A NEW ENGINEERING CALCULATING MODEL FOR A LINEAR INCLUSION AND ITS APPLICATIONS

By using the hypothesis of the deformation of the straight bar and beamin mechanics of materials,a new engineering calculating model for a linear inclusion inplane is presented.Through the Kelvin's solution of a concentrated force,the inclusionproblem is reduced to solving a set of uncoupled singular integral equations which canbe solved by the numerical method of singular integral equation.Based on theseresults,several applicable examples including an inclusion-crack problem are calculatedand the results are quite satisfactory.     

23Na NMR方法观察硒缺乏对大白鼠红细胞钠离子浓度的影响

用无损伤²³Na NMR检测技术测定了正常和低硒饲料喂养的大白鼠的红细胞内钠离子浓度.结果表明:(1)缺硒可引起胞内钠离子浓度升高,(2)高钠细胞比正常细胞易溶血,(3)在饲料中补充Na₂SeO₃后可使胞内钠离子浓度恢复至正常水平,溶血情况也有所改善.     

激光对金属表面热辐射作用的数值分析

本文以常规的激光热处理工艺为基础，建立相应的数学物理模型，导出热流传导的偏微分方程。从激光加工工艺中各项参数对温度场分布的影响出发，理论上作了多方面的计算与分析，得出了一些与实用相联系并具有一定应用价值的结论。运用计算机作数值计算和绘图处理，所得结果进一步说明了这些结果的规律性。     

高压下Pd82Si18合金凝固过程中形成的亚稳相

 使用X射线衍射、差热分析、透射电镜及Ｘ射线能谱分析，研究了Pd₈₂Si₁₈合金在高压下的凝固特点及所形成的相的结构和稳定性。在5.5 GPa压力下以100 K/s的冷却速率淬火，得到了面心立方结构钯硅固溶体（MS-Ⅰ），其点阵常数为a=0.388 3 nm。与钯硅固溶体共存的还有另一未知结构亚稳相（MS-Ⅱ）。在700 K时上述亚稳相转变成平衡相Pd+Pd₃Si。     

Semi-empirical likelihood ratio confidence intervals for the difference of two sample means

We all know that we can use the likelihood ratio statistic to test hypotheses and construct confidence intervals in full parametric models. Recently, Owen (1988,Biometrika,75, 237–249; 1990,Ann. Statist.,18, 90–120) has introduced the empirical likelihood method in nonparametric models. In this paper, we combine these two likelihoods together and use the likelihood ratio to construct confidence intervals in a semiparametric problem, in which one model is parametric, and the other is nonparametric. A version of Wilks's theorem is developed.     

Robust estimation in generalized semiparametric mixed models for longitudinal data

In this paper, we consider robust generalized estimating equations for the analysis of semiparametric generalized partial linear mixed models (GPLMMs) for longitudinal data. We approximate the non-parametric function in the GPLMM by a regression spline, and make use of bounded scores and leverage-based weights in the estimating equation to achieve robustness against outliers and influential data points, respectively. Under some regularity conditions, the asymptotic properties of the robust estimators are investigated. To avoid the computational problems involving high-dimensional integrals in our estimators, we adopt a robust Monte Carlo Newton-Raphson (RMCNR) algorithm for fitting GPLMMs. Small simulations are carried out to study the behavior of the robust estimates in the presence of outliers, and these estimates are also compared to their corresponding non-robust estimates. The proposed robust method is illustrated in the analysis of two real data sets.     

On the boundedness of solutions of the Chen system

By constructing a suitable Lyapunov function, we show that for the system parameters in some specified regions, the solutions of the Chen system are globally bounded.     

黎曼流形上不变集的分形维数估计

本文利用整体Lyapunov指数给出了光滑黎曼流形上C1-映射不变集的分形维数的上界.