Consider a nearest neighbor random walk on the two-dimensional integer lattice, where each vertex is initially labeled either `H' or `V', uniformly and independently. At discrete time step, walker resamples label at its current location (changing to `V' with probability $q$). Then, it takes mean zero horizontal step if new `H', vertical `V'. This model randomized version of deterministic rotor ...

Liquid sloshing is a common phenomenon in the transporting of liquid tanks. Liquid waves lead to fluctuating forces on the tank wall. If these fluctuations are not predicted or controlled, they can lead to large forces and momentum. Baffles can control liquid sloshing fluctuations. One numerical method, widely used to model the liquid sloshing phenomena is Smoothed Particle Hydrodynamics (SPH)....

Most of the Earth's crust contains fluids, and fractures are common throughout the upper part. They exist at a wide range of scales from micro-fractures within grains to major faults and shear zones that traverse the crust. In this paper, the stress-dependent permeability in fractured rock masses have been investigated considering the effects of nonlinear normal deformation and shear dilation o...

Introdouction: The aim of this study was to determine the associations between commonly found pathologic conditions and angulation of the lower third molar teeth. Materials and methods: In this retrospective study, 370 panoramic radiographs consisting of 724 lower third molars were evaluated for any pathologies according to their angulation(mesioangular, distoangular, vertical, or horizontal...

Beam broadening effects on the Doppler radar spectrum induced by alongand cross-radar-beam winds are theoretically investigated in this article. Analytical expression of beam broadening spectrum for a vertical beam subject to a constant vertical wind in the absence of horizontal wind is derived first. We find that the resultant beam broadening spectral shape is in an exponential form, rather th...

Seawalls are built for Protecting of beaches against waves and preventing the progression of water to the beach. For a proper understanding about these constructions, a suiTable information about applied loads on these constructions should be existed. One of the important load that applied on these constructions is sea wave. Others loads are included: weight force of the walls, weight force of ...

At this blooming age of social media and mobile platform, mass consumers are migrating from horizontal video to vertical contents delivered on hand-held devices. Accordingly, revitalizing the exposure becomes vital urgent, which is hereby tackled by our automated horizontal-to-vertical (abbreviated as H2V) conversion framework. Essentially, {\it \textbf{H2V}} framework performs subject-preservi...