| 单词 | fermat's law |
| 释义 | > as lemmasFermat's law Used attributively or in the possessive to designate certain results and concepts introduced by Fermat, as Fermat's last theorem, a famous theorem that went unproved until 1994 (Fermat having claimed that he had a ‘truly wonderful proof’ without ever disclosing it), viz. that if n is an integer greater than 2, xn + yn = zn has no positive integral solutions; Fermat's law = Fermat's principle; Fermat('s) number, a number of the form 22n + 1, where n is a positive integer; Fermat's principle, the principle that the path taken by a ray of light between any two points is such that the integral along it of the refractive index of the medium has a stationary value; Fermat's theorem, (a) that if p is a prime number and a an integer not divisible by p, then ap−1 − 1 is divisible by p; (b) = Fermat's last theorem at main sense. ΘΚΠ the world > relative properties > number > mathematics > [noun] > mathematical enquiry > proposition > theorem > specific theorem > relating to prime numbers Fermat's theorem1811 Sylow's theorem1893 the world > relative properties > number > mathematics > [noun] > mathematical enquiry > proposition > theorem > specific theorem pons asinorum1718 Fermat's theorem1845 Bernoulli's theorem1865 Fermat's last theorem1865 Fourier's theorem1880 remainder theorem1886 Stokes' theorem1893 Jordan('s) (curve) theorem1900 Waring's theorem1920 Gödel's theorem1933 maximin1953 incompleteness theorem1955 Schwarz inequality1955 the world > relative properties > number > mathematical number or quantity > [noun] > particular qualities > prime > relating to Mersenne1892 Fermat('s) number1906 twin prime1930 pseudoprime1949 Skewes1949 1811 P. Barlow Elem. Invest. Theory of Numbers ii. 48 [This] leads us at once to the demonstration of one of Fermat's theorems, that he considered as one of his principal numerical propositions. 1839 London & Edinb. Philos. Mag. 14 48 Horner's extension of Fermat's theorem suggested this extension of Sir John Wilson's to me. 1845 London, Edinb. & Dublin Philos. Mag. 3rd. Ser. 27 286 (heading) Proof of Fermat's Undemonstrated Theorem, that xn + yn = zn is only possible in whole numbers when n = 1 or 2. 1865 W. T. Brande & G. W. Cox Dict. Sci., Lit. & Art (new ed.) I. 879/1 Another theorem, distinguished as Fermat's last Theorem, has obtained great celebrity on account of the numerous attempts that have been made to demonstrate it. 1884 A. Daniell Text-bk. Princ. Physics v. 125 Fermat's Law. 1888 Encycl. Brit. XXIV. 424/1 It follows that the course of a ray is that for which the time..is a minimum. This is Fermat's principle of least time. 1906 Bull. Amer. Math. Soc. 12 449 Fermat's numbers..are known to be prime for n = 0, 1, 2, 3, 4, and composite for n = 5, 6, 7, 9, 11, 12, 18, 23, 36, 38. 1948 O. Ore Number Theory viii. 204 This is the famous Fermat's theorem, sometimes called Fermat's last theorem, on which the most prominent mathematicians have tried their skill ever since its announcement three hundred years ago. 1959 M. Born & E. Wolf Princ. Optics 737 The laws of geometrical optics may be derived from Fermat's principle. 1966 C. S. Ogilvy & J. T. Anderson Excursions Number Theory iii. 36 The higher Fermat numbers have been the subject of prolonged study. < as lemmas |
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