弹性力学的Lagrange形式：用Routh方法建立弹性有限变形问题的基本方程

将弹性有限变形问题纳入Lagrange力学的理论体系中，并用经典力学中业已存在的Routh方法构建了有限变形平面应变问题和有限变形平面应力问题的基本微分方程，讨论了有限变形大挠度问题vonkarman方程中存在的矛盾进而提出了两种改进方案．     

sl_2(R)上Harish-Chandra模及其应用

将ｓｌ２（Ｒ）上不可约Ｈａｒｉｓｈ－Ｃｈａｎｄｒａ模及ｓｌ２（Ｒ）上不可分解的Ｈａｒｉｓｈ－Ｃｈａｎｄｒａ模进行了完全分类，得到了与ｓｌ２（Ｃ）上模分类的不同形式．作为应用，又构造了实Ｖｉｒａｓｏｒｏ代数的一类新的不可约表示．     

类镍W46+、Au51+偶极跃迁的相对论多组态计算

本文基于全相对论Dirac-Fock方法,分别用GRASP0和GRASP2原子结构程序包计算了金和钨的类镍离子3d10-3d94p、3d10-3d94f、3p63d10-3p53d104s和3p63d10-3p53d104d之间的电偶极跃迁波长和振子强度,得到与实验相一致的结果;同时分析了组态相互作用和有限核体积分布效应对高Z高剥离态多荷电离子的原子结构参数的影响.     

浙江中部夏熟作物田主要杂草生态相似性的数量分析

应用七级目测法对浙江中部地区27个夏熟作物田样点的杂草进行了优势等级调查，将所得数据转换成重要值，以杂草在27个样点中的重要值为运算指标，应用主成分分析法和图论聚类中的最小生成树法，对24种杂草的生态学相似性进行了比较，指出了长期使用单一的除草剂导致农田杂草种群迅速更迭的原因：杂草对除草剂的敏感性差异及不同杂草间的生态学特性的差异。     

函数模拟法求解锥形模超塑挤压的力学场——超塑挤压解析理论之一

本文首次用模拟位移函数的方法,给出锥形模超塑挤压力学场的解析式以及应变、应变速率和应力的约束方程。由于实验选用的是典型超塑性合金ZnAl₅,所以结果有相当的包络性。即使对于非典型超塑性材料,这种方法亦有普遍意义。     

D_n类有限表示型自入射代数的不可分解模,(Ⅰ):两角代数

本文结果:(1)确定了 D_n 类两角代数(two-cornered algebra)的不可分解模结构.(2)给出了不可分解模的 Loewy 因子和 socle 因子的计算公式.(3)证明了不可分解模由其 Loewy 因子,socle 因子二者之一唯一确定;还证明了,非单的不可分解模由其 top 与 socle 唯一决定.     

An Implicit Iteration Process with Errors for a Finite Family of r-strictly Asymptotically Pseudocontractive Mappings

In this paper,we will establish several strong convergence theorems for the approximation ofcommon fixed points of r-strictly asymptotically pseudocontractive mappings in uniformly convex Banachspaces using the modiied implicit iteration sequence with errors,and prove the necessary and sufficient conditionsfor the convergence of the sequence.Our results generalize,extend and improve the recent work,in thistopic.     

A Calculation Approach to Elastic Constants of Crystallines at High Pressure and Finite Temperature

Elastic constants of Na and Li metals are calculated successfully for temperatures up to 350K and pressures up to 30GPa using a scheme without involving any adjustable parameter.Elastic constants are assumed to depend only on an effective pair potential that is only determined by the average interatomic distance.Temperature has an effect on elastic constants by way of charging the equilibrium.The elastic constants can be obtained by fitting the relationship between total energy and strain tensor using the new set of lattice parameters obtained by calculating displacement of atoms at the finite temperature and at a fixed pressure.The relationship between the effective pair potential and the interatiomic distance is fitted by using a series of data of cohesive energy corresponding to lattice parameters.     

Transverse Effects in Slow Light Propagation

The effect of finite control beam on the transverse spatial profile of the slow light propagation in an electromagnetically induced transparency medium is studied. From the second-order wave equation and linear response of an EIT medium to the signal field, we find it is possible to produce an effective waveguide for the signal field. The existence and properties of a set of localized, stationary transverse modes are demonstrated. Especially, by carefully manipulating the profile of the control beam, we can realize single-mode propagation for the signal field, which may be important for potential applications.