集合

The fuzzy set theory is a rapidly growing branch of applied mathematics whereas the Boolean-valued model is a nonstandard model of the axiomatic set theory.

在文献[1]中我们曾引进正规弗晰集合结构的概念，这种正规弗晰集合结构是对弗晰集合论的一种本质的刻划与推广；在文献[1]中还证明了任一正规弗晰集合结构都是带本元的集合论公理系统ZFa的一个布尔值模型。

Through the analysis of the second power Cartesian product of natural number set N——N×N and the thirdpower Cartesian product of natural number set N——N×N×N,obtains the conclusion that they all have the bijective relation to natural number set N,it means that the set N×N and the set N×N×N are all countably infinite.

通过对自然数集合N的二次笛卡尔积运算———N×N和三次笛卡尔积运算———N×N×N的详细分析，得出了它们与自然数集合N之间都存在双射关系结论，即集合N×N和集合N×N×N都是可数无穷的。

The main achievements of this dissertation are as follows: Let W be a nonsingular matrix. 1. Problem I and Problem II are considered under the matrix set S is as the following: 1 the set of real W-symmetrizable matrices; 2 the set of real W-symmetrizable nonnegative definite matrices; 3 the set of real W-symmetrizable matrices on the linear manifold.

对于问题I和问题II，本文就S是W可对称化矩阵集合、W可对称非负定化矩阵集合以及线性流形上W可对称化矩阵集合等三种情况进行了研究，分别给出了这三种情况下问题I的解存在的充分必要条件，以及解集合的通式表达式，给出了这三种情况下的最佳逼近解，并提供了相应的数值算法和数值实例。

The results obtained in the thesis are as follows: Firstly, the thesis proves that the inner measure and outer measure which defined by Fagin and Halpern are a kind of random sets, generalizes the concept of random sets to Boolean algebra's, and hence establishes the theory of the generalization of random sets.

本文的主要结果如下：①本文证明了Fagin和Halpern提出的内、外测度可表示为一种随机集合，并把随机集合的概念从幂集合推广到了布尔代数上，从而提出了广义随机集合理论。

A basic fact about sets is that there are two sets only when their memberships differ. The membership of the set of things that are phlogiston is exactly the same as the membership of the set of things that are Devil-dealing Salem witches. In each case, there are none. So in each case the set of instances is the set with no members, the null set.

按集合观，不承认这里有不同的共相，因为基础事实是，两个集合不同当且仅当成员不同，而这两个集合是相同的，因为都是没有成员的集合，即空集。

The symmetric difference update operation returns a set whose members are either elements of the original or other set but not both.

对称差分更新操作返回一个集合，该集合中的成员仅是原集合或仅是另一集合中元素中的成员。

In the present paper, the Properties of the symmetric difference of the sets are systematically researched, the essence of the symmetric difference of the several sets is revealed in terms of disjoint resolution of the set, the formula of the measure calculation with respect to the symmetric difference of the several sets is given.

本文深入地对集合的对称差进行讨论，研究了它的性质，通过集合的不交分解揭示了若干个集合的对称差的本质，给出了关于集合的对称差的测度计算公式。徐州师范大学！徐州；221009；中国矿业大学北京校区！北京；100083

In this paper,we propose a new vers ion-control set refreshing algorithm,which adopts the mechanisms of incre mental maintenance,version control and batch processing to ensure on-line maint e nance and consistency.

本文提出了一种版本控制集合刷新算法VSRA，它采用增量维护和批处理思想，首先根据原始数据的变化集合，计算出实体化视图的刷新集合，然后据此集合刷新实体化视图，同时利用版本控制保持数据仓库与当前数据库状态的一致性，达到对数据仓库联机维护的目的。

Li Zimu,Xu Ming and Zhou Xingming（School of Computer Science,National University of Def ense Technology）Abstract: In this paper,we propose a new vers ion-control set refreshing algorithm,which adopts the mechanisms of incre mental maintenance,version control and batch processing to ensure on-line maint e nance and consistency.

本文提出了一种版本控制集合刷新算法VSRA，它采用增量维护和批处理思想，首先根据原始数据的变化集合，计算出实体化视图的刷新集合，然后据此集合刷新实体化视图，同时利用版本控制保持数据仓库与当前数据库状态的一致性，达到对数据仓库联机维护的目的。

This invention relates to a method for inviting users on-line used in conference services including: 1, in a process of setting up conversation between a first user device and a second user device, the first one gets the route set for transmitting signaling when having conversation between them and registers it, 2, the first device transmits a request to the second device with a new conversation ID to a service device to ask the second device to take part in the meeting, when the route set is not empty, the first device adds the registered route set to the route set of the request, 3, the service device and the second user device are connected for the conversation.

根据本发明的用于会议业务的在线用户邀请方法包括以下步骤：步骤S302，在第一用户设备与第二用户设备建立会话的过程中，第一用户设备从传输的消息获取第一用户设备和第二用户设备进行会话时传送信令的路由集合并记录路由集合；步骤S304，第一用户设备以新会话标识向会议业务服务设备发送对第二用户设备的请求消息以请求第二用户设备加入会议，在路由集合非空的情况下，第一用户设备将所记录的路由集合加入到请求消息的路由集合中；步骤S306，会议业务服务设备与第二用户设备进行会话连接。

On closer examination, though, this is not a vote for multilateralism but just the opposite.

仔细审视后我们发现，这并非是对多边主义投出的赞成票，而是恰好相反。

Uncovering their weak spots, so I can defeat them.

揭露出他们的弱点，这样我就可以打败他们了。