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A pair of elements a, b having the property that (a, b) = (u, v) if and only if a = u, b = v.
‘In 1814 Argand had represented the complex numbers as points on the plane, that is as ordered pairs of real numbers.’
‘His work in set theory considered a function as a set of ordered pairs and this made the function notion as proposed by Frege, Charles Peirce and Schröder redundant.’
‘On 4 November 1833 Hamilton read a paper to the Royal Irish Academy expressing complex numbers as algebraic couples, or ordered pairs of real numbers.’
‘The first number in the ordered pairs for each outcome is the payoff to the row player, the second number the payoff to the column player.’
‘In addition to his work on geometry, Bolyai developed a rigorous geometric concept of complex numbers as ordered pairs of real numbers.’