For other configurations like 0 3 and 1 3 connectivity with dielectric inclusions in a paraelectric matrix, the simulations predicted comparable tunability values as in single phase paraelectrics.
The first one was to adjust the traffic counts and the OD matrix in the simulation as compared with the existing situations, such that the simulated network within the complete simulation framework can be close to the real traffic conditions.
In the range of x = 1 16, the increment of x is 1; whereas, for x= 16 32(26), it is 2. We use a small initial matrix for the simulation of light scattering by particles with x ≤ 15, otherwise a large initial matrix is used.
In Equation 3, S = diag (a, b, c) is the shape matrix containing three radii of the ellipsoid, and A i is a 3 × 3 transformation matrix from the simulation box frame to the particle body frame.
The Taguchi method (4 factors and 3 factor value levels: L9 orthogonal array) was adopted to design matrix of the simulation runs and the analysis of variance was used to evaluate the contributions of each control factor.
Numerical investigations show that, more than 60% of computation time can be saved for the decomposition of the power spectral density matrix involved in the simulation of two hundred wind velocity processes and the entire simulation procedure is 3 times faster than the ordinary spectral representation method for the simulation of two hundred processes.
Employing brute force matrix diagonalization in the simulation of an EPR spectrum from a high spin Cr III) complex with the spin Hamiltonian parameters ge=2.00, D=0.10 cm−1, E/D=0.25, Ax=120.0, Ay=120.0, Az=240.0×10−4 cm−1 requires a SOPHE grid size of N=400 (to produce a good signal to noise ratio) and takes 229.47 s.
Open image in new window Fig. 11 Gas/oil relative permeability curves in the matrix used in the simulation Open image in new window Fig. 12 Gas/oil relative permeability curves in the fracture used in the simulation.
The R functions extrapolate distances from the branch lengths from the starting topology to compare to the distance matrix estimated by the simulation.
Removing all the reactions associated with unconditionally blocked metabolites can reduce the size of the stoichiometric matrix without affecting the simulation results.
