partially ordered set

名词 n.
中文释义

英文释义

名词 n.
  1. A set that has a given, elsewhere specified partial order. broadly
  2. The ordered pair comprising a set and its partial order. formal
    — 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 ordered set P. The ordered fields defined earlier are easily seen to be examples of partially ordered sets.

词形变化

partially ordered sets plural

词汇关系

近义词
ground set poset partially ordered set
上位词
category
下位词
lattice totally ordered set complete lattice distributive lattice Boolean lattice
相关词
complete partial order partial order
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