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 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.
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