Inspired by general relativity, we suggest an approach for long-range potential scattering. In scattering theory, there is a theory short-range scattering, but no This because the boundary conditions all potentials are same, different different. this paper, introducing tortoise coordinates, convert to allows us deal with as An explicit expression of wave function presented, in which represented...

I consider the appearance of shocks in hyperbolic formalisms of General Relativity. I study the particular case of the Bona-Massó formalism with zero shift vector and show how shocks associated with two families of characteristic fields can develop. These shocks do not represent discontinuities in the geometry of spacetime, but rather regions where the coordinate system becomes pathological. Fo...

Dynamic analysis of many mechanical systems is often involved with contacts among bodies. This paper presents an efficient and general-purpose contact search algorithm for multibody dynamics in the context of the compliance contact force model. While many conventional collision detection algorithms are based on the absolute coordinate system, this paper proposes to use the relative coordinate s...

We consider the use of Jacobian coordinates for Tate pairing over general characteristics. The idea of encapsulated double-andline computation and add-and-line computation has been introduced. We also describe the encapsulated version of iterated doubling. Detailed algorithms are presented in each case and memory requirement has been considered. The inherent parallelism in each of the algorithm...

This paper establishes a straightforward interconnection between the Kronecker canonical form and the special coordinate basis of linear systems. Such an interconnection enables the computation of the Kronecker canonical form, and as a by-product, the Smith form, of the system matrix of general multivariable time-invariant linear systems. The overall procedure involves the transformation of a g...

Article history: Received 30 July 2015 Received in revised form 11 December 2015 Accepted 11 April 2016 Available online 14 April 2016

geospatial information system (gis) has emerged as a very powerful tool for capturing, storing, analyzing, managing, and presenting data that is linked to location. the location information, which is usually obtained from existing maps or the global positioning systems (gps), refers to different coordinate and map projection systems. therefore, unification of the coordinate and mapping systems ...