We developed third-order constructs by analyzing the second-order constructs to identify new, common themes that emerged from our inductive analysis to address the review objectives.
The importance of many-body non-central forces and anharmonic effects are further explored by analyzing the higher order elastic constants explicitly the third-order elastic constants.
Results indicate that high planar shear induces long-range uniform orientation ordering (liquid crystalline phase) of initially randomly orientated molecules of MCTLCP fluid confined in a nanochannel, which is confirmed by analyzing the orientation order parameter and the snapshots of MCTLCP liquid in a nanochannel under different shear rates.
By analyzing the dynamics under order-driven protocols we show that the behavioral and structural assumptions of the model are closely intertwined.
We should start by analyzing the text in order to see how it is constructed according to logical principles: what problem is being considered, what arguments are chosen and so on.
The DW-to-MI/SF boundary (filled circles) has been obtained by analyzing the density-wave order parameter, while the MI-SF boundary (filled squares) through the charge gap.
By analyzing the symbol of the second order system, we obtain necessary and sufficient conditions for stability in a discrete norm containing one-sided difference operators.
Additional periods of 8 h, 4.8 h, 3.43 h and 2.67 h are noticed by analyzing the modeling residuals of 4th order harmonics based function.
By analyzing the first- and second-order directional derivatives of the different edges, we propose a new structure tensor which is a desirable descriptor for analyzing not only strong edges, but also weak edges such as narrow peaks or ridge-like structures.
Then, we study the dynamics of the obtained reduced order system by analyzing the system's attractors for different values of the Reynolds number, Re.
