Finally, an optimization case of the practical system is studied.
Next, we add some random gain and phase errors to the 12-sensor array with k r=1.5 according to (10) with σ g =0.01 and σ φ =1°, and examine the eigenbeams and synthesized BPs of four cases (superdirectivity of the practical array with errors, superdirectivity of the ideal array without errors, CSB design with array errors, and LVF design with array errors).
The soil medium is considered to be unsaturated, which is the common case in most of the practical scenarios.
Although the worst case running time of the practical methods in (Bordewich et al., 2007; Wu, 2009; Wu and Wang, 2010) are exponential, these methods may work reasonably well in practice.
The results indicated that in most cases of practical interest the board delaminated between the outer plies of the board, although the interface strength was lower in the middle of the board.
Computations of airfoil wing and wing-body test cases show the practical usefulness of the embedded Cartesian grids with the small-perturbation boundary conditions approach.
In many cases of practical interest, the group delay time depends on the geometric length and the electron content of the ray path.
When certain level of shear is imposed at the interface as in most cases of practical significance, the Marangoni effect is suppressed slightly but progressively as the shear is increased gradually.
However, in many cases of practical interest, the thermal conductivity can be considered independent of the temperature for a considerable range of operating temperatures [3, 6, 11].
In fact it is found that, in all cases of practical interest, the region of sensitivity obtained with respect to any of the independent model input parameters is the same.
