One of the mysteries of the English language finally explained.
A pair of elements a, b having the property that (a, b) = (u, v) if and only if a = u, b = v.
- ‘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.’
- ‘In addition to his work on geometry, Bolyai developed a rigorous geometric concept of complex numbers as ordered pairs of real numbers.’
- ‘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.’
- ‘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.’
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