Duality (order theory)

（重定向自Order dual）

A bounded distributive lattice, and its dual

In the mathematical area of order theory, every partially ordered set P gives rise to a dual (or opposite) partially ordered set which is often denoted by P or P. This dual order P is defined to be the set with the inverse order, i.e. x ≤ y holds in P if and only if y ≤ x holds in P. It is easy to see that this construction, which can be depicted by flipping the Hasse diagram for P upside down, will indeed yield a partially ordered set. In a broader sense, two posets are also said to be duals if they are dually isomorphic, i.e. if one poset is order isomorphic to the dual of the other.

单词	Order dual
释义	Order dual 英语百科 Duality (order theory) （重定向自Order dual） In the mathematical area of order theory, every partially ordered set P gives rise to a dual (or opposite) partially ordered set which is often denoted by P or P. This dual order P is defined to be the set with the inverse order, i.e. x ≤ y holds in P if and only if y ≤ x holds in P. It is easy to see that this construction, which can be depicted by flipping the Hasse diagram for P upside down, will indeed yield a partially ordered set. In a broader sense, two posets are also said to be duals if they are dually isomorphic, i.e. if one poset is order isomorphic to the dual of the other.
随便看	Mock Turtle, the Mockumentaries mockumentary mockup mock ... up Mock up mock up copy mockup experiment mock up experiment mock up lattice mock up reactor mock ups mockup shop mockup test mock up test Mockus mock vermilion mock voile mock with mock worsted yarn mockworthy mocky mock yarn Moclips Moclobamide