In this paper, we introduce a general theory of corner rings in noncommutative rings that generalizes the classical notion of Peirce decompositions with respect to idempotents. Two basic types of corners are the Peirce corners eRe (e2 = e) and the unital corners (corners containing the identity of R). A general corner is both a unital corner of a Peirce corner, and a Peirce corner of a unital c...

The corner separation in the high-loaded compressors deteriorates the aerodynamics and reduces the stable operating range. The flow pattern is further complicated with the interaction between the aperiodic corner separation and the periodically wake-shedding vortices. Accurate prediction of the corner separation is a challenge for the Reynolds-Averaged Navier–Stokes (RANS) method, which is base...

An algorithm is presented that analyzes the edge structure in images locally, using a geometric approach. A local edge structure that can be interpreted as a corner or a junction is assumed to be representable by a set of line segments. In a first step a segmentation of the local edge structure into line segments is evaluated. This leads to a graph model of the local edge structure, which can b...

Stackelberg game models of security have received much attention, with a number of approaches for computing Stackelberg equilibria in games with a single defender protecting a collection of targets. In contrast, multi-defender security games have received significantly less attention, particularly when each defender protects more than a single target. We fill this gap by considering a multidefe...

In this paper we present a new measure for corner detection based on the eigenvalues of the covariance matrix of boundary points over a small region of support. It avoids false alarms for superfluous corners on circular arcs. Experimental results have shown that the proposed corner detection methods using curvature measures. It has good detection and localization for curved objects in different...

A corner detection algorithm proposed by Hood, et al. [6] which detects corner points on a discretely defined curve represented by x, y-coordinates is de-parameterized and its corner detection accuracy is improved. The accuracy of the original algorithm is sensitive to several user-defined parameters. This paper details the process of automated de-parameterization of the algorithm using inverse...

This research investigates the behavior of square concrete columns externally wrapped by low-cost and easily available fiber rope reinforced polymer (FRRP) composites. study mainly aims to explore axial stress-strain relationships FRRP-confined columns. Another objective is assess suitable predictive models for ultimate strength strain A total 60 were cast, strengthened, tested under compressio...

The shock wave–turbulent boundary layer interaction over a compression corner is studied using global stability analysis (GSA) and resolvent based on separation of scales between the low-frequency, large-scale motions turbulent fluctuations. GSA identifies leading stationary mode, which becomes globally unstable as ramp angle beyond critical value. For stable flows, captures two-dimensional thr...