In ring theory, duoness and Zhou radical which is known as delta ideal have important roles. this paper, we consider both concepts together by studying on radical. By means of study, obtain a new kind generalizations commutativity. Firstly, determine some rings, then applied to the duo property so introduce notion right (left) dZr rings. We show that not left-right symmetric. investigate relati...

‎In this paper we give an upper bound for Noetherian dimension of all injective modules with Krull dimension on arbitrary rings‎. ‎In particular‎, ‎we also give an upper bound for Noetherian dimension of all Artinian modules on Noetherian duo rings.

Jiayi Wang, Duo Fu & Jiaxi Xu* State Key Laboratory of Chemical Resource Engineering, Department Organic Chemistry, College Beijing University Technology, Beijing, People’s Republic China

This paper describes about hardware game tree search method of Blokus Duo. As algorithm of the game tree search method, we apply an evaluation function of sphere of influence. The game tree search method of hardware is implemented on FPGA. An implementation of the game tree search method by the hardware shows the effect which is easily of the operating speed improving.

Self-Assembly Techniques for Massively Parallel Packaging of MEMS Devices Jiandong Fang Chair of Supervisory Committee: Professor Karl F. Böhringer Electrical Engineering This dissertation investigates applications of self-assembly for massively parallel packaging of flat micro-components, the most common appearance of microelectromechanical systems (MEMS) or CMOS chips. Self-assembly assembles...

We study positive solutions of the Dirichlet problem for —Ají = up — A, p > 1, A > 0, on the unit ball 0. We show that there exists a positive solution (uo, Ao) of this problem which satisfies in addition duo/dn = 0 on âfî. We prove also that at (uo,Ao), the symmetry breaks, i.e. asymmetric solutions bifurcate from the positive radial solutions.

Introduction: Fast Spin Echo (FSE) could suffer from the non-CPMG condition that results in destructive echo interference, unstable echo train and signal cancellation. Diffusion-weighted (DW) PROPELLER [1], an FSE-based sequence, mitigates the non-CPMG issue by XY phase cycling [1] combined with split-blade acquisition [2]. However, XY phase cycling requires refocus flip angle be close to 180° ...