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We find that all eigenvalues of the matrix (Dmathcal{M}+mathcal{M}^{T}D) in Example 1 are negative, which implies that the (Dmathcal{M}) is negative definite, hence our assumption in the convergence analysis is valid, and the numerical results are consistent with Theorem 2.

The analysis is valid for a non-ideal and non-dilute solution.

The analysis is valid for both locally-reacting and nonlocally-reacting impedances, as is demonstrated by analyzing a nonlocally reacting effective impedance representing the presence of a thin boundary layer over the surface.

The analysis is valid for the laminar flow regime and osmotic pressure controlled filtration.

The analysis is valid for the osmotic pressure controlled filtration.

The analysis is valid for any compressible hyperelastic material with axes of orthotropy aligned with the block's axes of symmetry in the reference (stress-free) configuration.

The finite-difference time-domain (FDTD) simulation results of the proposed wavelength-selective attenuator which is implemented in two-dimensional PCs (2D-PC), show that the analysis is valid.

Thus, the analysis is valid for the Rayleigh fading case.

Still, the analysis is valid only for the greedy state.

The methods come with specific conditions in which the analysis is valid.

The analysis is valid for a wide range of sampling designs used.