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单词 leibniz theorem
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Leibniz 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.
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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).
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