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Firstly, we recall some notions and results about space theory, including Hausdorff space, Hausdorff distance between sets , Baires category about sets and convex set. Secondly, the semi-continuity, closure, compactness of set-valued maps are introduced in set-valued analysis. Finally, essential point, essential set and essential component are introduced.

其中，空间理论及凸集的基本知识介绍了Hausdorff空间、集合间的Hausdorff距离、集合的Baire分类、以及凸集等四个方面；集值分析部分主要介绍单值映射的半连续性以及集值映射的半连续性、闭性和紧性；本质点、本质集和本质连通区部分主要介绍了本质点、本质集和本质连通区等有关概念和性质。

Secondly, the author has set up the Factor Set, Factor Weight Set, Evaluation Set and Evaluation Matrix based on the Fuzzy Mathematics, therefore the quantification of expert's experiences is solved. Following the example of product design procedure consisting of designing, collating and checking, the Two-stage Fuzzy Synthetic Evaluation has been established in order to supply the evaluating method of design quality for drawing die-face. After two times of eligible analysis above, the synthetic optimizing design of geometry, material and process can be done with simulation.

以模糊数学为基础，通过确定影响覆盖件拉延模型面设计的因素集、因素权重集、备择集和评判矩阵，解决了专家设计经验知识的量化问题，并建立二级模糊综合评判方法，据此设计、校对、审核等技术人员可以共同对拉延模型面设计质量进行优劣评判和修改；在前面二次分析合格的基础上，利用有限元仿真技术进行几何、材料、工艺多因素综合的优化设计。

Founded in 1993, Hangzhou Mingzhu Tools Co., Ltd. is a specialized manufacturer and exporter of brad point wood working drill, combination drill set, rotary tool and accessory set, wall plug set and other injection mold set.

W2G77 杭州明珠工具有限公司成立于1993年，是一家集生产和出口的专业公司，主要产品有三尖木工钻、钻头组套、电磨配件组套、膨胀管及其他相关注塑产品。

To analyze and compare the characters of Fuzzy c-Means clustering and artificial immune network aiNet clustering, conclude that Fuzzy c-Means clustering does not work well if the underlying classes or clusters deviate strongly from hyperspherical structures, aiNet is capable of reducing redundancy, describing data structure, including the shape of clusters by experiments on relatively gathering data set, scattering data set, annular data set and corkscrew data set.

分析比较了模糊C 均值聚类算法FCM 和人工免疫网络aiNet 聚类算法的特性，通过它们对相对集中数据、稀疏分散数据、环状和螺旋分布数据聚类来进行比较，得到当遇到潜在的类或簇背离超球面结构时，FCM 算法表现不佳，而aiNet 可以很好的发现数据的内在特征，减少数据中的冗余、描述数据结构和聚类形状，表现良好的适应性。

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。

The set of all test samples for this present system is eight piece of pictures enlarged recording information about numeral.the set includes set of standard print digits and the same category but different size numeral and handwritten numeral and set of geometrical shapes etc.

系统中测试样本共包含8张数字记录扫描扩大图片，其中有标准印刷体数字杂陈类型，同种类异尺度印刷体类型，不规则手写体类型，图形元件类型等。

In rough sets based on accessible relation, we merge rough set theory and accessible relation into one model. Compared with classical rough set models(including Pawlak rough set model and various precise rough set model), the new model is more general.

基于可达关系的粗糙集模型是将可达关系应用于粗糙集理论中，这种模型比传统的粗糙集模型(Pawlak模型和可变精度粗糙集模型)更一般，将粗糙集理论推广到一般的方法论。

Given a planar point set,the moving least squaremethod is adopted to denoise and resample it so that the resulting point set is with low noise and uniform sampling density.Then the reliable signed distance field of the preprocessed point set is constructed by using the Level Set method.Finally,an algebraic B-spline function is adopted to fit the signed distance field by solving a linear equation system.

首先给定一个表示封闭曲线、可能带有噪音且分布不均匀的平面点云，采用移动最小平方(moving least square，简称MLS)方法对点云去噪、重采样，得到一个低噪音、分布均匀的"线状"点云，再通过Level Set方法建立该"线状"点云的离散几何距离场，最后用一个代数B-样条函数光顺拟合该离散距离场，代数函数的零点集即为重建曲线。

We have introduced in [1] the concept of the normal fuzzy set structure which is a characterization and generalization of fuzzy set theory and we have proved that any one normal fuzzy set structure is a Boolean-valued model of the axiomatic set theory ZFa with urel...

本文是对文献[1]的一种阐明，详细地阐明了正规弗晰集合结构与弗晰集合论中的一些基本概念之间的联系与转换，同时引进了正规弗晰集合结构的序数、基数等基本概念。

We have introduced in [1] the concept of the normal fuzzy set structure which is a characterization and generalization of fuzzy set theory and we have proved that any one normal fuzzy set structure is a Boolean-valued model of the axiomatic set theory ZFa wit...

本文是对文献[1]的一种阐明，详细地阐明了正规弗晰集合结构与弗晰集合论中的一些基本概念之间的联系与转换，同时引进了正规弗晰集合结构的序数、基数等基本概念。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。