Momentum-resolved magnetotunneling spectroscopy is performed at a single sharp quantum Hall (QH) edge to probe the structure of integer QH edge modes. An epitaxially overgrown cleaved edge is shown to realize the sharp-edge limit with interchannel distances smaller than both the magnetic length and the Bohr radius where the Chklovskii soft-edge picture is no longer valid. The line shape of prin...

Carbon fiber reinforced plastics (CFRP) have good physical properties, such as high specific strength and high specific modulus. However, cutting delamination, tearing and burr, etc. often occur in the machining process of CFRP, which results in the uncontrollability of machining surface quality and serious tool wear. In this paper, milling of CFRP with a staggered cutter was carried out, the c...

In this paper, we provide spectral conditions for the existence of two edge-disjoint cycles and same length in a graph, which can be viewed as analogues Erd?s Posa's condition Erd?s' classic problem about maximum number edges graph without length, respectively. Furthermore, give to guarantee $k$ triangles graph.

In the present research, a unified formulation for free vibration analysis of the bidirectional functionally graded conical and cylindrical shells and annular plates on elastic foundations is developed. To cover more individual cases and optimally tailored material properties, the material properties are assumed to vary in both the meridian/radial and transverse directions. The shell/plate is a...

A method of improving coating thickness measurement repeatability of the ball crater method is proposed. The improvement is realized by using image processing techniques to measure the radii of crater circles from a microscope image. While traditional methods use a limited number of operator-selected points on a circle edge to calculate the radius value, the new method measures the radius by fi...

Heterochromatic flicker photometry is commonly used to measure macular pigment optical density (MPOD) in the human retina. It has been proposed, and accepted by many, that the MPOD so measured represents the value at a retinal location corresponding to the edge of the flickering, circular stimulus. We have investigated this proposal by using a series of annular stimuli to determine the MPOD dis...

[A] Inner boundary localization: Edges are obtained over thresholded image using Sobel filters. Hough transform is improved by using the orientation of each pixel to reduce the search space from 3D i.e 3-tuple < x, y, r > to 1D of the radius only. It makes use of the key observation that “if an edge point lies on a circle, then the center of circle should lie on the normal to the edge direction...

We consider weighted graphs, where the edge weights are positive definite matrices. The eigenvalues of a graph are the eigenvalues of its adjacency matrix. In this study the upper bounds for the spectral radius of weighted graphs, which edge weights are positive definite matrices, are compared. Mathematics Subject Classification: 05C50

BACKGROUND There is limited empirical knowledge about the effect of ski geometry, particularly in the context of injury prevention in alpine ski racing. We investigated the effect of sidecut radius on biomechanical variables related to the mechanics of turning. METHODS During a field experiment, six European Cup level athletes skied on three different pairs of giant slalom (GS) skis varying i...

Relativistic spectral lines from the accretion disc of a neutron star low-mass X-ray binary can be modelled to infer the disc inner edge radius. A small value of this radius tentatively implies that the disc terminates either at the neutron star hard surface, or at the innermost stable circular orbit (ISCO). Therefore an inferred disc inner edge radius either provides the stellar radius, or can...