三向量

The paper consists of three parts. First, we give the calculation for every order central moment for the Logistic population, mean vector and covariance matrix of the order statistic of random sample from the Logistic population, and means of several special functions for the order statistic of random sample from the Logistic population. Secondly, we discuss the parameter estimation for the Logistic population. Finally, we solve the question about the goodness-of -fit test for the Logistic population.

研究的主要内容分三部分：第一部分是关于Logistic总体各阶中心矩、样本次序统计量期望向量与协方差阵及若干个特殊的样本次序统计量函数期望的计算问题；第二部分是关于Logistic总体分布参数的估计问题；第三部分是关于Logistic总体的拟合优度检验问题。

In this thesis, we implement a computational procedure to categorize and classify 3-D objects from their contour under a simple environment. First, we use foreground detection, Canny edge detection and speedy GVF snake to obtain the object's contour. The contour is then used to establish the object's features. Two databases are built using methods which compute similarity by modified aspect-combination algorithm proposed by Cyr and Kimia and new proposed aspect-combination algorithm. By using these two databases, we recognize 3-D objects using four recognition methods and compare their performance. Finally, a conclusion is made that our newly proposed algorithm is better than the modified algorithm proposed by Cyr and Kimia.

在本论文中，对一个在单纯环境下的三维物体，由撷取到辨识出此物体做了一个完整的实现，首先，利用前景侦测结合肯尼边缘侦测法和加速的梯度向量流动态轮廓侦测法，来得到物体轮廓，接著利用此轮廓找寻出物体的特徵，然后配合计算相似度的方法，代入修改后的Cyr and Kimia的外观结合演算法（aspect-combination algorithm）和新提出的外观结合演算法去建资料库，然后，对於三维物体则依据两种不同方法所建出的资料库，利用四种辨识的方法来辨识并比较其结果，最后得出新提出的外观结合演算法是优於修改后的Cyr and Kimia的外观结合演算法的结论。

First, we extract the boundaries between two different materials by weighting with gray-level gradient,and only voxels on these boundaries participate in the generation of each image, so it drastically reduces the rendering time. Second. We think the voxels on boundaries as the mixture of different materials,so in every voxel there is a surface. We use the oriented cube-interpolation technique to get the intersection point of viewing orientation and the surface in the voxel, then compute the surface normal of the intersection point. We use the normal to shade the voxel in order to improve the image quality.

首先，采用灰度梯度加权提取出三维数据场中不同物质间的边界，根据显示的需要只对这些边界上的体元赋予相应的阻光度并进行光亮度合成计算，因而可大大减少计算量，提高显示的速度；将边界上的体元作为不同物质的混合体，采用与方向有关的三线性插值来计算视线方向与体素内等值面的交点，根据交点的法向量进行光照效应计算以提高显示图像的质量；最后用投影成像法显示最终的图像。

In the first section,the existence of solution for a class of non-linear systems with three -point boundary problem is obtained by applying the differential inequality theory .

在第一部分中，我们应用微分不等式理论证明了一类非线性系统三点边值问题解的存在性；在第二部分中，运用微分不等式理论研究了一类带有转向点的拟线性奇摄动边值问题的非单调内层解；在第三部分中，利用对角化方法研究了一类向量二点或者三点边值问题解的存在性，并获得解及它的一、二阶导数的渐近估计。

Depending on the axis being spacelike, timelike or null, there are three types of screw motions, the third case, i.e., cubic screw motion, is most particular because it is not a rotation together with a translation along the null axis, but a rotation together with a translation along a null curve with non-zero curvature.

依据旋转轴的向量类型，三维Minkowski空间中的螺旋运动可分为三类，其中第三类螺旋运动，即三次螺旋运动，是最特殊的。

Cubic non-uniform trigonometric polynomial curves with multiple shape parameters are presented in this paper. They are C^2-continuous for a non-multiple knot vector and C^3-continuous for a uniform knot vector respectively. The ellipses can also be represented by them.

对于非均匀节点向量给出了一类带多个形状参数的三次三角多项式曲线，这类曲线具有三次多项式B样条的许多重要性质：对非重节点为C^2-连续，对均匀节点则为C^3-连续，能直接表示椭圆。

This approach first aligned 3D faces based on non-uniform mesh re-sampling which result the uniform number of vertex and topology structure and kept in a vector. Second, we changed the vector to the matrix by division and overlap, and then 2DLDA suggests a feature selection strategy to select the most discriminative features from the corner.

该算法首先使用基于非均匀网格重采样的方法对所有三维人脸做规格化处理，使三维人脸具有统一的点数和拓扑结构；其次，以先分段、再重叠的形式将原本一维向量表示组织为二维矩阵表示，然后使用二维线性判别分析方法(2DLDA)对获得的数据进行特征抽取。

A warp skeleton method was proposed to solve the descriptive issue of arbit rary 3D woven composite architecture , with the unit cell being decomposed into subcells/ grids. The subcell vector concept was int roduced to digitalize the 3D architecture , in order to use the 2D database table to store it .

利用经纱脉络描述法解决了任意三维机织复合材料的结构表征问题；提出了单胞分解法与亚胞向量概念，实现了三维结构的二维化、数字化，根据数字表征结果和经典截面假设构造了初始断裂模型；使用一种迭代算法对初始断裂模型进行优化，使纱线束逐步逼近真实形态，进而实现三维实体造型，在此基础上进行网格剖分。

The stereo image pair is acquired by a pair of calibrated cameras. Global disparity of foot is estimated at first. After the image pair is preprocessed automatically, using non-contact information-collecting technique and phase-correlation method, which is based on complex wavelet, surface matching with sub-pixel accuracy in the frequency domain is carried out. By taking order matching constraint, continuity constraint and correlation constraint together, 3D point cloud of foot is reconstructed and 3D model of foot is built by mosaicking point cloud at various angles automatically. After normalization, high-order moments are compared, which is useful for the subsequent shoe last design.

运用已标定的双目照相机拍摄立体图像对，进行足部整体视差估计；在对立体图像对进行自动预处理后，采用非接触式的信息采集技术，运用基于复小波的相位相关技术对足部表面进行亚像素级小区域频域匹配，考虑顺序匹配约束、连续性约束和相关性约束条件，重建足部密集三维点云信息，并自动拼接不同角度点云生成相应的足部三维模型；对其归一化后，提取其高阶矩向量进行比对，为后续的三维鞋楦设计提供必要信息。

The main contents are as follows: In chapter 1, systematic conclusions of intension and characteristic of sustainabledevelopment of real estate industry are made after the review of home and foreign research achievements; Chapter 2 analyzes status quo and trait of Chinese real estate industry in 2005, from views of investment, exploitation and sale, three parts of real estate industry, with the help of massive graphs, as well as elaborates main problems existing in real estate market; In chapter 3, the gambling thought is used to divide the developing process of Chinese real estate market into three phases, according to the change of main market participators and their behaviors; Finally, in chapter 4 and 5, a system with 72 indices in research on sustainable development of real estate industry in china is established, and theories of Catastrophe, Cosines Vector Included Angle, Entropy and CRITIC are applied to appraise the current situation of sustainable development of real estate industry in 31 provinces and cities in 2004, then the consistency test of appraisal results is carried out by Kendalls Coefficient of Concordance and Spearman Correlation Coefficient.

本文的主要内容如下：第一章在查阅大量国内外有关可持续发展理论、房地产业有关研究文献的基础上，评介了有关理论概念，并对房地产业可持续发展的内涵进行归纳、总结；第二章从房地产投资、开发和销售三个环节入手，结合大量图表，分析2005年中国房地产业的发展状况和特点，揭示我国房地产市场存在的主要问题；第三章利用博弈思想，根据市场参与主体及其行为的变化，将中国房地产市场的发展过程分为三个阶段；第四、五章构建了一个由72个指标构成的房地业可持续发展指标体系，利用突变评判法、向量夹角余弦法、熵值法和CRITIC法对2004年全国31个省市的房地产业可持续发展状况进行评价，并运用肯德尔和谐系数和斯皮尔曼等级相关系数对评价结果进行一致性检验。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。