In this paper we propose several techniques for tangential redistribution of points on evolving surfaces. This is an important issue in numerical approximation of any Lagrangian evolution model, since the quality of the mesh has a significant impact on the result of the computation. We explain the volume-oriented and length-oriented tangential redistribution methods in a general setting of an m...

We prove 13 necessary and sufficient conditions for a tangential quadrilateral to be a kite.

In strictly pseudoconvex domains with smooth boundary, we prove a commutator relationship between admissible integral operators, as introduced by Lieb and Range, and smooth vector fields which are tangential at boundary points. This makes it possible to gain estimates for admissible operators in function spaces which involve tangential derivatives. Examples are given under with circumstances th...

Tangential pressure (TP) , as defined in this study, is that pressure parallel to and located at the socket inner face. The talrgential pressure resultant (TP,) will possess a horizontal component (TP,) directed along an axis perpendicular to the main socket axis and a vertical component (TP,) directed along the main socket axis (see Fig. 1). The plane in which all tangential pressures exist is...

We establish optimal Lp bounds for the non-tangential maximal function of the gradient of the solution to a second-order elliptic operator in divergence form, possibly non-symmetric, with bounded measurable coefficients independent of the vertical variable, on the domain above a Lipschitz graph in the plane, in terms of the Lp-norm at the boundary of the tangential derivative of the Dirichlet d...

This article considers continuous trajectories of the vector fields induced by primaldual potential-reduction algorithms for solving linear programming problems. It is known that these trajectories converge to the analytic center of the primal-dual optimal face. We establish that this convergence may be tangential to the central path, tangential to the optimal face, or in between, depending on ...

This paper presents the operation of tangential dilation, which describes the touching of differentiable surfaces. It generalizes the classical dilation, but is invertible. It is shown that line segments are eigenfunctions of this dilation, and are parallel transported, and that curvature is additive. We then present the slope transform which provides tangential morphology with the analytical p...

According to geometric optics, light propagates in straight lines (in homogeneous media), reflects/refracts from surfaces according to Snell’s law: energy and tangential momentum are conserved. Thus, when reflecting from a hypersurface (which has codimension one) one gets the usual law of incident and reflected rays enclosing an equal angle to the normal to the surface. Indeed, conservation of ...

The evolution of globular clusters driven by two-body relaxation is investigated by means of numerical integration of the two-dimensional Fokker-Planck equation in energy–angular momentum space. The twodimensional Fokker-Planck equation allows the development of velocity anisotropy. We include a spectrum of stellar masses in this paper. The radial anisotropy develops, that is, the radial veloci...

In this study, a numerical model of the tangential tensioning stress distribution of a circular saw blade tensioned by multi-spot pressure was established using theoretical analysis, and the tangential tensioning stress distribution of the circular saw blade calculated by the model was shown to be true and reliable. The effect of yield strength of the circular saw blade on the distribution of t...