Sentence examples for various singularities from inspiring English sources

It is to be noted that the robotic fish model is actuated by rotational joints with 1 DOF which can lead to various singularities in response to the mathematical solutions generated by the NURB trajectory.

The method is applicable to problems of diffusion-reaction, convection-reaction and diffusion-convection-reaction, dependent on one spatial coordinate and involves the numerical computation of various singularities (hysteresis, isola, double zero and double or degenerate Hopf loci).

As a consequence of its high sensitivity to various optical singularities, investigation of the sample's interface quality is possible in the case of undesirable localized states present near or at the particular surfaces.

(L^p({{mathbb R}^{N}})) provides the analytical advantage that various types of singularities in spatial densities are covered.

There have been many kinds of extensions of Fujita's results since then, such as different types of parabolic equations and systems with or without degeneracies or singularities, various geometries of domains, different nonlinear reactions or nonhomogeneous boundary sources, etc.

Green's function of the infinite domain is determined for all types of nondegenerate and degenerate anisotropic plates with bending extension coupling, and for various kinds of singularities including (i) concentrated forces and moments in both in-plane and normal directions and (ii) dislocations of the tangential and normal displacements and of the midplane slopes.

Numerical results pertaining to the variation of the lowest eigenvalues (or stress singularities) for various wedge aperture angles of the material 1, subjected to the afore-mentioned wedge-side boundary condition, are also presented.

Numerical results pertaining to the variation of the mode III eigenvalues (or stress singularities) with various wedge aperture angles of the material 1 (reaction product/scatterer), are also presented.

Numerical results pertaining to the variation of the mode I, II, III eigenvalues (or stress singularities) with various moduli ratios as well as the wedge aperture angle of the material 1 (reaction product/contaminant), are also presented.

In many engineering problems, boundaries with sharp corners or abrupt changes in the boundary conditions and/or the material properties give rise to singularities of various types which tend to slow down the rate of convergence with respect to decreasing the mesh size of any standard numerical method used for obtaining the solution.

Currently, no animal model exists that faithfully recapitulates the various phenotypic and epigenetic singularities of BWS.