行NA随机变量三角阵列的完全收敛性

令{Xm;1≤i≤n,n≥1}是行NA的随机变量三角阵列．利用NA随机变量序列的一个矩不等式,讨论了行NA的随机变量三角阵列在被随机变量X弱平均控制的条件下的完全收敛性．所得到的结果推广了行独立的随机变量三角阵列相应的结果．     

COMPLETE REDUCIBILITY FOR QUASILINEAR HYPERBOLIC SYSTEMS

In this paper we present a necessary and sufficient condition to guarantee the complete reducibility for quasilinear hyperbolic systems and give some examples.     

New Complexiton Solutions of （2＋1）-Dimensional Nizhnik-Novikov-Veselov Equations

In this paper, we extend the multiple Riccati equations rational expansion method by introducing a new ansatz. Using this method, many complexiton solutions of the （2＋ 1 ）-dimensional Nizhnik-Novikov-Veselov equations are obtained which include various combination of hyperbolic and trigonometric periodic function solutions, various combination of hyperbolic and rational function solutions, various combination of trigonometric periodic and rational function solutions, etc. The method can be also used to solve other nonlinear partial differential equations.     

Massive particles＇ tunnelling radiation from the black hole with a mass-quadruple moment

In this paper, we extend Zhang and Zhao's recent work to the black hole with a mass-quadruple moment. The behaviour of the tunnelling massive particles is investigated, and the emission rate at which massive particles tunnel across the event horizon of the black hole is calculated. The result is consistent with an underlying unitary theory, and takes the same functional form as that of a massless particle.     

水中硝基苯胺类化合物酶免疫化学分析技术研究

采用戊二醛法, 将4-硝基苯乙胺与牛血清蛋白(BSA)和卵清蛋白(OVA)共价偶联, 分别合成了免疫原4-硝基苯乙胺-BSA和包被原4-硝基苯乙胺-OVA, 经紫外分光光度计及飞行时间质谱扫描鉴定. 用合成的免疫抗原免疫新西兰大白兔, 并用合成的包被原进行间接竞争酶联免疫(ELISA)试验, 获得的抗血清效价达1∶32000. 方阵实验确定了包被抗原最佳浓度(0.5 mg/L)及抗血清最佳稀释度(1∶6000), 并建立了间接竞争ELISA方法. 工作曲线表明在1～1000 μg/L浓度范围内呈良好的线性关系, 该法IC₅₀值为(52.73±2.67) μg/L, 检测限为5.12 μg/L. 其它类似结构不干扰硝基苯胺的测定. 成功地建立了硝基苯胺类化合物的间接竞争酶免疫化学分析方法．     

Boundary element analysis of interaction between an elastic rectangular inclusion and a crack

The interaction between an elastic rectangular inclusion and a kinked crack inan infinite elastic body was considered by using boundary element method. The new complexboundary integral equations were derived. By introducing a complex unknown function H(t)related to the interface displacement density and traction and applying integration by parts,the traction continuous condition was satisfied automatically. Only one complex boundaryintegral equation was obtained on interface and involves only singularity of order l/ r. Toverify the validity and effectiveness of the present boundary element method, some typicalexamples were calculated. The obtained results show that the crack stress intensity factorsdecrease as the shear modulus of inclusion increases. Thus, the crack propagation is easiernear a softer inclusion and the harder inclusion is helpful for crack arrest.     

Kantorovich theorem for variational inequalities

Kantorovich theorem was extended to variational inequalities by which the convergence of Newton iteration, the existence and uniqueness of the solution of the problem can be tested via computational conditions at the initial point.     

考虑高阶横向剪切正交各向异性板非线性弯曲的微分求积分析

采用微分求积方法（DQ方法）讨论了计及高阶横向剪切的正交各向异性弹性板的非线性弯曲问题．导出了非线性控制方程的DQ形式,利用推广的DQWB技巧处理了高阶矩的边界条件．进一步推广并运用新的分析技术简化了非线性方程的计算．为说明该方法的可靠性和有效性,将考虑剪切变形及不计剪切变形的薄板的数值结果与三维弹性解析解及其它数值解进行了比较,同时研究了数值结果的收敛性,并考察了不同的节点分布对收敛速度的影响A·D2还考察了几何、材料参数及横向剪切效应对正交各向异性板非线性弯曲的影响．分析结果表明横向剪切效应对正交各向异性中厚板的影响是显著的．     

计算7Li2振动能级煌振动-转动能级的辛格式矩阵法

利用辛格式矩阵法计算了双原子分子⁷Li₂在A¹Σ_u⁺态的振动能级和振动-转动能级,并与Ley-Koo等的计算结果作了比较.结果显示,辛格式矩阵法是收敛的和可靠的,是计算双原子分子的振动能级和振动-转动能级的合理的数值方法.     

机械振动理论方法与直链烷烃性质研究

将直链烷烃分子看成是一个多自由度振动系统,用机械振动理论中的传递矩阵法计算了C2～C32直链烷烃的固有频率,分析了固有频率随化合物结构单元的变化规律.发现各阶固有频率中的基频与直链烷烃的结构型性质呈现出优良的相关性,用各阶固有频率之和表示的总频与直链烷烃的加和型性质也呈现出优艮的相关性,将两者组合后还能够反映直链烷烃的凝聚型性质的变化规律.在此基础上建立了直链烷烃的物化性能与基频和总频之间的定量相关模型.用该模型对直链烷烃的电离能、沸点、临界温度、临界压力、密度、粘度、标准生成焓、离子标准生成焓、常压热容、折光指数等10种不同类型性质的实验数据进行回归分析,相关系数均大于0.999.