ordered pair

An ordered pair is a pair of mathematical objects for which the order of those objects is significant.

For objects a and b, the ordered pair with a as the first element and b as the second is denoted: (a,b).

Since the order is important, (a, b) = (c, d) if and only if a = c and b = d. This also means that the ordered pair (a, b) is only equal to its reverse, (b, a), when a = b.

This enforced order is one way in which ordered pairs are different from sets, whose order does not matter. ie., \{a, b\} = \{b, a\}.

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