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. |