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partial order
noun
A relation that is reflexive, antisymmetric, and transitive.
synonyms
Exact(60)
Let be a partial order relation on.
The partial order ⪯ is a superfluous hypothesis.
Note that ⪯ is a partial order.
Define the partial order as follows: (3.49).
Clearly, (prec ) is a strict partial order.
Let ⪯ be a partial order on X.
Then " " is a (partial) order on.
Clearly, ≤ is a partial order on X.
Then is a (partial) order on named the partial order induced by.
Let (ll ) be a partial order relation on (mathbb R ).
Then " " is a (partial) order on induced by.
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