向量和

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。

By the analyses of different person and the same person with different expression and gesture, the number of principal component vector is determined properly under the attention to divisibility and workload.

首先对不同人以及同一个人的人脸图像进行主成分变换，然后根据得到的人脸图像类内及类间距离数值的变化结果，在充分考虑到其可分性和计算工作量的前提下，选择适当的主成分变换向量的个数并进行人脸图像的特征提取。

Based on the oil-water flow rate and density obtained with a double-U Coriolis flow meter, and by the help of Support Vector Machine, a direct prediction method of the oil-water respective mass flow rate was developed to avoid the need of study on the complex relation between the slip velocity, water hold up and water fraction.

以双U型Coriolis流量计得到的油水混合物的质量流量和密度为基础，提出了基于支持向量机油水分相质量流量的直接预测方法，避开了直接对滑脱速度、持水率与含水率等之间复杂关系的研究。

Considering the complex influence factors for the failure of drill stem,an analytic model for failure of drill stem based on support vector machine and cluster analysis theory was established.

针对钻具失效影响因素比较复杂的问题，建立了基于支持向量机和聚类分析理论的钻具失效原因分析模型。

New concepts of the all phase Walsh biorthogonal transform and the dual biorthogonal base vectors were proposed.Based on this transform,a new image compression algorithm was introduced.

本文提出了全相位沃尔什双正交变换和对偶双正交基向量的新概念，并提出了一种基于这种变换的、新的图像压缩算法。

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。

Relationship between the dual form and primal form of solution based on SVM method in a frameable reproducing kernel Hilbert space is studied.

在基于标架型的再生核希尔伯特空间中，研究了SVM算法下，解的对偶形式和原形式之间的关系，进而将SVM算法与最小二乘法相结合，讨论了支持向量机的半参数估计。

By Lagrange dual and scalarization of vector optimization, characterizations of solutions for which objective mapping satisfies weak convexity conditions are shown. The strongly and weak dual theorems for generalized subconvex-like mapping are obtained.

通过适当定义对偶问题和向量优化问题的标量化研究各解之间的关系，刻画目标映射满足弱凸性条件的优化问题解的特征，在目标映射是广义锥次类凸的条件下给出有关的对偶定理。

Finally, conducted the experiment, the results of which indicate this algorithm is not only with similar features to v-SVR, but also its dual problem is very simple, so can be used to design incremental learning algorithm

最后实验表明支持向量机在交通系统中应用的可行性和有效性，并具有广阔的前景。

Furthermore, the proof of correctness of CalcCycleTime is also the proof of the existence of cycle time, the existence of generalized eigenvectors, and the duality theorem.

本论文中给出的CalcCycleTime算法的正确性证明同时是周时存在性、广义特征向量存在性和对偶定理的证明。

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。