partially ordered set

短语

[计] 半序集, 偏序集合

词形变化

partially ordered sets 复数 partially ordered sets

释义与例句

n.
  1. 1.

    A set that has a given, elsewhere specified partial order.

    数学
  2. 2.

    The ordered pair comprising a set and its partial order.

    正式 数学

    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.