51³Ô¹Ï

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Taylor's series

noun

  1. maths 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. Under certain conditions, the series has the form f ( z ) = f ( a ) + [ f ′( a )( z – a )]/1! + [ f ″( a )( z – a )²]/2! + … See also Maclaurin's series
“Collins English Dictionary — Complete & Unabridged†2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012


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51³Ô¹Ï History and Origins

Origin of Taylor's series1

C18: named after Brook Taylor (1685–1731), English mathematician
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Example Sentences

Examples have not been reviewed.

Before his overnight stardom as Batman, West had made guest appearances on TV series such as “Cheyenne,†“Maverick†and “77 Sunset Strip†and had been a regular for a season on Robert Taylor’s series “The Detectives.â€

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This function is analytic in the domain, and the power series representing it is the Taylor’s series for the function.

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