Usually means: Set with a complete order.
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We found 11 dictionaries that define the word totally ordered set:

General (4 matching dictionaries)
  1. totally ordered set: Wiktionary
  2. totally ordered set: Infoplease Dictionary
  3. totally ordered set: Dictionary.com
  4. Totally ordered set: Wikipedia, the Free Encyclopedia

Computing (2 matching dictionaries)
  1. totally ordered set: Free On-line Dictionary of Computing
  2. Totally-ordered set, totally ordered set: Encyclopedia

Medicine (1 matching dictionary)
  1. online medical dictionary (No longer online)

Science (4 matching dictionaries)
  1. A Glossary of Mathematical Terms (No longer online)
  2. Totally Ordered Set: Eric Weisstein's World of Mathematics
  3. totally-ordered set, totally ordered set: PlanetMath Encyclopedia
  4. FOLDOP - Free On Line Dictionary Of Philosophy (No longer online)

Definitions from Wiktionary (totally ordered set)

noun:  (set theory) A set having a specified total order.

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