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单词 partial order
释义

Definition of partial order in English:

partial order

(also partial ordering)
noun
Mathematics
  • A transitive antisymmetric relation among the elements of a set, which does not necessarily apply to each pair of elements.

    Example sentencesExamples
    • Viewed another way, what this says is that if we define a partial ordering on strings such that one string is greater than another if it contains the second as a substring, then there is no infinite antichain.
    • Shoham's theory is based on a partial order over models: S can then be characterized as the set of models in K that are minimal in K.
    • An attempt to articulate a range of scenarios in which partial ordering of secondary and tertiary structures mutually enhance a favorable folding pathway has been presented under the label of ‘nucleation-condensation’.
    • In fact, it can be shown that the possible ancestral combinations of adjacent copies are given by the maximal antichains of the partial order on the duplication events.
    • In terms of sets, a partial ordering can be obtained by using set inclusion, the relation ‘is a subset of,’ where subset also includes the meaning that a set is a subset of itself.
 
 

Definition of partial order in US English:

partial order

(also partial ordering)
noun
Mathematics
  • A transitive antisymmetric relation among the elements of a set, which does not necessarily apply to each pair of elements.

    Example sentencesExamples
    • In fact, it can be shown that the possible ancestral combinations of adjacent copies are given by the maximal antichains of the partial order on the duplication events.
    • Viewed another way, what this says is that if we define a partial ordering on strings such that one string is greater than another if it contains the second as a substring, then there is no infinite antichain.
    • An attempt to articulate a range of scenarios in which partial ordering of secondary and tertiary structures mutually enhance a favorable folding pathway has been presented under the label of ‘nucleation-condensation’.
    • In terms of sets, a partial ordering can be obtained by using set inclusion, the relation ‘is a subset of,’ where subset also includes the meaning that a set is a subset of itself.
    • Shoham's theory is based on a partial order over models: S can then be characterized as the set of models in K that are minimal in K.
 
 
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更新时间:2025/3/4 5:21:25