Sentence examples for matrix obeys the from inspiring English sources

It is also shown that the present transfer matrix obeys the necessary checks to categorize the physically symmetric multi-layer plate as dynamically symmetric.

It has been shown that a convex program (basis pursuit) can recover the original sparse signal, x, from a small set of measurements, y if the sensing matrix obeys the restricted isometry property (RIP) [56], defined as follows.

A measurement matrix obeying the restricted isometry property (RIP) in[6] can be used for CS-FAM (e.g., Gaussian random matrix or ±1 distribution matrix obeys the RIP with high probability).

Then, the matrix obeys the concentration inequality with the prescribed constant δ P Α θ l 2 2 − θ l 2 2 ≥ δ θ l 2 2 ≤ 2 e − M C δ (39).

As a consequence of the coupling between stresses and absorption capacity, the sorption isotherm of a composite is ruled by the (non-linear) Langmuir equation when the unreinforced matrix obeys the (linear) Henry's law.

Moreover, at all concentration of the small scatterers, the diagonal coefficients of the Mueller matrix obey the experimental criterion (Eq. (2)) (Rayleigh scattering regime).

The matrix obeys (B in SU 2)) only when (xi_{j,n} = kpi) for all j, n, with (k inmathbb{Z}).

In addition, W α is a unitary matrix and obeys the following rules begin{array}{*{20}l} &mathbf{W}_{-alpha} = mathbf{W}_{alpha}^{-1} = mathbf{W}_{alpha}^{H} end{array} (6a).

We can loosely say that when a matrix obeys RIP of order s, then all subsets of s columns are nearly orthogonal.

In this paper, a new analytic criterion for porous solids with matrix obeying Tresca yield criterion is derived.

Correlation of the fatigue crack growth rate with crack tip opening displacement (CTOD) revealed that both the composite and the matrix alloy obey the same fundamental relationship that the fatigue crack growth rate scales with the square of the CTOD.