可分集

In chapter three, we prove that there exist solutions to the Ky Fan variation inequality, as the set-valued mappings are defined on spheres in infinite dimensional Banach spaces or odd dimensional Euclidean spaces, following from these theorems, we obtain some fixed point theorems for set-valued mappings defined on a sphere. When G is an approximate compact convex subset of E, or G is a almost quasi-convex set-valued mapping, we prove that there exist solutions to and type generalized Ky Fan variation inequality, following these theorems, we prove several best approximation theorems and coincidence theorems involving two set-valued mappings and two different spaces. In chapter four, we first present a new Simplicial algorithm for computing the Leray - Schauder fixed points, the algorithm can solve the set-valued nonlinear complementarily problem. We give a condition to guarantee the computation proceeding in a bounded region. We present integer-labeling algorithms for computing fixed points of some set-valued mappings, the best approximation points and solutions to a kind of set-valued variation inequalities.

第四章给出了计算定义在非凸集上的非自映射的Leray-Schauder不动点的算法，而现有的不动点算法都是计算凸集的上半连续集值自映射的不动点；给出了保证计算有界的一个充分条件，我们的条件大大弱于Mdrrill条件，我们的算法也可用来计算Eaves不动点；给出了集值非线性互补问题存在解的一个充分条件，此时可利用Leray-Schauder不动点算法来求解；向量标号算法以往是计算集值映射不动点的唯一有效算法，我们给出用整数标号算法计算一类集值映射的Kakutani 不动点的算法；定义在紧凸集上的连续映射不一定有不动点，但一定有最近点，最近点是不动点概念的推广，我们给出了计算最近点的算法；集值映射变分不等式尚无有效的求解算法，我们给出求解一类集值映射变分不等式的算法。

From theoretical aspect, our method can make the entropy value of sort results decrease, and the divisibility of optimal set of discriminant vectors strengthen.

理论上的分析和实验结果表明，这种方法可以使熵值减小，即分类结果的可分性增加，并且最佳鉴别向量集的分离能力得到增强，提高了分类效果。

In section four, we consider a normal π-subgroup in π-separable group, a normal set and a complex value class function space defined on G, using the B_π-character theory and character-triple isomorphism, and find a classical basis of this space such that it behaves as the set of irreducible Brauer characters, and satisfies the Fong-Swan property.

在第四节中我们考虑了π-可分群G中的一个正规π-子群，以及定义在G上的一个正规集和它上面的一个复值类函数空间，利用B_π-特征标理论和特征三元组同构，我们找到了这个空间的一个经典基，使得这个基具有类似于不可约Brauer特征标的集合的性质，并且满足Fong-Swan性质。

So the knowledge in global knowledge base and local knowledge base can be updated efficiently.

该算法的特点是可同时挖掘出全局频繁项集和局部频繁项集，从而可更新网络主管理者的全局知识库和网络分管理者的局部知识库，并通过数值试验证明了算法的有效性。

179Banach Algebra Techniques in Operator Theory, Ronald G. Douglas180 A Course on Borel Sets, S.M.

Borel集是集合论和逻辑学的重要概念，本书介绍完备可分的测度空间的Borel子集，内容从基本的集合论概念到描述集合论的公开问题。

In the framework of separable locally convex metric spaces, we give scalarization theorems on Benson proper efficiency and study Benson proper efficient solutions of vector optimization problems involving nearly subconvexlike set-valued maps.

中文摘要：本文在可分局部凸距离空间的框架下，给出了Benson真有效点的标量化定理，并研究了几乎次类凸集值映射向量优化问题的Benson真有效解。

The better the separability of data set, the higher the classification accuracy.

数据集的可分性好，就容易获得高的分类精度。

Among these factors, class separability represents the nature of data set and decides the optimal performance of classifier.

其中类别可分性代表了数据集的自然特性并决定了分类器能够获得的最优性能。

The mega crystal of Fluorphlogopite Mica produced by the company is the only domestic product, which is good at heat-resistant, anticorrosive with low loss of high frequency medium, high body resistivity, good photopenetrativity, transparence, divestivity, elasticity, unaging, infragility, etc, and mainly applied in the environment of high frequency medium, high temperature vacuum, strong acid and alkali substituting for polyquadrifluorethene, crude mica and quartz glass and other materials.

所研制的氟晶云母大晶体在国内属唯一产品，该产品是一种集耐高温、抗腐蚀、高频介质损耗低、体电阻率高、光波透过率极佳等优点于一身的新材料，并具有透明、可分剥和富有弹性、不老化、不易碎等特性。

By applying higher scale factors to downlink channel responses corresponding to reliable FBI detection, better closed transmit diversity performance during soft handovers may be achieved.

通过将较高的比例因子应用到与可靠的反馈信息检测相对应的下行链路信道响应，可在软切换期间实现更好的闭环发送分集性能。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。