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Product order

In mathematics, given partial orders ⪯ {\displaystyle \preceq } and ⊑ {\displaystyle \sqsubseteq } on sets A {\displaystyle A} and B {\displaystyle B} , respectively, the product order (also called the coordinatewise order or componentwise order) is a partial order ≤ {\displaystyle \leq } on the Cartesian product A × B . {\displaystyle A\times B.} Given…

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Product order

Nodes15
Edges14
Triples1
Avg. degree1.87
Density0.133333
Components1

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Product order

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Product order → subrelation of the lexicographic order.The Cartesian product with the product order is the categorical product in the category of partially ordered sets with monotone functions.…

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order displaystyle product cartesian leq orders given two left right total also partial sets ordered preceq sqsubseteq times pairs categorical

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SubjectPredicateObjectConfidenceSrc
Product orderis asubrelation of the lexicographic order.The Cartesian product with the product order is the categorical product in the category of partially ordered sets with monotone functions.…0.90text

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