Maclaurin series


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Maclaurin series

[mə′klȯr·ən ‚sir·ēz]
(mathematics)
The power series in the Maclaurin expansion.
References in periodicals archive ?
First, when [mu] is close to 0, we approximate the stationary probabilities by their Maclaurin series expansion in [mu] as investigated in [9].
While the terms in the Maclaurin series expansion can be calculated efficiently, the resulting expansion only converges to the exact solution in a neighbourhood of 0 as, in general, the region of convergence of the series expansion will be finite.
This recurrence relation gives the different coefficients of Maclaurin series for [eta] = 0 and for time T = 0.1.
By expanding conditional BER in a Maclaurin series in [[phi].sub.c] (2) and (3) become
Next, we expand [[[f.sub.i](v)].sup.1/2] in the Maclaurin series around v = 0 and retaining the first three terms, we obtain finally the expressions for [k.sub.1] and [k.sub.2] which can be written in the form