A simple method for selecting the transform matrix which preserve the above property of multi - scaling vector was presented . with the dilation property of the fractal interpolation function , one multi - scaling vector and it ' s refinement equation was presented 给出了r = 2时，能够保持尺度向量上述特性的变换矩阵的一个简单选取方法，并且利用分形插值函数的伸缩特性，给出了一个尺度向量并推导了其满足的加细方程。
In third chapter , we study the relation of the expansion of a space ' s scattered partition and the open refinement of open sets in it . we give the sufficient conditions for a space having the property that its every scattered partition has a open expansion of a given property 第三章详细证明一个空间中的开集族的开加细与空间的散射分解的开膨胀之间的关系，给出了空间的散射分解具有某种性质的开膨胀的充要条件。
Based on the samples of the english majors of the third and fourth year , this paper intends to distinguish communicative knowledge from cultural knowledge in the process of cross - cultural activities by means of probing into vocabulary and daily activities concerning english and chinese so as to facilitate cross - cultural communication and make them alert to the cultural sensitivity 摘要本文以跨文化交际理论为基础，通过对汉英语言词汇层面和日常生活话语交际活动的分析，阐明大学英语专业学生在初步掌握语言技能的情况下进行跨文化交际时产生障碍的原因，并且指出在实际教学中应该对知识文化和交际文化区别对待，打破传统的将文化不加细分一概传授的做法，以期能提高人们在面对不同文化时的敏感性并能更好地进行话语交际活动。
Given china " s legislative mode that mixes substantive rules with conflict rules , it ' s feasible to solve the choice - of - law problems concerning consumer contracts in a comprehensive way that combines both of these two types of rules . however , in the long run china shall improve its conflict rules concerning consumer contracts with reference to the internationally accepted maturer legislation 鉴于这种现状以及我国对实体规范和冲突规范不加细分的立法模式，目前在司法实践中宜综合运用实体规范和冲突规范来解决涉外消费者合同的法律适用问题，在有关实体规范中寻找规制当事人意思自治原则和最密切联系原则的立法资源。
And about a given property p which satisfies some conditions , we give a condition for the open sets in the tychnoff product of two spaces which have a open refinement having the property p . the last chapter obtains a result about the limit of the inverse system of a normal mesocompact space and a hereditar ily normal and hereditarily mesocompact space 而且给出了，对满足一定条件的某种性质p ，两个空间的乘积中的每个开集族有p性质的开加细的一个充分条件。第四章详细证明了关于正规中紧空间及遗传正规且遗传中紧空间的逆极限的一个结果。
