Word.ws English Dictionary

total order

total order noun: 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).

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
    • Example 6.2.2. Suppose A is a finite set and R is a partial order on A. Prove that R can be extended to a total order on A. In other words, prove that there is a total order T on A such that R ⊆ T.2006, Daniel J. Velleman, How to Prove It: A Structured Approach, 2nd edition, Cambridge University Press, page 269
    Synonyms:
    linear order, linear ordering, total ordering, total ordering relation

total order meaning in Tamil

total order in Tamil

முழுவரிசை

Synonyms of total order

Forms of total order

pluraltotal orders

Questions about total order

What does total order mean?
Total order means 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).
What is total order in Tamil?
Total order in Tamil is முழுவரிசை. See Total order meaning in Tamil.
What part of speech is total order?
Total order is a noun.
What is the plural of total order?
The plural of total order is total orders.

Words near total order in the dictionary

  1. total internal reflexions
  2. total loss
  3. total losses
  4. total object
  5. total objects
  6. total order
  7. total ordering relation
  8. total ordering relations
  9. total orders
  10. total package
  11. total quality management

Source and license

Adapted from Wiktionary: total order (page history and authors); total order (Tamil Wiktionary) (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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