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

Word History and Origins

Origin of Taylor's series¹

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

Example Sentences

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.”

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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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