Definition of ordered pair in English:

ordered pair


  • 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.’
    • ‘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.’
    • ‘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.’
    • ‘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.’
    • ‘In addition to his work on geometry, Bolyai developed a rigorous geometric concept of complex numbers as ordered pairs of real numbers.’