关于有限群的可解性

利用极大子群的几乎正规的概念得到了有限群为可解群的若干充要条件．     

关于精神损害赔偿制度若干问题的探讨

本文从我国精神损害赔偿制度现存的缺陷入手,通过国内外精神损害赔偿制度的简单对比,分析了我国此制度在主、客体范围和金额确定等方面存在的问题,并就此提出一些解决的办法.     

模糊集的无穷扩展原理

从普通集族{Xt}t?T（T为无限集）的直积Ⅱt?TXt出发，给出模糊集族At?F(Xt)(t?T)的直积概念；将通常的映射?：Ⅱt?TXt→Y扩展为模糊集族的直积Ⅱt?TF(Xt)到Y上的模糊集F(Y)的映射。     

对民族文化深层底蕴与旅游资源开发的思考--以吉林省延边朝鲜族自治州为例

朝鲜族的民族文化底蕴是中国朝鲜族两重性文化长期积淀的结果。在长期的历史发展过程中 ,朝鲜族形成了注重秩序、积极入世、民族传统心理与现代意识集于一身、重视结果而忽略过程的民族性格 ,在这种民族意识的支配下 ,延边注重旅游资源的有序开发 ,注重品牌效应 ,也重视打造民俗形象     

Robustness of a Class of Partial Diallel Cross Designs to the Unavailability of a Complete Block of Observations

Complete and partial diallel cross designs are examined as to their construction and robustness against the loss of a block of observations. A simple generalized inverse is found for the information matrix of the line effects, which allows evaluation of expressions for the variances of the line-effect differences with and without the missing block. A-efficiencies, based on average variances of the elementary contrasts of the line-effects, suggest that these designs are fairly robust. The loss of efficiency is generally less than 10%, but it is shown that specific comparisons might suffer a loss of efficiency of as much as 40%.     

改进灰色预测在油田多目标规划决策中的应用

建立了S油田勘探、开发、炼化、机械、公用工程等多个部门和全局的非线性多级目标优化规划模型,应用关联分析、改进灰色预测、回归分析求取规划模型的约束方程并线性化;编制了相应的计算软件,使之快速预测和优化油田各部门“九五”各年的投资和产值;并将优化结果与油田过去或计划值加以对比,给油田规划决策带来一定的参考。     

Consumption Patterns of Chinese Children

In the ten-year period from 1990 to 1999, children's consumption has increased dramatically in proportion to family income. In 85% of urban families, children's average consumption is equal to one third or more of the family's income. Resources are being directed to children's food and dietary supplements, toys, travel, computers and other electronic equipment, and educational resources. Children perceive that they have a significant influence on the family's financial decision-making. Problems related to children's consumption include indulgence in unnecessary or harmful purchases, and conspicuous consumption that cannot be sustained by the family's income. While some child-focused spending is viewed as enriching development, other expenditures may harm the family's economic well-being and foster an overly materialistic outlook among children.     

试述台湾少年团在抗战中的宣传活动

1937年开始的抗日战争是中华民族抗击日本侵略的战争。大陆的中华儿女和海外炎黄子孙,包括广大的台港澳同胞都参加了抗战。他们当中,不仅有青壮年,还有老人和儿童。台湾少年团只是活跃在祖国抗日战场上的千万个儿童抗日团体之一,但其抗日活动有鲜明的特点。本文拟通过对台湾少年团在抗战中的宣传鼓动活动的考述,突出台湾少年为民族解放战争作出的贡献,再现其爱国精神和期盼祖国统一的心愿。     

5次交错群A_5的10阶子群的一个构造方法

A5的元最大阶数是5,使用有限群的Lagrange定理,A5的10阶子群元的阶只可能是2,5。但由于拉格朗日定理的逆不成立,因此是否存在A5的10阶子群仍是问题。该文通过对5-循环置换各次方幂的计算及其研究,找到A5的10阶子群元的构成规律,并使用构造性方法给出了5次交错群A5的6个10阶子群。     

一类非线性波动方程的新精确解

利用李群对称方法,通过构造变换不变量,将一类1 1维非线性波动方程化为常微分方程,得到了这一类非线性波动方程的一些新的显式精确解,包括孤子解、三角函数解和椭圆函数周期解。