类函数

This is my last OpenGL for a project to use the "three-dimensional vector space / point" and related functions, they can use a definition of space vector / points, for the vector translation, zooming and rotation, the use of correlation function can also achieve two vector by the fork, get a Vectors absolute length of a vector unit, received a 3:00 decision vector perpendicular to the plane, a space to be the distance between two points, two vector to be the plot points, to be the angle between two vectors, such as operating for the use of user-friendly, each function is detailed Notes, it is particularly important if the calculation vector plot points, fork also took note, we hope to have useful.

这是我过去进行一个OpenGL项目时使用到的"三维空间向量/点"类及相关函数，使用它们可以定义一个空间向量/点，实现向量的平移，缩放和旋转等，使用相关函数还可以实现两向量的叉乘，得到一个向量的绝对长度，将一个向量单位化，得到一个三点决定的平面的垂直向量，得到空间中两点的距离，得到两向量的点积，得到两向量的夹角等操作，为方便用户的使用，每个函数都有详细的注释，特别重要的向量计算如点积，叉乘还有相关说明，希望对大家有所用处。

Content: In this thesis, we investigate properties and coefficients maximum problem of some analytic functions in function theory, the research center is univalent function.

中文摘要：本文研究了函数论中几类解析函数族的性质和系数的最值问题，主要以单叶函数为研究对象，不仅对一些结果进行了推广，同时也获得了一些新结果。

Monotone functions; functions of bounded variation and Borel measures; absolute continuity; differentiation and integration; convex functions; semicontinuity; Borel sets; properties of the Cantor set.

单调函数；囿变函数；绝对连续性；微分和积分；凸函数；半连续性；博雷尔集类；康托集的性质

Xie-Beni index decreases with the number of partitions increasing. It is difficult to choose the optimal partition of data when the number of clusters is large. From the point of view of the compactness and the separation of clustering, a novel clustering validity function is proposed, which is based on the improved Huber Г statistic combined with the separation of clustering.

针对此问题，分别考察改进的Hubert Г统计量和聚类分离度，导出一个新的基于数据几何结构的聚类有效性函数，使得它有惟一的最大值，函数值随聚类个数增大而递减的趋势并不影响最优聚类个数的判定。

For this purpose, this paper presents a novel clustering algorithm for these mixed data sets by modifying the common cost function, trace of the within cluster dispersion matrix. The Genetic Algorithm is used to optimize the new cost function to obtain valid clustering result.

为此，该文提出了一种基于GA的模糊聚类新算法，通过改进聚类目标函数将数值特征与类属特征相结合，从而实现具有混合属性特征数据的聚类分析；通过引入GA算法能够快速得到全局最优解，而且不依赖于原型初始化。

By using the kernel function, the input space is mapped to a high dimension feature space where the data are expected to be more separable, the initial centroids in the feature space are selected by applying the KRA algorithm, and the large and small clusters are partitioned and the outliers can be split from the large clusters iteratively after the kk-means clustering. As a result, the audit data can be clustered better. Secondly, the closed sequential patterns mining algorithm CloSpan is improved according to the restrictions that is composed of the axis properties and reference properties.

该方法通过核函数把数据样本空间映射到一个高维的特征空间，使数据在新的空间中具有更好的可分离性；在特征空间采用KRA算法选取初始聚类中心，然后在核k-means聚类的基础上，划分出大簇小簇并在大簇中分离出异类再次进行核聚类，从而不断地优化聚类结果。

The closed-characteristic expression is proven to be of a A-class entire function and some related propositions are also given. Based on them a series of nathematic deviations are done, which brings an analytic expression between the controller parameters and the cost funtion as well as the restrictions on the optimization problem. In this way the original proposition is concretized for solving.

从系统的传递函数出发，首先证明系统闭环特征函数为A-类整函数的性质并给出其它有关定理，然后进行一系列数学推导，得出了控制器参数与目标函数间的解析关系式及优化的约束条件，由此产生参数优化的具体命题。

E. thickness of the copper wire wall, length of the single conductor wire, height of the solenoid, the exciting current and the current density, the working temperature of the conductor, time of exciting and demagnetizing, the cooling water pressure and flux density, etc..

所建立的数学模型包含3个目标函数（即能耗极小化目标函数、铜耗极小化目标函数和纯铁用量极小化目标函数）、7个设计变量（即铜管规格参数a、b、t，线圈匝数N〓、N〓，铁铠磁通密度B〓和冷却水压p）和8类14个约束条件（即铜管壁厚、单饼导线长度、螺线管高度、激磁电流与电流密度、导体工作温度、激退磁时间，冷却水压和铁铠磁通密度等约束条件）。

Then the spatial localization of the main well-known visual neuron's receptive field models such as DOG function, LOG function, higher order derivatives of Gaussian functions and 1—D, 2—D Gabot function models is quantitatively analysed.

如对通常被作为建立模型的主要根据的&最优的空间定域性&判据的物理意义和适用性也没有得到深入的论证，而且已有的主要几类感受野模型，如DOG函数、LOG函数、高斯函数的高阶导数和一维、二维Gabor函数等模型在空间分布形态上难以准确反映系统中神经元感受野的形态和信息处理机制等等。

The upper bound of error probability is used as the criteria of clustering and the evaluation of the clustering result. On the basis of initiatory clustering based on distance functions, the algorithms named"pick-over"and"fill-up"are proposed to minimize the upper bound of error probability.

我们将聚类准则即模式相似性测度问题和聚类结果的评价指标统一为总的最小错误概率上界，在算法实现上，首先先用基于距离函数的聚类方法得到初分类，然后采用基于最小错误概率的&抽取&和&回填&算法得到使总的错误概率上界最小的聚类结果的分析方法。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了