On Donaldson’s flow of surfaces in a hyperkähler four-manifold

We prove some basic properties of Donaldson’s flow of surfaces in a hyperkähler 4-manifold. When the initial submanifold is symplectic with respect to one Kähler form and Lagrangian with respect to another, we show that certain kinds of singularities cannot form, and we prove a convergence result under a condition related to one considered by M.-T. Wang for the mean curvature flow.     

一种基于粒子滤波的测向定位跟踪算法

基于多站测向定位提供的目标辐射源方位角信息,提出了一种基于粒子滤波的测向定位跟踪算法.该算法采用序贯蒙特卡罗的粒子滤波技术,对目标辐射源方位信息进行粒子滤波融合处理,实现了对机动目标辐射源的无源定位跟踪.仿真实验表明,该算法适用于非线性模型和非高斯噪声的目标跟踪,与传统的基于卡尔曼滤波的多传感器融合跟踪算法相比,定位跟踪更为精确,从而对提高战场电子目标定位跟踪和精确打击具有广泛的应用价值.     

Ca3La(BO3)3：Tb3+的合成与发光性质

高温固相反应法合成了Ca₃La(BO₃)₃:Tb³⁺光致发光材料。利用扫描电镜和激光衍射分析仪测定了样品的晶粒形貌及粒径大小分布,利用荧光分光光度计研究了Ca₃La(BO₃)₃:Tb³⁺的光致发光特性。确定了在Ca₃La(BO₃)₃基质中Tb³⁺离子浓度对其发光强度的影响及其自身浓度猝灭机理;探讨了助熔剂Li₂CO₃、敏化剂Ce³⁺离子的加入对荧光粉发光强度的影响。     

掺钕钆镓石榴石激光陶瓷粉体的研究

优质的纳米前驱体是生成良好透明陶瓷的关键。采用Sol-gel法制得颗粒均匀、粒度小、无团聚、分散性好的Nd:GGG激光陶瓷前驱粉体。对透明陶瓷前驱体进行测试XRD分析,与标准JCPDS卡片对比表明样品属于立方晶系,空间群Ia3d,晶格常数为:A=123.7nm。粉体的最佳烧成温度为1000℃,煅烧时间8h。SEM观察发现,样品纯度高、单分散、颗粒均匀且近似球形,符合制备透明陶瓷的粉体要求。     

动态 Stackelberg 诱导对策问题

Stackelberg 诱导(Incentive)对策,以简单的二人对策来说,是讨论对一个具有递阶决策结构的系统,处于领导地位的决策者,如何通过选择和宣布适当的策略,来诱导处于随从地位的决策者采取对领导最为有利行动的问题.自从文[1]从控制理论的观点讨论了 Incentive 的概念后,Stackelberg 诱导对策的研究受到了较多的关注,发现了不少研究成果.然而从到迄今所出现的文献来看,对概念性问题的研究较多,而较缺乏有效的,特     

Robust locally testable codes and products of codes

We continue the investigation of locally testable codes, i.e., error‐correcting codes for which membership of a given word in the code can be tested probabilistically by examining it in very few locations. We give two general results on local testability: First, motivated by the recently proposed notion of robust probabilistically checkable proofs, we introduce the notion of robust local testability of codes. We relate this notion to a product of codes introduced by Tanner and show a very simple composition lemma for this notion. Next, we show that codes built by tensor products can be tested robustly and somewhat locally by applying a variant of a test and proof technique introduced by Raz and Safra in the context of testing low‐degree multivariate polynomials (which are a special case of tensor codes). Combining these two results gives us a generic construction of codes of inverse polynomial rate that are testable with poly‐logarithmically many queries. We note that these locally testable tensor codes can be obtained from any linear error correcting code with good distance. Previous results on local testability, albeit much stronger quantitatively, rely heavily on algebraic properties of the underlying codes. © 2006 Wiley Periodicals, Inc. Random Struct. Alg., 2006     

Improved bounds for sampling contingency tables

We study the problem of sampling contingency tables (nonnegative integer matrices with specified row and column sums) uniformly at random. We give an algorithm which runs in polynomial time provided that the row sums r_i and the column sums c_j satisfy r_i = Ω(n^3/2m log m), and c_j = Ω(m^3/2n log n). This algorithm is based on a reduction to continuous sampling from a convex set. The same approach was taken by Dyer, Kannan, and Mount in previous work. However, the algorithm we present is simpler and has weaker requirements on the row and column sums. © 2002 Wiley Periodicals, Inc. Random Struct. Alg., 21: 135–146, 2002     

用于近场集成光学头微透镜器件的灰度掩模技术

讨论了制作适用于近场集成光学头中的凸形、凹形微透镜和折衍射复合微透镜的灰度掩模技术。定性地给出了与几种典型的凸形、凹形微透镜和折衍射复合微透镜对应的灰度掩模版的设计实例 ,以及将它应用于光刻操作的情况 ,为采用灰度掩模技术制作适用于近场集成光学头中的微透镜器件奠定了基础。灰度掩模技术在微透镜器件的制作方面具有重要的应用前景 ,有助于简化制备工艺 ,降低制作成本 ,优化微透镜阵列的结构参数。     

A NEW MATRIX METHOD FOR SOLVING VIBRATION AND STABILITY OF CURVED PIPES CONVEYING FLUID

This paper proposes a new matrix method for calculating critical flow velocity of curved pipes conveying fluid, which have arbitrary centerline shape and spring supports. Its main advantage over other methods is that the corresponding characteristic equation can be reduced to a third order one, no matter how many elements are discretized in calculation. This will lead to saving computer time and obtaining a solution with good precision.     

枸橼酸莫沙必利的合成

分别以邻羟基对氨基苯甲醇钠，对氟苯甲醛，邻苯二甲酰亚胺为起始原料，制得3个中间体，用其中2个中间体经偶合，环化后与第3个中间体反应，再经成盐制得产品，其摩尔总收率为31．5％。