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单词 partial ordering
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partial ordering
partial ordering n. Mathematics a transitive antisymmetrical relation among the elements of a set which does not necessarily apply to each pair of the elements.
ΘΚΠ
the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > elements in or parts of > relation between
well-ordering1914
symmetric difference1936
partial ordering1938
equivalence relation1940
symmetrical difference1978
1938 Ann. Math. 39 113 We are also able to introduce a partial ordering of the vertices of K, which corresponds to the inclusion relation in S.
1964 T. O. Moore Elem. Gen. Topol. vii. 126 Many writers require that a partial ordering be reflexive; some do not. We choose not to do so in this book.
2002 Bull. Symbolic Logic. 8 119 Shoham proposed that the notion of preferred models be defined by a partial ordering on the models of the underlying language.
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