Sentence examples for decomposition described from inspiring English sources

Table 2 presents the results of the decomposition described by Eq. (5) in levels and percentages.

We present an efficient numerical framework for analyzing spinodal decomposition described by the Cahn Hilliard equation.

Notice that this definition is slightly different from the one used to build Fig. 8, which allowed us to perform the decomposition described by Eq. (16) (Fig. 11).

We present a numerical algorithm for simulating the spinodal decomposition described by the three dimensional Cahn Hilliard Cook (CHC) equation, which is a fourth-order stochastic partial differential equation with a noise term.

With the Cholesky decomposition described in (33), the feedback matrix B n can be calculated as (textbf {B}_{n} = textbf {U}_{xi }-textbf {I}_{N_{c}}phantom {dot {i}!}).

Based on the reflection dipole decomposition described by Chopra et al. (2006), Zhang et al. (2009, 2011) studied the basis pursuit inversion (BPI) of post and pre-stack seismic data, respectively, and got the sparse reflection coefficients and blocky layer elastic parameters, which is a high-resolution inversion method.

The correspondence between the spectrum of (U^{(1)}) and solar variation indicates that the rank-1 decomposition describes the large-scale ionospheric temporal variations, mainly caused by solar irradiation.

In the case (s=0), Struwe [56] gave a useful decomposition describing precisely this lack of compactness for minimzing sequences such as ((u_varepsilon )_varepsilon ), which was extended to this situation by Ghoussoub and Kang [25].

By the standard properties of semiorthogonal decompositions described in Sect.

Decomposition was described using a mono-component model with a time dependent relative decomposition rate.

Finally, no decomposition is obtained for the remaining 37 equations so that the decomposition procedures described in Sect. 2 are of no avail for their solution.