单词 | number theory |
释义 | number theoryn. 1. A doctrine or theory concerned with the cosmic significance of numbers and proportions, esp. that derived from the ancient Pythagorean school. historical. ΘΚΠ the mind > mental capacity > philosophy > mathematical philosophy > [noun] > doctrines of number theory1899 mathematicism1917 proof theory1929 finitism1935 constructivism1959 1899 Philos. Rev. 8 656 The doctrine of opposites came first, the number-theory of the Pythagoreans of Aristotle is a later development. 1911 Amer. Math. Monthly 18 80 It [sc. the philosopher's game, ‘rithmomachia’] cannot be revived, since the interest in the number theory for which it stood has passed away. 1959 Stud. in Renaissance 6 56 It would be a mistake to press too far the application of Pythagorean number theory to poetry. 1994 MLN 109 180 Paul Oppenheimer speculates that the sonnet itself may be derived from Pythagorean–Platonic number theory. 2. Mathematics. The branch of mathematics dealing with the properties and relationships of numbers, esp. the positive integers. Cf. theory n. 1b. ΘΚΠ the world > relative properties > number > mathematics > [noun] > theories or branches of menadry1570 pure mathematics1605 mechanics1612 residuation1846 chaos theory1880 number theory1901 formalism1913 intuitionism1913 replacement theory1914 biomathematics1923 proof theory1929 finitism1935 mereology1938 combinatorics1941 cryptarithmetic1943 game theory1945 numerical analysis1946 queueing theory1951 constructivism1959 complexity1963 catastrophe theory1971 chaology1985 1811 P. Barlow (title) An elementary investigation of the theory of numbers.] 1901 Amer. Math. Monthly 8 28 This treatise [sc. Gauss's Disquisitiones Arithmeticæ], Legendre's Théorie des nombres and Derichlet's Vorlesunger über Zahlentheorie are the standards on the Number Theory. 1948 O. Ore Number Theory v. 76 The study of these laws in the distribution of the primes falls in the field of analytic number theory. 1994 Guardian 24 June ii. 1/1 Number Theory, on the face of it one of the most recondite and other-worldly provinces of mathematics. This entry has been updated (OED Third Edition, December 2003; most recently modified version published online March 2022). < n.1899 |
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