Sentence examples for singular regions from inspiring English sources
A property is presented and supported with a mathematical proof to verify that the singular regions are located at the end of this discontinuous line.
Apparently, increasing filet radius and decreasing the notch depth are the means commonly used to deal with stress concentrations in the singular regions.
The Jacobian matrices of a robot are commonly utilized in determining its dynamic behavior, workspace singular regions as well as manipulability and sensitivity analysis.
Two clusters, clusters f and g (Figure 1f and 1g), consist of singular regions, which suggest that these clusters show an isolated pattern of neuronal activity during rest.
However, estimates of population connectivity are often required outside these singular regions, for instance when it is necessary to determine whether there is limited dispersal between populations within areas delimited by ecological or biogeographic boundaries, a relatively common concern for conservation and stock management issues (Allendorf et al. 2010).
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 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.
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.
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.
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.
