TAYLOR SERIES Definition & Meaning

Taylor series

noun

Mathematics.

an approximation of a given function f at a particular point x, in terms of values of the function and its derivatives at a neighboring point x 0 , by a power series in which the terms are given by f (n) ( x 0 ) ( ��−x 0 ) n/n !, where f (n) ( x 0 ) is the derivative of order n evaluated at point x 0 .

Discover More

51�Թ� History and Origins

Origin of Taylor series¹

1905–10; after Brook Taylor

Discover More

Compare Meanings

How does Taylor series compare to similar and commonly confused words? Explore the most common comparisons:

Maclaurin series vs. Taylor series

Discover More

Example Sentences

Examples have not been reviewed.

With the CA’s “retrieval process” under way, we glimpse one of the series’ international stars: Iain Glen, star of the Jack Taylor series, Downton Abbey and Game of Thrones.

From

Any finite number of initial terms of the Taylor series of a function is called a Taylor polynomial.

From

The Taylor series of a function is the limit of that function’s Taylor polynomials, provided that the limit exists.—,

From

"In fact he was partly responsible for its creation after telling Tim Taylor, series producer, that it would be possible to evaluate a site in only three days," a biography on the Time Team website says.

From

"In fact he was partly responsible for its creation after telling Tim Taylor, series producer, that it would be possible to evaluate a site in only three days," it says.

From

Taylorism Taylor's Gold

Browse