partially ordered set

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partially ordered set

noun partially ordered sets

  1. broadly A set that has a given, elsewhere specified partial order.
  2. formal The ordered pair comprising a set and its partial order. 1959 [D. Van Nostrand], Edward James McShane, Truman Arthur Botts, Real Analysis, 2005, Dover, page 28, A partially ordered set means a pair (P,≻) consisting of a set P and a partial order ≻ in P. As usual, when the meaning is clear, we may suppress the notation of "≻" and speak of the partially ord

Similar: ground set, poset, partially ordered set

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noun set having a specified partial order

Españolconjunto parcialmente ordenado, poset, copo
日本語半順序集合 hanjunjo-shūgō
Deutschpartiell geordnete Menge
العربيةفِئَةٌ مُرَتَّبَةٌ جُزْئِيًّا fiʔatun murattabatun juzʔiyyan, مَجْمُوعَةٌ مُرَتَّبَةٌ جُزْئِيًّا majmūʕatun murattabatun juzʔiyyan

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MLA

"partially ordered set." Wiktionary, via Micwyn, micwyn.com/word/partially%20ordered%20set. Accessed 6 Nov. 2026.

APA

partially ordered set. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/partially%20ordered%20set

Chicago

"partially ordered set." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/partially%20ordered%20set.

BibTeX
@misc{partially_ordered_set_2026,
  title = {partially ordered set},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/partially%20ordered%20set},
  urldate = {2026-11-06}
}