Taylor series


Also found in: Dictionary, Wikipedia.
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.
References in periodicals archive ?
Taylor series consistency also plays a key role in computation of density in the vicinity of the interface of a multi-phase flow.
The formula (1) also gives an explicit formula for the Taylor series for the reciprocal gamma function:
In the present work, we propose a Taylor series based approach to overcome this deficiency and effectively capture the stress-strain curve obtained by using the RO curve ft.
This method becomes a numerical-analytic technique that formalizes the Taylor series in a totally different manner.
This is obtained by expanding each term of finite difference approximation into a Taylor series, excluding time derivative, time - space derivatives higher than first order.
DTM used Taylor series for the solution of differential equations in the form of polynomial.
Using complex sample data from the 2004 panel of the Survey of Income and Program Participation (SIPP) two models--one ordinary least squares (OLS) regression and one logistic regression--were estimated using three methods: SRS with and without population weights, Taylor series linearization, and Fay's Balanced Repeated Replication (BRR).
Treatment of several mathematical topics follows, including Taylor series, matrices, root-finding, numerical integration, ordinary differential equations, and curve fitting.
In this paper we compare and test the properties of a novel numerical scheme, the Modified Taylor Series (MTS) with four methods (Iterative Crank-Nicolson, 3'rd and 4'th order Runge-Kutta and Courant-Fredrichs-Levy Nonlinear) studied in a paper by Khoklov, Hansen, and Novikov.
Many of them use Taylor series development for the function y = y(x) around a point.