英语词汇“Taylor's series”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

Taylor's series

noun Mathematics

An infinite sum giving the value of a function f(z) in the neighbourhood of a point a in terms of the derivatives of the function evaluated at a.This work was highly praised by Lagrange, who gave a similar theory enriched by the Lagrange Remainder for the Taylor series....

The same principle could be applied to a polynomial of any degree or to a Taylor series of an analytic function.
One feature was his refutation in 1822 by counterexamples of Lagrange's belief that a function can always be expanded in a Taylor series.

Origin

Early 19th century: named after Brook Taylor (1685–1731), English mathematician.

单词	Taylor's series
释义	Taylor's series noun Mathematics An infinite sum giving the value of a function f(z) in the neighbourhood of a point a in terms of the derivatives of the function evaluated at a.This work was highly praised by Lagrange, who gave a similar theory enriched by the Lagrange Remainder for the Taylor series.... The same principle could be applied to a polynomial of any degree or to a Taylor series of an analytic function. One feature was his refutation in 1822 by counterexamples of Lagrange's belief that a function can always be expanded in a Taylor series. Origin Early 19th century: named after Brook Taylor (1685–1731), English mathematician.
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