Taylor series

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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 ?
In synchronous rotating space coordinates, flux linkage are reconstructed through Fourier series expansion and bivariate polynomial.
We show that the sign of the coefficients in the power series expansion of the continued fraction of order sixteen is periodic with period 16.
Panasonic just released the ZK series expansion of hybrid capacitors line.
Later chapters deal with separation of variables, the series expansion method, conformal transformation, transform methods, and perturbation methods.
The orthogonal series expansion using a vector of random variables to represent the random field is widely exploited and applied in the stochastic structural systems [14-17].
The Kernel K(x,t) = (1 - x cos xt) is not a degenerated kernel, but a finite number of terms from its Maclaurin series expansion
For example, for N = 10, the series expansion for the expressions for B(x) and [b.
Let the function g(z) given by the series expansion (6) be in the function class
In this research, the behavior of a composite plate graded with carbon nanotube (FG CNTRC), whose surfaces were subjected to thermal and mechanical loads, was investigated based on 3-D theory of elasticity by using Fourier series expansion through state space method.
The solutions have been obtained using boundary and Fourier series expansion of continuity conditions between the different sub-domains.
In Section 3, applicability of the Taylor's series expansion approach in the analysis of the problem is presented.