| 单词 |
Taylor |
| 释义 |
Taylor|ˈteɪlə(r)|
1. Math. [The name of Brook Taylor (1685–1731), English mathematician, who published the theorem in his Methodus Incrementorum Directa et Inversa (1715).] Taylor('s) series, an infinite series of the form f(a) + hf′(a) + h2f{pp}(a)/2! + {ddd} + hn-1f(n-1)(a)/(n - 1)! + {ddd}, where f(i)(a) is the value of the ith derivative of a function f(x) at x = a; an analogous series for a function of more than one variable; Taylor's theorem, the theorem that a function f(x) can be approximated over any interval throughout which its first n derivatives exist by the first n terms of Taylor's series (with h = x - a) plus a remainder dependent on f(n)(a + θh) (0 ‹ θ < 1).
1816[see theorem n. a]. 1842Penny Cycl. XXIV. 126/2 Lagrange's paper in the Berlin Memoirs for 1772, in which he proposed to make Taylor's theorem the foundation of the Differential Calculus. Ibid., D'Alembert..gave for the first time..a method of finding the remnant of Taylor's series after a certain number of terms have been taken. 1908G. H. Hardy Pure Math. vii. 255 This expansion of f(a + h) is known as Taylor's series. Ibid. 287 (heading) Proof of Taylor's theorem by integration of parts. 1968C. G. Kuper Introd. Theory Superconductivity ii. 24 Near the transition temperature, g may be expanded in a Taylor series: g = g0 + αζ + ½βζ2 + {ddd} 1972A. W. F. Edwards Likelihood v. 72 An alternative method, which readily generalizes to the case of many parameters, is to obtain the Taylor's series approximation to the support curve in the region of the maximum. 1972M. Kline Math. Thought xx. 442 Taylor's theorem for a = 0 is now called Maclaurin's theorem. 1979Page & Wilson Introd. Computational Combinatorics ii. 10 We write E = 1 + △ and expand the polynomial f by Taylor's theorem.
2. The name of F. W. Taylor (1856–1915), U.S. engineer, used attrib. to designate the system of scientific management and work efficiency that he expounded.
1911Assoc. Machinists Circular in C. B. Thompson Scientific Managem. (1914) 783 The latest danger..is the so-called Taylor system of shop management. 1926Whiteman & McBride Jazz vii. 154 At their work, men and women are the victims of efficiency, the Taylor system, so that humanity itself is being made into machines. 1972[see scientific management s.v. scientific a. 6].
3. Port wine shipped by the firm of Taylor, Fladgate, and Yeatman.
1940M. Healy Stay me with Flagons 212 We had some Taylor of the same year, and the connoisseurs usually accorded it a higher place. 1952H. W. Allen Sherry & Port ii. i. 126, I tasted some of these wines in the Oporto Lodges, notably Sandeman 1942 and 1945 and Taylor of the same years. 1968‘J. Welcome’ Hell is where you find It x. 137 Benson brought in the decanter and put it beside me. ‘It's the Taylor 47, sir,’ he said. |
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