Taylorn.

Brit.

/ˈteɪlə/, U.S.

/ˈteɪlər/

Origin: From a proper name. Etymon: proper name Taylor.

Etymology: In sense 1 < the name of Brook Taylor (1685–1731), English mathematician, who published the theorem that was later named after him in his Methodus Incrementorum Directa et Inversa (1715). In sense 2 < the name of Frederick Winslow Taylor (1856–1915), U.S. engineer, who developed a system of scientific management. Compare Taylorism n. 2. In sense 3 < the name of Joseph Taylor (fl. 19th cent.), English wine merchant, who entered into a partnership with John Alexander Fladgate and Morgan Yeatman in 1838.

1. Mathematics. Taylor('s) series, an infinite series of the form f(a) + hf′(a) + h²f″(a)/2! + … + hⁿ⁻¹f⁽ⁿ⁻¹⁾(a)/(n − 1)! + …, 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).

ΘΚΠ

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

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > series > infinite

secundan1685

infinite series1706

Taylor('s) series1816

Maclaurin's series1881

power series1884

Fibonacci('s) series1891

Laurent's expansion1893

Fibonacci('s) numbers1914

majorant1925

tetrahedral numbers1939

Fibonacci('s) sequence1964

binomial series1966

1816 tr. S. F. Lacroix Elem. Treat. Differential & Integral Calculus 22 This formula is called Taylor's Theorem, from the English geometer by whom it was discovered.

1842 Penny 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.

1842 Penny Cycl. XXIV. 126/2 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.

1908 G. H. Hardy Course Pure Math. vii. 255 This expansion of f(a + h) is known as Taylor's series.

1908 G. H. Hardy Course Pure Math. vii. 287 (heading) Proof of Taylor's theorem by integration of parts.

1968 C. G. Kuper Introd. Theory Superconductivity ii. 24 Near the transition temperature, g may be expanded in a Taylor series: g = g₀ + αζ + ½βζ² + …

1972 A. 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.

1972 M. Kline Math. Thought xx. 442 Taylor's theorem for a = 0 is now called Maclaurin's theorem.

1979 E. S. Page & L. B. 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 attributively to designate the system of scientific management and work efficiency that he expounded.

ΘΚΠ

society > occupation and work > business affairs > management methods or systems > [adjective] > other methods or systems

functional1903

functionalized1908

Taylor1911

incentive1943

Taylorized1957

managerialist1965

divisionalized1976

kanban system1977

Taylorizing1979

JIT1984

just-in-time1984

1911 Assoc. Machinists Circular in C. B. Thompson Scientific Managem. (1914) 783 The latest danger..is the so-called Taylor system of shop management.

1926 P. Whiteman & M. M. 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 Scientific Management in American Industry (Taylor Soc.) i. 2 The body of interlocking procedures which resulted from these investigations came to be known as the ‘Taylor System’, and to the doctrine and principles later derived from them was given the name ‘Scientific Management’.

3. Port wine shipped by the firm of Taylor, Fladgate, and Yeatman.

ΘΚΠ

the world > food and drink > drink > intoxicating liquor > wine > fortified wine, Madeira wine, and sack > [noun] > port > types of port

white port1691

blackstrap1763

Roriz1817

ruby port1817

tawny port1847

log-juice1854

Cockburn1859

black stripe1862

ruby1924

tawny1929

Taylor1940

1940 M. Healy Stay me with Flagons 212 We had some Taylor of the same year, and the connoisseurs usually accorded it a higher place.

1952 H. 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.

This entry has not yet been fully updated (first published 1986; most recently modified version published online March 2022).

单词	taylor
释义	Taylorn. Brit. /ˈteɪlə/, U.S. /ˈteɪlər/ Origin: From a proper name. Etymon: proper name Taylor. Etymology: In sense 1 < the name of Brook Taylor (1685–1731), English mathematician, who published the theorem that was later named after him in his Methodus Incrementorum Directa et Inversa (1715). In sense 2 < the name of Frederick Winslow Taylor (1856–1915), U.S. engineer, who developed a system of scientific management. Compare Taylorism n. 2. In sense 3 < the name of Joseph Taylor (fl. 19th cent.), English wine merchant, who entered into a partnership with John Alexander Fladgate and Morgan Yeatman in 1838. 1. Mathematics. Taylor('s) series, an infinite series of the form f(a) + hf′(a) + h²f″(a)/2! + … + hⁿ⁻¹f⁽ⁿ⁻¹⁾(a)/(n − 1)! + …, 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). ΘΚΠ 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 the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > series > infinite secundan1685 infinite series1706 Taylor('s) series1816 Maclaurin's series1881 power series1884 Fibonacci('s) series1891 Laurent's expansion1893 Fibonacci('s) numbers1914 majorant1925 tetrahedral numbers1939 Fibonacci('s) sequence1964 binomial series1966 1816 tr. S. F. Lacroix Elem. Treat. Differential & Integral Calculus 22 This formula is called Taylor's Theorem, from the English geometer by whom it was discovered. 1842 Penny 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. 1842 Penny Cycl. XXIV. 126/2 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. 1908 G. H. Hardy Course Pure Math. vii. 255 This expansion of f(a + h) is known as Taylor's series. 1908 G. H. Hardy Course Pure Math. vii. 287 (heading) Proof of Taylor's theorem by integration of parts. 1968 C. G. Kuper Introd. Theory Superconductivity ii. 24 Near the transition temperature, g may be expanded in a Taylor series: g = g₀ + αζ + ½βζ² + … 1972 A. 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. 1972 M. Kline Math. Thought xx. 442 Taylor's theorem for a = 0 is now called Maclaurin's theorem. 1979 E. S. Page & L. B. 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 attributively to designate the system of scientific management and work efficiency that he expounded. ΘΚΠ society > occupation and work > business affairs > management methods or systems > [adjective] > other methods or systems functional1903 functionalized1908 Taylor1911 incentive1943 Taylorized1957 managerialist1965 divisionalized1976 kanban system1977 Taylorizing1979 JIT1984 just-in-time1984 1911 Assoc. Machinists Circular in C. B. Thompson Scientific Managem. (1914) 783 The latest danger..is the so-called Taylor system of shop management. 1926 P. Whiteman & M. M. 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 Scientific Management in American Industry (Taylor Soc.) i. 2 The body of interlocking procedures which resulted from these investigations came to be known as the ‘Taylor System’, and to the doctrine and principles later derived from them was given the name ‘Scientific Management’. 3. Port wine shipped by the firm of Taylor, Fladgate, and Yeatman. ΘΚΠ the world > food and drink > drink > intoxicating liquor > wine > fortified wine, Madeira wine, and sack > [noun] > port > types of port white port1691 blackstrap1763 Roriz1817 ruby port1817 tawny port1847 log-juice1854 Cockburn1859 black stripe1862 ruby1924 tawny1929 Taylor1940 1940 M. Healy Stay me with Flagons 212 We had some Taylor of the same year, and the connoisseurs usually accorded it a higher place. 1952 H. 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. This entry has not yet been fully updated (first published 1986; most recently modified version published online March 2022). < n.1816
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