Sentence examples for a singular region from inspiring English sources

The existence of a singular region as well as the nature of the state feedback law (static or dynamic) is completely characterized in terms of the system dynamics.

The existence of a singular region as well as the nature of the feedback law (static or dynamic) are completely characterized in terms of the Lie bracket structure of the system dynamics.

Cluster f (Figure 1f) involves a singular region consisting of a posterior part of BA 7. Cluster g (Figure 1g) involves a singular region covering a medial part of the medial frontal gyrus (BA 9) and an anterior part of the cingulate gyrus (BA 32).

In the FFEM, the large number of unknown variables in the singular region around a notch tip is reduced to a small set of generalised co-ordinates by performing a fractal transformation using global interpolation functions.

Based on this theory, we obtain the key result of this study – a methodology for designing robust weight functionals which ensures grid resolution in the singular region, as well as control of the maximal grid spacing in the outer region.

Optimal state feedback laws for the singular region of operation are derived for the first time.

The TSIFs, temperatures, displacements and stresses at the singular region are obtained simultaneously without any post-processing.

The use of exact analytical solutions of the displacement field around a notch tip as the global interpolation functions reduces the computational cost significantly and neither post-processing technique to extract SIFs nor special singular elements to model the singular region are required.

By performing a transformation from the large amount of finite element unknowns to a small set of coefficients of the symplectic expansion, the stress intensity factors, the displacements and stresses in the singular region are obtained simultaneously without any post-processing.

In both cases, the singular region has zero volume.

The singular region can thus be thought of as having infinite density.