| 单词 | leibniz theorem |
| 释义 | > as lemmasLeibniz theorem Leibniz theorem n. Mathematics the theorem that the nth derivative of a product of two functions may be expressed as a sum of products of the derivatives of the individual functions, the coefficients being the same as those occurring in the binomial theorem. ΘΚΠ the world > relative properties > number > mathematics > [noun] > mathematical enquiry > proposition > theorem > specific theorem > relating to functions Taylor's theorem1816 Maclaurin's theorem1820 Leibniz theorem1852 Green's theorem1857 Laurent's theorem1893 factor theorem1894 factor law1901 1852 B. Price Treat. Infinitesimal Calculus I. iii. 85 The following theorem, due to Leibnitz, and commonly called Leibnitz's Theorem, may be conveniently employed to find the general (the rth) derived-function of a product of two functions of x. 1965 Math. Gaz. 49 49 The derivation involved a generalized form of Leibniz's theorem. 1967 Math. Rev. 33 675/1 The Leibniz theorem referred to in the title is Wilson's theorem in the form (p − 2)! 1 (mod p). < as lemmas |
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