EXAMPLE 0.6 If A and B are as in Example 0.5, A × B × A = {(1, x, 1), (1, x, 2), (1, y, 1), (1, y, 2), (1, z, 1), (1, z, 2), (2, x, 1), (2, x, 2), (2, y, 1), (2, y, 2), (2, z, 1), (2, z, 2)}. If we have the Cartesian product of a set with itself, we use the shorthand k AxAxx A = Ak.

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