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The second step is to apply either the Mth order Euler sum acceleration or (2M + 1 -point Lagrangian interpolation to approximate the sum of the series on the irregular grid.
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In the limit the spike train approximates the sum of δ-functions given by Eq. (1).
The S-method produces a representation that is equal to or very close approximates the sum of the Wigner distributions calculated for each signal component separately.
Thus, we adopt another method of approximating the sum of log-normal RVs which gives a more accurate result at a cost of increased computational complexity.
In this article, we have approximated the sum of Nakagami-m processes ∑ l = 1 L ζ ́ l ( t ) by another Nakagami-m process S t) with parameters m S and Ω S, as suggested in [39].
In cells pretreated with CSPG, EGF induced further stimulation of STAT3 which approximated the sum of the individual stimulants alone.
Conditional logistic regression analysis revealed that TERT and JAK2 loci are independently predisposing to MPN, the total combined risk approximating the sum of the two genotypes (Fig. 1; Supporting Information Table 2).
In contrast to the results associated with wt Ras, the rate constant and the span of the GDP dissociation from C51S Ras by Cdc25 and O2– together approximated the sum of the individual rate constants and the spans of the GDP dissociation from C51S Ras by Cdc25 and by O2–.
For q = 1, for example, P ( n ) ∝ e μ n ( e μ n − 1 ) 2 which for small values of μ is well approximated by 1 μ 2 1 n 2. These results only hold for integer values of q so an alternative approach is to approximate the sum for P ( n ) in terms of an integral.
The heat generated in an operating battery is generally approximated by the sum of the reversible and irreversible heat.
The climate controlling surface mass balance is prescribed by time series of air temperature and snowfall approximated by the sum of two sinusoidal cycles.
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