Multiple positive solutions of the singular boundary value problem for Sturm-Liouville equation with impulses on the half line

We consider the existence of multiple positive solutions of the singular boundary value problem for the Sturm-Liouville equation with impulses on the half line. By applying the fixed-point index theorem of a cone map, existence and multiplicity results about positive solutions are obtained. Our results improve and generalize some well-known results. An example is presented to demonstrate applications of our main results.     

Adaptive Modified Function Projective Lag Synchronization for Two Different Chaotic Systems with Stochastic Unknown Parameters

In this paper, we investigate the modified function projective lag synchronization for two different stochastic chaotic systems using adaptive control method. We design an adaptive controller to make the mean square of synchronization error convergence to an arbitrarily small bound around zero depending on the controller feedback gain according to the Lyapunov stability theory. One example is presented to demonstrate the effectiveness of the proposed controller.

     

区域分工水平评价的新方法——区位结构熵法

根据区域产业分工理论,运用区位商测定区域专业化程度.然后,基于复杂系统结构熵理论,从产业在区际和区内聚集分布信息出发,融合行业路径和地区路径分析法于一体,提出并证明了可以用区位结构熵全面衡量产业在空间上的分布状况.在此基础上,构建一维区域分工指数,综合测定区域分工水平.最后,以我国工业空间分布为例,例证了该方法是合理的、可行的,具有一定的推广和应用价值.     

奇素数幂中的优美指数猜想

对于不小于7素数p,设1≤k≤p-1,则使用同余方法可证明方程n=pkp-1d（n）无正整数解,从而pkp-1不是优美指数,进而可以肯定＂存在无穷多个正整数不是优美指数＂.     

Deterministic Entanglement Purification of the Greenberger-Horne-Zeilinger States in Quantum-Dot and Micro-cavity Coupled System

An improved purification of the triplet Greenberger-Horne-Zeilinger (GHZ) state is demonstrated for the electron-spin-entangled state in the quantum-dot (QD) and micro-cavity coupled systems. In order to distill the maximally entangled GHZ state efficiently, we designate a deterministic entanglement purification protocol (EPP) by using a pair of the triplet-electron-spin-entangled systems. It is based on the elegant parity-check operations performed in the cavity-spin-coupling system with the assistance of an ancillary single photon. With the current and feasible technology, the maximally entangled GHZ states can be achieved as much as flexible for the long-distance quantum communications since only single-photon detection and single-electron detection are required in practice.     

炭纤维增强双基体炭/碳化硅(C/C-SiC)制动材料的性能

以针刺炭纤维整体毡为预制体,采用呋喃树脂加压浸渍、加压固化和炭化制得密度为1.45g/cm3的多孔体C/C材料,然后熔融渗硅制得密度为2.37g/cm3的炭纤维增强双基体炭/碳化硅(C/C-SiC)材料.结果表明:熔融渗硅中反应生成的SiC基体主要分布在胎网层、针刺纤维附近以及无纬布层的纤维束间;C/C-SiC材料的弯曲强度为165MPa,垂直和平行于无纬布铺层方向的压缩强度分别为210和196MPa;C/C-SiC材料的摩擦性能稳定,平均动摩擦系数为0.38,静摩擦系数为0.40,和对偶件的线磨损率分别为5.3和3.7μm/(面.次),其磨损过程是由磨粒磨损、黏着磨损和氧化磨损共同作用的结果.