非负Ricci曲率开流形的拓扑

我们证明了对于具有非负Rieei曲率,大体积增长且内半径下有界的完备n维Riemann流形,只要存在常数C>0使得 则它微分同胚于欧式空间Rn.我们还证明了在某些pinching条件下具有非负射线曲率的完备n维Riemarm流形微分同胚与Rn,改进了已知的结果.     

Nano-Fabrication by Cathodic Plasma Electrolysis

Cathodic plasma electrolytic (CPE) techniques are new groups of coating processes, which can be used for fabrication of nanostructured layers on surface of a wide range of metallic substrates. The most exciting visible feature of these atmospheric-based plasma techniques is continuous sparking on processed surface inside an electrolyte. Unlike the anodic part of plasma electrolysis (usually known as plasma electrolytic oxidation (PEO) or micro arc oxidation (MAO)), which is commonly used for oxidation of light metals/alloys such as aluminum, titanium and magnesium, CPE techniques can clean and coat different metals and alloys such as steel, copper, and light metals/alloys with formation of wide range of nanostructures including complex carbides, carbonitrides, intermetallics, and even oxides. It has been observed that the properties of obtained layers depend on the characteristics of achieved nanostructures such as average size, distribution and average coordination number of nanocrystallites. Furthermore, the properties of the processed surface can be tailored by tailoring the nanostructure characteristics. There is limited literature available on the mechanism of CPE and its connection to the morphology of nanostructured layers. This article addresses the two important aspects of CPE, namely characterization of nanostructured layers and mechanism of cathodic plasma electrolysis, which are reviewed in accordance to the morphology of fabricated nanostructures.     

有应力史差非匀质截面轴心受压杆的性能研究

对有应力史差、非匀质、非线弹性的轴心受压构件进行了理论分析和试验研究，初步揭示了此类构件的受力特点．理论分析和试验表明：此类构件截面承载力不是各部分材料承载力的简单叠加；承载力和截面破坏控制点因截面上材料的本构关系的变化和应力史差而发生改变．     

关于Hopfield-型神经网络收敛性和求能量函数极小解的可靠性的研究

本文在徐宗本等1996年的论文的基础上进一步完善了Hopfield-型神经网络的收敛性定理;根据徐宗本等1996年的论文中由能量函数的极小解与网络的稳定点之间的关系而提出的三类能量函数(正则性,正常性和完备性能量函数),本文提出了两类具有完备性的Hopfield-型网络.     

关于用矩阵多项式表示矩阵函数的存在性与唯一性问题

利用Banach 空间的极限理论证明用矩阵多项式表示矩阵函数(收敛的方阵幂级数)的存在性与唯一性.     

对氯甲基苯乙烯与丙烯腈、甲基丙烯酸酯类的自由基共聚研究

<正> 对氯甲基苯乙烯(p-CMS)是合成功能高分子的一个非常有用的起始单体,利用它的均聚以及与其它烯类单体的共聚反应,可制得含活性基团的高分子材料。但以往对该单体的聚合及共聚研究,较多的是以邻、间、对位氯甲基取代苯乙烯的混合物作为研究对象。本文采用纯对氯甲基苯乙烯,在开展对其基本性质、均聚反应机理研究的同     

Perturbation and variational approach for the equation of state for hard-sphere and Lennard-Jones fluids

The present work uses the concept of a scaled particle along with the perturbation and variation approach, to develop an equation of state (EOS) for a mixture of hard sphere (HS), Lennard–Jones (LJ) fluids. A suitable flexible functional form for the radial distribution function G(R) is assumed for the mixture, with R as a variable. The function G(R) has an arbitrary parameter m and a different equation of state can be obtained with a suitable choice of m. For m = 0.75 and m = 0.83 results are close to molecular dynamics (MD) result for pure HS and LJ fluid respectively.     

山东半岛与长三角、珠三角城市群综合竞争力比较研究

客观地评价山东半岛城市群综合竞争力的现状, 对其可持续发展具有重要的作用. 运用ANP (Analytic Network Process)方法从综合经济实力、居民生活质量、交通运输与通讯、科技创新力4方面构建城市群竞争力评价指标体系, 建立城市群竞争力多指标非线性综合评价决策模型, 对山东半岛与长江三角洲、珠江三角洲城市群进行实证比较研究. 揭示山东半岛城市群在经济增长速度、医疗卫生与环境保护、教育资源等方面具有竞争优势, 但在经济总体实力、科技研发投入与产出比、交通与通讯建设等方面明显滞后.     

CAVITATION BIFURCATION FOR COMPRESSIBLE ANISOTROPIC HYPERELASTIC MATERIALS

I. INTRODUCTION The cavitation bifurcation problem, sudden formation and growth of voids in solid materials, haslong attracted much attention because of the fundamental role it plays in the local failure and fractureof materials. For hyperelastic materi…     

A Novel Class of Coherent Localized Structures for the Maccari System

By means of the Backlund transformation, a quite general variable separation solution of the (2 1)-dimensional Maccari systems is derived. In addition to some types of the usual localized excitations such as dromion,lumps, ring soliton and oscillated dromion, breathers solution, fractal-dromion, fractal-lump and chaotic soliton structurescan be easily constructed by selecting the arbitrary functions appropriately, a new novel class of coherent localizedstructures like peakon solution and compacton solution of this new system are found by selecting aperopriate functions.