...2001, Vijay Kodiyalam, V. S. Sunder, Topological Quantum Field Theories from Subfactors, CRC Press (Chapman & Hall), page 2
    Synonyms:
    linear order, linear ordering, total ordering, total ordering relation

Questions about total orders

What is total orders the plural of?
Total orders is the plural of total order.

Words near total orders in the dictionary

  1. total object
  2. total objects
  3. total order
  4. total ordering relation
  5. total ordering relations
  6. total orders
  7. total package
  8. total quality management
  9. total recall
  10. total return
  11. total return swap

Source and license

Adapted from Wiktionary: total orders (page history and authors); total order (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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