"Complete scaling," which maps asymmetric fluid criticality onto the symmetric Ising model, is extended to spatially inhomogeneous fluids. This extension enables us to obtain a fluctuation-modified asymmetric interfacial density profile, which incorporates leading effects from the asymmetry of fluid phase coexistence and the asymmetry of the correlation length. The derived asymmetric interfacia...

The propagation characteristics of a scalar Gaussian beam in a homogeneous anisotropic medium are considered. The medium is described by a generic wave-number profile wherein the field is formulated by a Gaussian plane-wave distribution and the propagation is obtained by saddle-point asymptotics to extract the Gaussian beam phenomenology in the anisotropic environment. The resultant field is pa...

The purpose of this in vitro study was to evaluate the capacity of ProFile.04 Taper Series 29 files to remove gutta-percha during curved root canal retreatment. Forty-four mandibular molars whose mesial roots presented between 26 and 40 degrees of curvature, determined by Schneider's method, were selected. The root canals were enlarged to ISO size 35 and obturated with laterally condensed gutta...

We study two-dimensional (2D) electron systems in the hydrodynamic regime. show that a geometrical Berry curvature modifies effective Navier-Stokes equation for viscous flow topological materials. For small electric fields, Hall current becomes negligible compared to longitudinal current. In this regime, we highlight an unconventional Poiseuille with asymmetric profile and deviation of maximum ...

INTRODUCTION Instrument separation is a serious concern in endodontics. Stainless steel instruments usually deform before they separate whereas Nickel Titanium instruments do not show any sign of deformation. AIM of the present study was to compare the cyclic rotations needed to fracture three different rotary nickel titanium endodontic instruments namely Profile, K3 Endo, RaCe in simulated c...

In this paper, we propose a new object classification technique based on polygonal approximation of the open profile of object. The vertices of polygonal approximation are formed by high curvature points of the profile and they are selected by Fourier transform of the object contour. A series of features are computed from the polygonal approximation and then the minimum distance classifier is u...

Long-range electrostatic fields deform the surface profile of a conductive liquid in the vicinity of the contact line. We have investigated the equilibrium profiles by balancing electrostatic and capillary forces locally at the liquid vapor interface. Numerical results show that the contact angle at the contact line approaches Young's angle. Simultaneously, the local curvature displays a weak a...

The focus of this paper is on the development of a novel cross correlation technique for shape matching between two similar objects. The shape profile is derived from the curvature of the object profile. The cross correlation technique is applied to the shape profile of the two image objects to evaluate their similarity. An application of the shape profile technique is presented in the context ...

We prove that a Ricci curvature based method of triangulation of compact Riemannian manifolds, due to Grove and Petersen, extends to the context of weighted Riemannian manifolds and more general metric measure spaces. In both cases the role of the lower bound on Ricci curvature is replaced by the curvature-dimension condition CD(K,N). We show also that for weighted Riemannian manifolds the tria...