向量

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。

The KPLS formulae in the form of dual optimization were deduced,which had the style of least squares support vector machine.

推导了KPLS对偶优化形式的公式，且使其具有最小二乘支持向量机的风格。

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。

There are several methods for the kinematic analysis of mechanisms such as Vector algebra method, Dual number method, and Matrix method.

一般分析机构的运动，有多种方法可以使用，如向量法、矩阵法或双数法等。

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。

Extended the semi-analytical finite element method into the Dugdale model of elastic-plastic fracture mechanics, the analytical elements based on the Dugdale model of mode Ⅰ and mode Ⅱ crack are constructed. The formulas for the stiffness matrices and load vectors of analytical elements are deduced.

将上面的半解析有限元法应用于弹塑性断裂力学中的Dugdale模型，分别构造了基于Ⅰ型和Ⅱ型Dugdale模型的裂纹解析元，并建立了解析单元的出口刚度阵和荷载向量的列式。

Utilizing plane sectorial domain Hamilton system function via variable substitutes and eigenfunction expansion method, an analytical element is proposed in this paper for the crack analysis of reinforced concrete structures combining the bridging model and Dugdale model. Combined with finite element, nolinear crack problems of reinforced concrete structure can be analyzed.

利用平面扇形域哈密顿体系方程，通过分离变量法及共轭辛本征函数向量展开法，结合Dugdale模型和桥联力模型，推导了钢筋混凝土结构裂纹尖端的解析元列式，将此解析元与普通有限元结合，可用于分析钢筋混凝土的非线性断裂问题。

In addition, several sets of multi-layered codebooks and the quantization technique with dynamic bit allocation are adopted.

该算法还采用了多套多层结构的码书和动态位分配的向量量化技术。

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。