| 单词 | pell's equation |
| 释义 | > as lemmasPell's equation In full Pell equation, Pell's equation. A Diophantine equation of the form y2 − ax2 = 1, where x and y are integer variables, and a is an integer constant. ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > equation equation1570 cardanic equation1684 binomial equation1814 simultaneous equation1816 characteristic equation1828 characteristic equation1841 characteristic equation1849 intrinsic equation of a curve1849 complete primitive1859 primitive1862 Poisson's equation1873 Jacobi equation1882 formulaic equation1884 adjoint1889 recursion formula1895 characteristic equation1899 characteristic equation1900 Pell equation1910 Lotka–Volterra equations1937 Langevin equation1943 1910 Encycl. Brit. I. 617/2 Although Pell had nothing to do with the solution, posterity has termed the equation Pell's Equation. 1938 National Math. Mag. 12 177 One of his well known papers was on the solution of the Pell equation by means of circular functions. 1966 C. S. Ogilvy & J. T. Anderson Excursions 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. 1974 Sci. Amer. July 116/3 Whenever the coefficient is not a square the Pell has an infinity of solutions. 1996 J. H. Conway & R. K. Guy Bk. Numbers vii. 204 An equation of the shape x2 − dy2 = 1 is called a Pell equation and can always be solved by a formula of this kind. < as lemmas |
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