等价关系

Firstly, the characteristic of the SV is analyzed, and the equivalence of the SV set and the training set is pointed out.

首先分析了支持向量的特点，指出了支持向量集和训练样本集之间的等价关系。

Besides,ten er- rors in the minimal primitive root table of ime number were ointed out.

证明了奇素数 p 的原根与 P~1的原根、p~1的原根与2p~1的原根之间的等价关系，并指出了素数最小原根表中的十处错误

Through deducing the representation of the nonlinearity part of the symmetric cipher in Boolean function, the equivalence between symmetric cipher design and Boolean function is verified.

通过推导分组密码的非线性部分的布尔函数表达式，验证了对称加密设计与布尔函数构造之间的等价关系。

Satellite ; Layout ; Optimization Algorithm ; Symmetric Group ; Equivalent Relation ; Isomorphism.

人造卫星；布局；最优化算法；对称群；等价关系；同构

During the study of incidence calculus theory, we firstly clarified original incidence calculus and the probabilistic reasoning mechanism on it. We then introduced the improvement of generalized incidence calculus theory proposed by Liu~[18], which establishes incidence calculus theory on Lukasiewiczs three valued logic.

本文首先阐述了原始的发生率计算理论及其上的概率推理机制，然后引入Liu对该理论的改进，以Lukasiewicz三值逻辑为基础，并提出了这个扩展的理论与证据理论之间的等价关系。

This paper briefs the basic principles of " transitive closure " cluster analysis based on fuzzy equivalent relation and fuzzy ISODATA cluster analysis based on soft division technique, and advances a classification and recognition method by combining K-L transformation and the two fuzzy cluster methods above, which makes full use of the advantages of both cluster methods.

介绍了基于模糊等价关系的"传递包"聚类和基于软划分的模糊ISODATA聚类2种模糊聚类分析方法的基本原理，充分利用2种方法的优点，提出了一种将K-L变换与上述2种模糊聚类方法相结合的分类识别方法。

of transitive closure based on equivalence relation, method of maximum fuzzy spanning tree based on fuzzy graph, and algorithm Fuzzy C-Means based on partition are more deeply investigated. Respectively, this thesis proposes an algorithm for document fuzzy clustering based on methed of transitive closure and an algorithm for document fuzzy clustering based on methed of maximum fuzzy spanning tree. Moreover, FCM is particularly studied from data standardization method, metrics method, and selection method of initial clustering prototype.

较深入地讨论了基于等价关系的传递闭包法、基于模糊图论的最大树法以及基于划分的模糊C-均值算法，分别提出了基于传递闭包法的文本模糊聚类方法ATCFC和基于最大树法的文本模糊聚类方法ATCMT；重点从改变规格化方式、改变度量方式、改变初始聚类原型选择方式三方面对FCM算法进行研究。

Symmetry, transitivity, equivalence relations; sets Venn diagrams, complements, Cartesian

对称性，及物性，等价关系；集合(Venn图，补全，笛卡儿积，幂集)；分类原理；基数和可数性

Bulajich and other scholars studied versal unfoldings of relative maps with relative strong-A equivalence.

Bulajich等学者建立了一种条件较强的相对A等价关系，研究相对映射芽的通用开折的性质。

The dissertation includes:◆General research of canonic VSC The contents are following: the cause and eliminating approach of chattering; Invariance property; the relation between VSC and high-gain linear feedback control.

讨论了产生不变性的条件；揭示了VSC与大增益线性反馈控制的等价关系；提出了用切换面邻域内的稳定性来分析抖动起因的方法。◆研究了不确定系统的VSC设计分别针对满足匹配条件但集总不确定部分上界不确知、不满足匹配条件但满足广义匹配条件、不满足广义匹配条件等情况，研究了其VSC设计问题。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。