英语词汇“mathematical induction”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

mathematical induction n. logical induction as applied to mathematical proof; chiefly spec. with reference to the principle that if a proposition P(n) is true when n takes a particular value m, and if for all integer values of n greater than or equal to m, P(n) implies P(n + 1), then P(n) is true for all integers greater than or equal to m.

ΚΠ

1838 Penny Cycl. XII. 466/1 An instance of mathematical induction occurs in every equation of differences, in every recurring series, &c.

1900 Amer. Math. Monthly 7 35 Mathematical Induction..is a method of proof used where a primary operation and a secondary law have produced the same series of results to see if the supposed secondary law is valid.

1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) xvii. 355 In fact, mathematical induction, or reasoning by recurrence, sometimes is referred to as ‘Fermatian induction’, to distinguish it from scientific, or ‘Baconian,’ induction.

2015 W. Hodge Infl. of Augustus De Morgan 11 The editors of the Penny Cyclopedia..in 1838 invited two authors to write, one (De Morgan) about mathematical induction and one (Hamilton?) about logical induction.

单词	mathematical induction
释义	> as lemmas mathematical induction mathematical induction n. logical induction as applied to mathematical proof; chiefly spec. with reference to the principle that if a proposition P(n) is true when n takes a particular value m, and if for all integer values of n greater than or equal to m, P(n) implies P(n + 1), then P(n) is true for all integers greater than or equal to m. ΚΠ 1838 Penny Cycl. XII. 466/1 An instance of mathematical induction occurs in every equation of differences, in every recurring series, &c. 1900 Amer. Math. Monthly 7 35 Mathematical Induction..is a method of proof used where a primary operation and a secondary law have produced the same series of results to see if the supposed secondary law is valid. 1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) xvii. 355 In fact, mathematical induction, or reasoning by recurrence, sometimes is referred to as ‘Fermatian induction’, to distinguish it from scientific, or ‘Baconian,’ induction. 2015 W. Hodge Infl. of Augustus De Morgan 11 The editors of the Penny Cyclopedia..in 1838 invited two authors to write, one (De Morgan) about mathematical induction and one (Hamilton?) about logical induction. extracted from mathematicaladj.n. < as lemmas
随便看	θ230818 θ230819 θ23082 θ230820 θ230821 θ230822 θ230823 θ230824 θ230825 θ230826 θ230827 θ230828 θ230829 θ23083 θ230830 θ230831 θ230832 θ230833 θ230834 θ230835 θ230836 θ230837 θ230838 θ230839 θ23084

> as lemmas