in this century due to population growth, the use of river water has become more complicated. since most rivers pass across loose and erodible areas, they always act as the most important factor of transferring eroded materials from the solid crust of the earth.  vortex basins are among the solutions known for the high-speed separation of solids from liquids (filtration). one of the problems of...

There are a variety of stereoscopic after-effects in which exposure to a stimulus with a particular slant or curvature affects the perceived slant or curvature of a subsequently presented stimulus. These after-effects have been explained as a consequence of fatigue (a decrease in responsiveness) among neural mechanisms that are tuned to particular disparities or patterns of disparity. In fact, ...

The objective of this study is to explain mathematically the effect of curvature of horizontal balancing condylar path on that of tooth path. Conclusions from the calculation are; 1. Curvature of tooth path increases similar to that of horizontal balancing condylar path. 2. The relation of curvature between horizontal balancing condylar path and tooth path is hardly affected, even if the direct...

Syndapin 1 FBAR, a member of the Bin-amphiphysin-Rvs (BAR) domain protein family, is known to induce membrane curvature and is an essential component in biological processes like endocytosis and formation and growth of neurites. We quantify the curvature sensing of FBAR on reconstituted porcine brain lipid vesicles and show that it senses membrane curvature at low density whereas it induces and...

A framework for the assessment of nonlinearity in controlled processes is developed. Assuming that the process can be represented by a twice differentiable process map, the extent of nonlinearity is measured by evaluating the induced local curvature of the process response. The magnitude of this curvature is assessed with respect to an appropriately chosen scaling region. This approach provides...

In this paper we have studied a new Non-Commutative (NC) space with an operatorial form of noncommutativity. A point particle in this space feels the interaction of a magnetic field, that is singular at a specific position θ −1. Here θ is the NC parameter and plays the role of particle charge as well. The magnetic moment of the particle is computed and its dynamics is studied in detail, both fr...

The purpose of this paper is to study the curvature of equilateral random walks and polygons that are confined in a sphere. Curvature is one of several basic geometric properties that can be used to describe random walks and polygons. We show that confinement affects curvature quite strongly, and in the limit case where the confinement diameter equals the edge length the unconfined expected cur...

let (m,g ) be a compact immersed hypersurface of (rn+1,) , λ1 the first nonzeroeigenvalue, α the mean curvature, ρ the support function, a the shape operator, vol (m ) the volume of m,and s the scalar curvature of m. in this paper, we established some eigenvalue inequalities and proved theabove.1) 1 2 2 2 2m ma dv dvn∫ ρ ≥ ∫ α ρ ,2)( )2 2 1 2m 1 mdv s dvn nα ρ ≥ ρ∫ − ∫ ,3) if the scalar curvatu...