Estimating the intrinsic dimension of a high-dimensional data set is a very challenging problem in manifold learning and several other application areas in data mining. In this paper we introduce a novel local intrinsic dimension estimator, conical dimension, for estimating the intrinsic dimension of a data set consisting of points lying in the proximity of a manifold. Under minimal sampling as...

Many mammals forage and burrow in dark constrained spaces. Touch through facial whiskers is important during these activities, but the close quarters makes whisker deployment challenging. The diverse shapes of facial whiskers reflect distinct ecological niches. Rodent whiskers are conical, often with a remarkably linear taper. Here we use theoretical and experimental methods to analyze interact...

Casimir energies for a massless scalar field for a conical wedge and a conical cavity are calculated. The group generated by the images is employed in deriving the Green function as well as the wave functions and the energy spectrum.

A number of commonly available density functionals have been tested for their ability to describe the energetics and the geometry at conical intersections in connection with the spin-restricted ensemble referenced Kohn-Sham (REKS) method. The minimum energy conical intersections have been optimized for several molecular systems, which are widely used as paradigmatic models of photochemical rear...

Two-particle azimuthal correlations in central Au+Au collisional at RHIC have revealed a broadened away-side structure, with respect to perpherial Au+Au, pp, and d+Au. This could be explained by different physics mechanisms such as: large angle gluon radiation, deflected jets, Ĉerenkov gluon radiation, and conical flow generated by hydrodynamic shock-waves. We can discriminate the scenarios wit...

We study the effects of different nanopore geometries (double-conical, single-conical, cylindrical) on the electrostatic potential distribution and ionic conductivity in a double-layered semiconductor nanopore device as functions of the applied membrane bias. Ionic current-voltage characteristics as well as their rectification ratios are calculated using a simple ion transport model. Based on o...

We study magnetic vortex-like excitations lying on the surface of a circular cone. Its energy appears to be linearly dependent on the conical apperture parameter, besides of being logarithmically divergent with sample size. In addition, we realize a geometrical-like pinning of the vortex, say, it is energetically favourable for it to nucleate around conical apex. Similar effect is also obtained...

This 3D finite element study assessed the stress distribution in mandibular overdenture supported by the 3i Locator system attached to two cylindrical or conical implants placed at the canine region. A 100 N vertical load was applied over the right first molar of the two overdenture models. The von Mises stresses were concentrated at the cervical and middle implant thirds. Cylindrical implants ...

This paper presents a new method for real-time modelling soft tissue deformation. It improves the traditional mass-spring model with conical springs to deal with nonlinear mechanical behaviours of soft tissues. A conical spring model is developed to predict soft tissue deformation with reference to deformation patterns. The model parameters are formulated according to tissue deformation pattern...