We propose a two-phase heuristic for crossing reduction in circular layouts. While the first algorithm uses a greedy policy to build a good initial layout, an adaptation of the sifting heuristic for crossing reduction in layered layouts is used for local optimization in the second phase. Both phases are conceptually simpler than previous heuristics, and our extensive experimental results indica...

We prove the existence of energy equilibria of the di-block copolymer problem in the unit disk. They consist of concentrically layered microdomains rich in one of the two monomer building units. We construct them by solving the proper singular limit of the free energy functional. The same limit also explains how under a dynamic law of the free energy, circular interfaces of non-equilibria may m...

The measurement of the mutual impedance of thin circular loop antennas on an N-layered conducting medium at high frequency is calculated. The horizontal, vertical coplanar, perpendicular and vertical coaxial loop antennas have been presented, the comparison between them and the numerical results have been calculated. The displacement currents in free space and in the conducting medium are taken...

In layered and blocky rock slopes, toppling failure is a common mode of instability that may occur in mining engineering. If this type of slope failure occurs as a consequence of another type of failure, it is referred to as the secondary toppling failure. “Slide-head-toppling” is a type of secondary toppling failures, where the upper part of the slope is toppled as a consequence of a semi-circ...

Thoroughly understanding the dynamic behavior of two-dimensional molybdenum disulfide (MoS2) is extremely important to MoS2-based nanoelectromechanical device. In this paper, circular Mindlin plate model (CMPM) proposed investigate temperature-induced vibration single-layered MoS2 (CSLMoS2). When size CSLMoS2 very small, natural frequencies calculated by CMPM are closer molecular (MD) simulatio...