An ordered pair is a pair of mathematical objects for which the order of those objects is significant.
For objects and , the ordered pair with as the first element and as the second is denoted: .
Since the order is important, = if and only if and . This also means that the ordered pair is only equal to its reverse, , when .
This enforced order is one way in which ordered pairs are different from sets, whose order does not matter. ie., .« Back to Glossary Index