| 释义 |
Maclaurin, n. Math.|məˈklɒrɪn|
[The name of Colin Maclaurin (1698–1746), Scottish mathematician.]
Maclaurin('s) series, a representation of a function f(x) as a Taylor series about the origin; Maclaurin's theorem, Taylor's theorem applied to a function at the origin.
1820G. Peacock Coll. Examples Differential & Integral Calculus i. 41 Examples given by our author of the application of Maclaurin's theorem to the developement of transcendental functions. 1902J. W. Mellor Higher Math. v. 227 The series on the right-hand side is known as Maclaurin's Series. 1934E. J. McShane tr. R. Courant Differential & Integral Calculus I. vi. 320 A special case of this [sc. Taylor's] theorem is often referred to..as Maclaurin's theorem. 1970Amer. Jrnl. Physics XXXVIII. 1293/1 A series in positive integral powers of t—namely, a Taylor (or Maclaurin) series. 1989Numerische Math. LV. 281 For the function arctan z, we give graphical contour maps of the number of significant digits in the approximations fn(z), gn(z) and pn(z), the nth partial sum of the Maclaurin series, for z in a key region of the complex plane. |