Taylor's series

British

noun

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

Etymology

Origin of Taylor's series

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

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

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.”

From Los Angeles Times

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

From Project Gutenberg

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023