Endorelation/Examples
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Examples of Endorelation
Arbitrary Relation
Let $V_0 = \set {a, b, c}$.
A possible endorelation on $V_0$ is:
- $R = \set {\tuple {a, a}, \tuple {b, b}, \tuple {b, c}, \tuple {c, b} }$
Properties of Arbitrary Relation: 1
Let $V = \set {u, v, w, x}$.
Let $E$ be the relation on $V$ defined as:
- $E = \set {\tuple {u, v}, \tuple {v, u}, \tuple {v, w}, \tuple {w, v} }$
Then $E$ is:
Properties of Arbitrary Relation: 2
Let $V = \set {a, b, c, d}$.
Let $R$ be the relation on $V$ defined as:
- $E = \set {\tuple {a, a}, \tuple {a, b}, \tuple {a, c}, \tuple {a, d}, \tuple {b, b}, \tuple {b, c}, \tuple {b, d}, \tuple {c, c}, \tuple {c, d}, \tuple {d, d} }$
Then $E$ is:
Properties of Arbitrary Relation: 3
Let $V = \set {a, b, c, d}$.
Let $R$ be the relation on $V$ defined as:
- $r = \set {\tuple {a, a}, \tuple {a, b}, \tuple {b, b}, \tuple {b, c}, \tuple {c, b}, \tuple {c, c} }$
Then $E$ is: