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单词 poset
释义

posetn.

Brit. /ˈpəʊsɛt/, U.S. /ˈpoʊˌsɛt/
Origin: Formed within English, by compounding. Etymons: English partially ordered , set n.2
Etymology: < the initial letters of partially ordered + set n.2
Mathematics.
A set whose members exhibit partial ordering. Cf. partial ordering n. at partial adj. and n. Compounds.
ΚΠ
1948 G. Birkhoff Lattice Theory (ed. 2) i. 1 The author also suggests the convenient abbreviation ‘poset’, for partly ordered set.
1969 Communications in Math. Physics 14 326 (heading) A particular non-atomistic orthomodular poset.
1990 Proc. London Math. Soc. 61 617 In the present paper, the shadow geometry associated to an incidence geometry.., and a distinguished set of types, is an abstract poset which in important cases is isomorphic to the poset of subspaces of the classical shadow geometry.
1999 Sociol. Methodology 29 140 For a belief poset, α ≦ Β means either that belief α precedes belief Β or that the two beliefs are equivalent.
This is a new entry (OED Third Edition, December 2006; most recently modified version published online March 2022).
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n.1948
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