<P> For example, the symmetric difference of (7, 8, 9, 10) and (9, 10, 11, 12) is the set (7, 8, 11, 12). The power set of any set becomes a Boolean ring with symmetric difference as the addition of the ring (with the empty set as neutral element) and intersection as the multiplication of the ring . </P> <P> A new set can be constructed by associating every element of one set with every element of another set . The Cartesian product of two sets A and B, denoted by A × B is the set of all ordered pairs (a, b) such that a is a member of A and b is a member of B . </P> <Ul> <Li> (1, 2) × (red, white, green) = ((1, red), (1, white), (1, green), (2, red), (2, white), (2, green)). </Li> <Li> (1, 2) × (1, 2) = ((1, 1), (1, 2), (2, 1), (2, 2)). </Li> <Li> (a, b, c) × (d, e, f) = ((a, d), (a, e), (a, f), (b, d), (b, e), (b, f), (c, d), (c, e), (c, f)). </Li> </Ul> <Li> (1, 2) × (red, white, green) = ((1, red), (1, white), (1, green), (2, red), (2, white), (2, green)). </Li>

What are the ways to describe a set