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 ?
Note, however, that even for moderate steady-state inflation, it takes a large coefficient on output to generate determinacy in a rule that includes the standard Taylor coefficient, [f.
i] + 1)-th Taylor coefficient [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Szekers, The Taylor coefficients of certain infinite products, Acta Sci.
m] are the Taylor coefficients of 1/p(z) in z = [[alpha].
Then, the Taylor coefficients of f(z) are given by the following finite sum
To calculate the coefficients of a Pade approximation, a straightforward method is to set up a set of linear equations involving the Taylor coefficients of p and q, and these equations have a Toeplitz structure analogous to that of [?
Following this procedure, which can be easily programmed using symbolic algebra [33], the Taylor coefficients up to a desired order n can be obtained.
i] for i = 1 to 3 are the first three Taylor coefficients of the conductances and capacitors of the diode, respectively.
1971, "Algorithm 413-ENTCAF and ENTCRE: Evaluation of normalized Taylor coefficients of an analytic function", Comm.
The leading Taylor coefficients of [phi]([tau],[xi]) and [DELTA]s([tau],[xi]) are
The following lemma enables us to compute explicit formulas for the variances of the random variables and to estimate the Taylor coefficients of the functions in question.
It might be tempting to obtain the Taylor coefficients by measuring the FET's I/V or Q/V characteristic and differentiating it numerically.