Some special structures of S*and A* semirings

Objectives: The main objective of this research article is to study the semiring structures, we have majorly focused on the constrains under which the structures of S*and A* semirings are additively and/or multiplicatively idempotent. We have also concentrated on the study of structures of totally ordered S* and A* semirings. Methods: We have imposed singularity, cancellation property, Integral Multiple Property (IMP) and some other constrains on both semirings. Findings: when we imposed totally ordered condition on these two semirings we observed that the additive structure takes place as a maximum addition. Applications: The proposed idempotents have wide applications to computer science, dynamical and logical systems, cryptography, graph theory and artificial intelligence.

Study on Advanced Structure with Application of Improved Influence Function Method in Solving Roll System Deformation Based on Material Properties

Influence function method is a common method to calculate the roll system deformation. It solves after discretizing the rollers load and elastic deformation, but the traditional influence function method doesn't consider whether the width of the rolled piece is equal to the integral multiple of the divided units length, therefore it only can solve approximately, which affects the calculation accuracy. According to the accuracy loss problem of the traditional algorithm, the paper puts forward a solution with advanced structure to deal with the left rolled pieces after division. The solution self-adapts the width changes of the rolled pieces, which not only avoids the problems of increasing the segmentation unit quantity to reduce the influence by edges and reducing the calculation speed of the traditional influence function method, but also improves the calculation accuracy of the model, and raising the level of material properties control.

CU Splitting on Frame Boundary for Arbitrary Resolution Video in HEVC

A highly flexible quadtree structure has been introduced in the latest high efficient video coding (HEVC) to efficiently represent video content. However, the performance of the quadtre structure would be impaired when the video resolution is not an integral multiply of the largest coding unit (CU). To address this, a new CU splitting method on the frame boundary for arbitrary resolution video is proposed to improve the coding efficiency of HEVC. This method introduces the non-square CU to extend the CU candidate set on the frame boundary when the video resolution is not an integral multiple of the largest CU size. Simulation results show that the proposed method can reduce the coding bit rate by up to 0.76% compared with the original TMuC 0.9 reference software.

THE CHAOTIC CONTROL ON THE OCCASIONAL NONLINEAR TIME-DELAYED FEEDBACK

The method of controlling chaos by occasional nonlinear time-delayed feedback is proposed. Through the numerical analysis of bifurcation diagram and Lyapunov exponent, we found that the systematic chaos can be controlled effectively by the nonlinear time-delayed feedback as the form of u(xn,xn-k)=cxnxn-k. Under the proper feedback coefficient c, time-delayed coefficient k and occasional feedback period N, the system could be controlled from chaos to the steady periodic orbit, and also the steady period is the integral multiple of the occasional feedback period N.

Periodic Berth-Year Pattern of the Founders of Quantum Physics

The distribution of birth years of physicists involved in the development of quantum mechanics shows a striking periodicity, with a period of about seven years. Although an obvious explanation of the phenomenon is lacking, a preference of humans to cooperate with persons who differ from their own age by an integral multiple of about 7 years could be a possible mediating mechanism.

Kinesin follows the microtubule's protofilament axis.

We tested the hypothesis that kinesin moves parallel to the microtubule's protofilament axis. We polymerized microtubules with protofilaments that ran either parallel to the microtubule's long axis or that ran along shallow helical paths around the cylindrical surface of the microtubule. When gliding across a kinesin-coated surface, the former microtubules did not rotate. The latter microtubules, those with supertwisted protofilaments, did rotate; the pitch and handedness of the rotation accorded with the supertwist measured by electron cryo-microscopy. The results show that kinesin follows a path parallel to the protofilaments with high fidelity. This implies that the distance between consecutive kinesin-binding sites along the microtubule must be an integral multiple of 4.1 nm, the tubulin monomer spacing along the protofilament, or a multiple of 8.2 nm, the dimer spacing.