向量函数

On the basis of constructing normalization vector space with single d irection, defined and induced six TOPSIS functions, proved that these six functi ons are valuation functions.

在构建单向规范化向量空间的基础上，定义并归纳了6种TOP SIS函数，证明了这6种函数都是价值函数。

In chapter two, under the assumption that the set of decision variables is convex and the objective functions are concave, it is shown that the set of noninferior solutions in valued space of the objective functions turns out to be a strictly decreasing, concave and no chinky block of surface, and it can be constructed recursively.

在第2章凸性假设下非劣解集的构造及其几何性质中，在假设决策变量集为凸集，目标函数向量是凹的情况下，证明了目标函数向量值空间中的非劣解集是一严格单调递减，无缝隙且凹的曲面块，并给出了m维目标函数向量值空间中非劣解集的一种递归构造方式。

The paper studies the form of the result of SVM with covariance function as the kernel function under some conditions, and draws the conclusion that Kriging is equivalent to SVM under those conditions. Based on the conclusion, we put forward the idea of using the covariance function as a substitute for the RBF kernel function of SVM.

摘要研究了支持向量机(support vector machine，SVM)方法在一定假设条件下，核函数取为样本协方差函数时解的具体形式，得出了在该假设情况下SVM方法等价于克立格方法的结论，提出了用协方差函数作为SVM核函数的思想。

This curriculum primary coverage includes: Function and limit, a circular function derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral, definite integral application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral, curvilinear integral and surface integral, infinite series, differential equation.

该课程的主要内容有：函数与极限，一元函数的导数与微分，中值定理与导数的应用，不定积分，定积分，定积分的应用，空间解析几何和向量代数，多元函数微分法及其应用，重积分，曲线积分与曲面积分，无穷级数，微分方程。

By level function,ε-subdifferential, normal cone and dual function, global optimal solutions for a convex function in locally convex topological vector space and a few of equivalent forms on it are obtained. Maximum points are characterized.

讨论局部凸拓扑向量空间中凸函数的全局最优解，用水平函数、ε-次微分及法向锥和共轭函数等工具刻画其最大值点，得到最优解的几个等价形式。

About the title of statistic of planar vector, probability, its solve problem process to permeating function form not only, and still permeating function thought; again criterion the tool that derivative is research function, had derivative, function content more appear profundity, rich and colorful.

有关平面向量、概率统计的题目，其解题过程不仅渗透着函数形式，而且还渗透着函数思想；再则导数是探究函数的工具，有了导数，函数内容就更显得深刻、丰富多彩。

Fuzzy support vector machine was applied to solve the unclassifiable problem existing in multi-class recognition by conventional SVM.

针对这种情况，在传统支持向量机中引入模糊隶属度函数，用模糊支持向量机解决了传统支持向量机在多类识别中的盲区问题。

The TST was applied to multi-scaling vector to increase it's approximation order, and with PR condition, the dual of transformed multi-scaling vector was obtained. Then the special TST was taken for this dual, the dual of original multi-scaling vector with higher approximation order obtained, finally the multi-wavelet function with higher vanishing moment maybe constructed.

我们先对已知的尺度向量进行双尺度相似变换，以提高其逼近阶，再求出变换后的尺度向量的对偶，对这个对偶再进行特定的双尺度相似变换，就可得到原尺度向量的有高逼近阶的对偶，从而可能得到具有高阶消失矩的多小波函数。

This method uses what Professor Salton has proposed as the vector spacial model to express text as an invisible vector in hyperspherical space.It makes use of certain pre-disposal methods (reduce the dimensions,clustering thesaurus,filtering out old-fashioned words) to reduce the dimensions.It usescosines to measure the degree of similaritybetween texts and uses the total similarity as the target convergence vector.It produces clustered results by using restricted iteratives to achieve partial perfection.

该算法用Salton教授提出的向量空间模型把文本表示成不可视的超球向量空间的一个向量，采用一定的预处理手段(降维、同义词归并、停用词过滤)完成维数约减，使用余弦相似度度量文本之间的相似度，并选择总凝聚度作为目标收敛函数，通过有限次的迭代达到局部最优，输出聚类结果。

We introduce an accurate online-learning support vector machine algorithm, including incremental and decremental algorithm, which efficiently updates a trained regression function whenever a sample is added to or removed from the training set.

本文充分利用支撑向量机解的稀疏性并结合KKT条件，当向训练样本集中添加新样本时，调用&递增&算法修改原有回归函数来得到新回归函数；当从训练样本集中剔除旧样本时，调用&递减&算法修改原有回归函数得到新回归函数，即在线学习方法。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。