Examples of Common Binary Relations
- order relations, including strict orders:
- greater than
- greater than or equal to
- less than
- less than or equal to
- divides (evenly)
- is a subset of
- equivalence relations:
- equality
- is parallel to (for affine spaces)
- is in bijection with
- isomorphy
- dependency relation, a finite, symmetric, reflexive relation.
- independency relation, a symmetric, irreflexive relation which is the complement of some dependency relation.
-
Binary relations by property reflexive symmetric transitive symbol example directed graph → undirected graph No Yes tournament No No pecking order dependency Yes Yes weak order Yes ≤ preorder Yes Yes ≤ preference partial order Yes No Yes ≤ subset partial equivalence Yes Yes equivalence relation Yes Yes Yes ∼, ≅, ≈, ≡ equality strict partial order No No Yes < proper subset
Read more about this topic: Binary Relation
Famous quotes containing the words examples of, examples, common and/or relations:
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)
“But genius is religious. It is a larger imbibing of the common heart.”
—Ralph Waldo Emerson (1803–1882)
“The land is the appointed remedy for whatever is false and fantastic in our culture. The continent we inhabit is to be physic and food for our mind, as well as our body. The land, with its tranquilizing, sanative influences, is to repair the errors of a scholastic and traditional education, and bring us to just relations with men and things.”
—Ralph Waldo Emerson (1803–1882)