which can also be thought of as the number of paths from the lower-left corner to the upper-right corner of a k by n− k box, using unit steps up or right. insert Young diagram. The tangent space at pA is Hom(S,Q), where S is the vector space corresponding to pA, and Q = C /S. This has basis {ea ⊗ eb | a ∈ A, b 6∈ A} so the characters of the torus action are ta − tb, for a ∈ A and b 6∈ A. Given ...

A new algorithm is proposed for detection of corners and other high curvature points in planar curves. A corner is deened as a location where a triangle with speciied opening angle and size can be inscribed in the curve. The tests compare the new algorithm to four alternative algorithms for corner detection.

This work presents patterning of thick (10–50 μm) hybrid polymer structures of ORMOCER by laser direct writing. ORMOCER combine polymer-like fabrication processes with glass-like surface chemistry that is beneficial for many bio-microfluidic applications. ORMOCER is liquid before exposure, so patterning is done by contact-free lithography, such as proximity exposure. With laser direct writing, ...

The geometric percolation thresholds for circular, elliptical, square, and triangular plates in the three-dimensional space are determined precisely by Monte Carlo simulations. These geometries represent oblate particles in the limit of zero thickness. The normalized percolation points, which are estimated by extrapolating the data to zero radius, are etac=0.961 4+/-0.000 5, 0.864 7+/-0.000 6, ...

The magnitude and uniformity of the hotface temperature greatly affects the life of continuous casting molds, in addition to affecting surface defects in the product, such as longitudinal cracks. In this work, several different designs for the cooling channels of a beam-blank mold are evaluated using two-dimensional finite-element heat conduction models in order to minimize hotface temperature ...

We present a corner-detection algorithm based on a model for end-stopping cells in the visual cortex. Shortcomings of this model are overcome by a combination over several scales. The notion of an end-stopped cell and the resulting corner detector is generalized to color channels in a biologically plausible way. The resulting corner detection method yields good results in the presence of high f...

Harris corner detection algorithm called Harris corner detector is a very effective corner algorithm for gray-scale images. The corners extracted by Harris corner detector are stable, reliable, homogeneous and reasonable. However, it has own inevitable limitations. For the shape recognition of parts, an improved Harris corner detector is proposed in this paper. Based on the analysis of Harris c...

In this paper, a novel corner detection method is presented, to extract geometrically important corners for robot applications, such as indoor mobile robot navigation or manipulation. Intensity‐based corner detectors, such as the Harris corner, can detect corners in noisy environments, but have inaccurate corner positions and miss the corners of obtuse angles. Edge‐based corner det...

injuries to the posterolateral corner (plc) comprise a significant portion of knee ligament injuries. a high index of suspicion is necessary when evaluating the injured knee to detect these sometimes occult injuries. moreover, a thorough physical examination and a comprehensive review of radiographic studies are necessary to identify these injuries. in this sense, stress radiographs can help to...

We construct various periodic travelling wave solutions of the Ostrovsky/HunterSaxton/short pulse equation and its KdV regularized version. For the regularized short pulse model with small Coriolis parameter, we describe a family of periodic travelling waves which are a perturbation of appropriate KdV solitary waves. We show that these waves are spectrally stable. For the short pulse model, we ...