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单词 Total Order
释义

Total Order

A total order satisfies the conditions for a Partial Order plus the comparability condition. A Relation is a partial order on a Set if

1. Reflexivity: for all

2. Antisymmetry: and implies

3. Transitivity: and implies ,

and is a total order if, in addition,
4. Comparability: For any , either or .

See also Partial Order, Relation
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更新时间:2025/4/4 7:01:04