Meanings
- not comparablemathematicsEquipped with a partial order; when the partial order is specified, often construed with by.
The chains in #92;mathcal#123;V#125; form a class #92;mathcal#123;C#125; which is partially ordered by inclusion.
1966, S. J. Taylor, Introduction to Measure and Integration, Cambridge University Press, page 222 more examples
This leads to the introduction of new kinds of abstract spaces—partially ordered linear spaces—and to their systematic use in functional analysis. The beginnings of a theory of partially ordered linear spaces are given in the works of L. V. Kantorovič in 1935-1937.
1963, L. V. Kantorovič, B. Z. Vulih, A. G. Pinsker, “Partially Ordered Groups and Partially Ordered Linear Spaces”, in A. L. Brudno, editor, American Mathematical Society Translations, Series 2, Volume 27: 18 papers on algebra, American Mathematical Society, page 512008, Patrik Eklund, M. Ángeles Galán, Partially Ordered Monads and Rough Sets, James F. Peters, Andrzej Skowron (editors), Transactions on Rough Sets VIII, Volume 8, Springer, LNCS 5084, page 53, In this paper we will show that partially ordered monads contain appropriate structure for modeling rough sets in a generalized relational setting.
Translations
Finnish osittain järjestetty
- osittain järjestettyTranslations
German partiell geordnet
- partiell geordnetTranslations
Polish uporządkowany
- uporządkowanyTranslations
Cite this entry
partially ordered. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/partially%20ordered
“partially ordered.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/partially%20ordered. Accessed November 3, 2026.
WatkinsX Dictionary, s.v. “partially ordered,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/partially%20ordered.
Source: partially ordered on Wiktionary, CC BY-SA 4.0.