An autonomous robot must be able to sense its environment and react appropriately in a variable environment. The University of Cincinnati Robot team is actively involved in building a small, unmanned, autonomously guided vehicle for the International Ground Robotics Contest organized by Association for Unmanned Vehicle Systems International (AUVSI) each year. The unmanned vehicle is supposed to...

Self-avoiding walks (SAWs) were introduced in chemistry to model the reallife behavior of chain-like entities such as solvents and polymers, whose physical volume prohibits multiple occupation of the same spatial point. In mathematics, a SAW lives in the n-dimensional lattice Zn which consists of the points in Rn whose components are integers. In this paper, SAWs are a metaphor for walks across...

Abstract In this work, the Mellin transform method was used to obtain solutions for the stress field components in two dimensional (2D) elasticity problems in terms of plane polar coordinates. the Mellin transformation was applied to the biharmonic stress compatibility equation expressed in terms of the Airy stress potential function, and the boundary value problem transformed to an algebraic  ...

In this paper, we study and describe the universal Poisson deformation space of hypertoric varieties concretely. first application, show that affine as conical symplectic are classified by associated regular matroids (this is a partial generalization result Arbo Proudfoot). As corollary, obtain criterion when two quiver whose dimension vector have all coordinates equal to one isomorphic each ot...

The dynamics of complex systems with many degrees of freedom can be analyzed by projecting it onto one or few coordinates (collective variables). The dynamics is often described then as diffusion on a free energy landscape associated with the coordinates. Fep1d is a script for the analysis of such one-dimensional coordinates. The script allows one to construct conventional and cut-based free en...

To enhance the optimization ability of quantumbehaved particle swarm optimization algorithm, some improvement measures are proposed. First, we propose a encoding approach based on qubits described on Bloch sphere. This approach makes each particle contain three groups of Bloch coordinates of qubits, and all three groups of coordinates are regarded as approximate solutions describing optimizatio...

Abstract We provide an updated study of some electronic properties graphene nanoscrolls, exploiting a related curved space Dirac equation for the charge carriers. To this end, we consider explicit parametrization in cylindrical coordinates, together with analytical solutions pseudoparticle modes living on two–dimensional background. These results are then used to obtain compact expression sampl...

Generalizations of barycentric coordinates in two and higher dimensions have been shown to have a number of applications in recent years, including finite element analysis, the definition of Spatches (n-sided generalizations of Bézier surfaces), free-form deformations, mesh parametrization, and interpolation. In this paper we present a new form of d dimensional generalized barycentric coordinat...

Another application of sorting for parallel computation is load–balancing. For instance, consider a collection of particles distributed in arbitrary ways in a three–dimensional space. With the work per particle approximately the same, one approach would be to simply divide the particles evenly among the processing nodes. Though this approach yields load–balance, it may result in excessive commu...