向量

Firstly, we characterize the strong no-arbitrage and weak no-arbitrage in terms of some convex programming problem.

首先利用一个凸规划刻画了无套利条件，并讨论了无套利条件与状态价格向量之间的关系。

In fact, the former only consider the strict convex programming, while the latter considers the convex programming.

支持向量机中有一类重要的变形方法，虽然很有效，但缺乏相应的统计学习理论基础。

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。

Under a convexity assumption, we show that the extended B-well-posedness is closely related to property.

在凸性假设下，我们研究了集值向量优化的广义B-适定性与-性质的紧密关系。

This paper proposed to use elliptical Gabor filter with least redundancy to convolute with palmprint,sub-bands with 4 scales and 6 directions are obtained,calculate the average and deviation of every sub-band,48D texture feature is extracted,and normalize the 48D feature in the whole database,finally use distance of absolute value to measure the difference between two feature vector.The result shows the arithmetic proposed by this paper has a little high retrieval accuracy.

本文采用最小冗余度的椭圆Gabor滤波器组对掌纹图像滤波，得到4个尺度6个方向的子带，计算每个子带的均值与方差，得到48维的纹理特征，在整个数据库中对48维特征进行归一化，最后采用绝对值距离衡量不同特征向量间的差异。

First, the paper introduces the moving coordinate system based on the curve tangent vector and the curvature component vectors. Next, the total curvature vector is composed and the osculating plane determined in the moving coordinate system. The curve bending is then calculated and the recursion analysis made on the osculating plane.

鉴于空间曲线上曲率采集面的变化，引入了由曲线切向量和曲率分量决定的运动坐标系，接着在运动坐标系中合成曲率矢量，确定密切平面，然后在密切平面中对曲线进行弯曲计算和运动坐标系的变换分析，并对相关公式进行了推导。

On the basis of the conclusion above, the nonlinear weak controllable vectors can be obtained, which compose the second class of weak controllable matrix, by means of matrix transfermations of the first class of weak controllable matrix. Furthmore the second criterion of weak controllability, accessibility and strong accessibility, which is more standard, more succinct and more practical, is obtained. On the basis of the first criterion and the second criterion, several important problems about nonlinear controllability are discussed, which include 1 local controllability; 2 three classes of local controllable decomposition, separately by means of local coordinate changes in the neighborhood of a nonsingular point, a point on a singular surface or a designated point x〓 with a designated input u〓; 3 the character of controllability of the ith state variable x〓 in different controllable areas and their boundaries.

在第一判别定理和第二判别定理的基础上，我们分析了非线性系统受控性质中的几个重要问题，所得到的结论包括i得到了非线性系统在可平衡点附近的能控性判别定理；ii分别给出了非线性系统在非奇异点、s阶奇面以及在状态空间内给定的一点x〓和输入u〓上的三种状态分解形式以及相应的求解方法；利用系统的Ⅰ型弱能控矩阵与Ⅱ型弱能控矩阵秩相等的条件，得到了只用系统的前n个弱能控向量来判断系统的弱能控性的判别定理；iii通过引入系统状态分量的三类受控区域边界的定义及相应的求解方法，初步探讨了非线性系统各个状态分量在不同的受控区域及其边界上的受控性质。

Plane coordinate system for the establishment, used to calculate the coordinates of simple calculations and their corresponding vector computing.

详细说明：用于建立平面坐标系，用于计算简单的坐标运算及其相应的向量运算。

According to the total strength of the external and internal environment, we create the coordinates of vector strategic plan, and find out that the current strength of the company is a strength one, andtake the differentiation strategy using external chance and the international strategy of national concentration optimized from the strategy set as the current strategy.

根据外部环境和内部环境总强度，构建了战略向量坐标图，确定公司战略为发展型，并从经营战略集中优选出公司当前经营战略为利用外部机会质量差异化战略和国家集中化国际战略。

So the first step is to compute two vectors coplanar to a face.

所以首先来计算面的两个共面的向量。

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。