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单词 Taylor series
释义 Taylor series
The infinite power series of derivatives into which a function f(x) can be expanded, for a fixed value of the variable
x = a
:
f(x) = f(a) + f'(a)(x - a) + f"(a)(x - a)2/2! +…
When
a = 0
, the series formed is known as Maclaurin's series :
f(x) = f(0) + f'(0)x + f"(0)x2/2! + …
The series was discovered by Brook Taylor (1685–1731) and the special case was named after Colin Maclaurin (1698–1746)
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更新时间:2025/6/23 3:16:24