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单词 Pell
释义 Pell, n.2 Math.|pɛl|
[See Pellian a.]
Pell('s) equation: any Diophantine equation of the form ax2 - y2 = 1 (a, x, and y being integers). Also absol.
1910Encycl. Brit. I. 617/2 Although Pell had nothing to do with the solution, posterity has termed the equation Pell's Equation.1912E. E. Whitford (thesis title) The Pell equation.1966Ogilvy & Anderson Excursions in Number Theory x. 129 It turns out that the equation y2 - Nx2 = 1 known as Pell's equation, has solutions in integers whenever N is not a perfect square.1974Sci. Amer. July 116/3 Whenever the coefficient is not a square the Pell has an infinity of solutions.Ibid. 120/2 The general Pell equation, a key to so much of this kind of number analysis.
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