5.3.  Exercises

1.

P = { (1,hp), (2,paul), (3,pope) }

Q = { (hp, os), (paul, oswego), (bill, wh), (pope, rome) }

Find dom(P), ran(P), dom(Q), ran(Q), P O Q, dom(P O Q), and ran(P O Q)

Draw a graphically representation of the relations.

2.

What are the ranges of the relations

S = { (x, ) | x ∈ Nat } and
T = { (x, x * 2 ) | x ∈ Nat }

Draw a graphically representation of the relations.

3.

Let R = { (1,2), (1,3), (3,4) }

Find R O R and R O R O R

Draw a graphically representation of the relations.

Last modified 22/May/97