# Taylor series

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Related to Taylor series: power series, Maclaurin series, Taylor polynomial

## Taylor series

[′tā·lər ‚sir·ēz]
(mathematics)
The Taylor series corresponding to a function ƒ(x) at a point x0 is the infinite series whose n th term is (1/ n !)·ƒ(n)(x0)(x-x0) n , where ƒ(n)(x) denotes the n th derivative of ƒ(x).
(naval architecture)
Resistance charts based upon model tests of a series of ships derived by altering the proportions of a single parent form; used to study the effects of these alterations on resistance to the ship's motion, and to predict the powering requirements for new ships.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
After that, the constraint Eqs: (30)-(36) and the second equation in (51) should be linearized to the 1st-order Taylor series at [e.sub.D]=[e.sub.Dr], [lambda]=0, and combined with Equation (57), [e.sub.R], [e.sub.D] and [lambda] can be solved quickly.
"At its inception, I wanted to make personal work representing feminist identity that would be accessible to a broad audience," Burkhart said of the "Liz Taylor Series," which currently numbers around two hundred works.
This can be shown easily with the Taylor series expansion of the function [mathematical expression not reproducible] which formally implies that
Let f(z) e [Q.sub.[alpha]][A, B] and an be the nth coefficient of Taylor series of f(z).
Using Taylor series, our FFHE can homomorphically evaluate analytic functions f(%) taking floating-point numbers as input.
The function f(x) is expanded in a Taylor series, [T.sup.0](x), around x = 0.
Using the second-order Taylor series leads to the need for solving the conditional problem of a quadratic functional minimization.
Using the Taylor series method in [z.sub.3] variable about [e.sub.[delta]], we see that
Section 3 presents a normal approximation to the posterior distribution obtained via a Taylor series expansion.
Using a finite number of terms of the Taylor series of this function, we can explain different effects.
(90) Actually, differential operator models in the original particle method are not consistent with first-order Taylor series. The Taylor-series consistent pressure gradient model with Gradient Correction (GC) (88) plays a significant role in controlling tensile instability.

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