This study aims to utilize an architecture of these networks together with the Taylor polynomials, to achieve the approximate solution of second kind linear Volterra integral equations system.
Finally, the result sheds light on how large the variance of each physical variable should be compared with each other to achieve the approximate maximum entropy prior.
Excess spoil means spoil material disposed of in a location other than the mined-out area; provided that spoil material used to achieve the approximate original contour or to blend the mined-out area with the surrounding terrain in accordance with §§ 816.102(d) and 817.102(d) of this chapter in non-steep slope areas shall not be considered excess spoil.
By solving the SFVE format on Microsoft Surface Book PC, we achieved the approximate solutions of u, p, (sigma_{11}), (sigma _{12}), (sigma_{21}), and (sigma_{22}) at moment (t=10) and painted them in Charts (a)'s of Figures 2 to 7, respectively.
Then, looking back into Section 2.3 where the BAE condition, (Xi _{Q}(s)=0), ∀s, was obtained, we are naturally led to consider the following optimization problem to design an auxiliary system achieving the approximate BAE: begin{aligned} min bigglVert frac{Xi _{Q}(s)}{Xi _{f}(s)}biggrVert, end{aligned} (31) where (Vert bullet Vert ) denotes a valid norm of a complex function.
The randomization was stratified by district to achieve the same approximate number of clusters within each of the 4 study arms within each of the 2 districts.
To achieve above, the approximate framework 2 shown in Fig. 12 (b) is considered, but different from that we set S π,t and S λ,t as (text {MMSE}_{text {ap}}^{Y}mathbf {I}_{K}) and (text {MMSE}_{text {ext}}^{Y}mathbf {I}_{K}).
Droplets achieve the equilibrium state in an approximate dimensionless time equal to 0.5, that corresponds to times lower than 1 s.
Thereby a quantitative utilisation of the most expensive component [13C]-glucose is achieved, while the approximate amount of the [15N]-ammonium chloride to be incorporated is calculated from the scheduled biomass.
Let denote the result achieved by the approximate solution, while and denote the corresponding results of the optimal solutions for the integer and continuous knapsack problems, respectively.
In addition, a robust compensator is proposed to confront the minimum approximated errors and achieve the robustness.
