几何化

Without using Lie derivative and Lie bracket operation of differential geometry , we only use the algebra method to give a sufficient condition of single input exact feedback linearizable bilinear systems.

摘 要 研究了单输入的双线性系统的精确线性化及其鲁棒控制器设计问题，避免了用微分几何的李导数、李括号的复杂运算，只用纯代数的方法给出了一般单输入双线性系统精确线性化的充分条件。

In this paper, we used molecule dynamics simulation technique in researching dielectric property. By analyzing the information that is provided from molecule dynamics simulation, we can got some dielectric properties like dielectric constant and chargeability. Firstly, 3D model of silicon dioxide was been built and geometric optimization was been used to make the model more correctly. Then the model was been put in calculation of molecule dynamics simulation with a definitive temperature.

本文针对氮化硼晶体在极端高温下的介电性能开展研究，首先建立六方氮化硼晶体的微观结构模型，通过几何优化对其进行进一步的结构修正，然后选择合适的力场、系综、积分时间步长和压力温度控制方法，对微观结构模型进行某一温度下的分子动力学计算，动力学计算达到平衡后得到该温度下电介质材料的微观结构模型和动力学特性。

In this dissertation, systematic and extensive conformational search has been performed for asparagine and aspartic acid in gas phase and solution and the properties of the stable conformers are studied using DFT based first-principles calculation. The concerned properties include geometry structure, IR spectra, conformer distributions, intramolecular interactions, ionization energies and electron affinities, protonation and deprotonation processes.

在本论文中，我们对天冬酰胺和天冬氨酸在气相和溶液中的稳定构型进行了系统而全面的寻找，并研究了其稳定构型的几何结构、红外光谱、构型分布、分子内相互作用、电离能、电子亲合能、质子化和去质子化过程等相关性质。

Based on mathematical mechanization method and computer symbolic processing technique this paper carried out a solution by symbolic method for position analysis of robot with octahedral and decahedral variable greometry truss.

基于数学机械化方法和计算机符号处理技术，对八面体及十面体变几何桁架机器人的位置分析进行了符号法求解，成功地将非线性位置约束方程组化简为等价的三角化方程组，分别导出了单变量的16次和48次代数方程，并给出一个数字实例说明这种方法。

Dirac equation can be separated into an angular equation and a radial equation with the help of separation variable.

通过分离变量得到Dirac方程相应的角向方程和径向方程，得出了用广义连带勒让德多项式表示的归一化角向波函数和用合流超几何函数表示的归一化径向波函数；获得了精确的束缚态能谱方程并对结果作适当讨论与结论。

Our interest in this paper is localizing a team of heterogeneous robots in two dimensional special Euclidean space SE (2) and localizing targets with information obtained from heterogeneous sensors.

我们对这一张纸的兴趣是在二空间的特别欧几里得几何的空间 SE(2)中本土化一队异种的机械手和用从异种的感应器被获得的数据本土化目标。

The instrument software has the function of demonstration of basic knowledge of Digital Image Processing, i.e., it performs the functions of real-time collection and images saving, color change (brightness, binarization, RGB separation etc.), geometrical transform, edge detection (Robert arithmetic operator, Sobel arithmetic operator, Prewitt arithmetic operator, LOG arithmetic operator, Canny arithmetic operator etc.), gray-scale image enhancement (histogram equalization, averaging filtering, median filtering), and binary mathematical morphology management (erosion, dilation, opening, closing, objects marking, Euler number calculation).

该测试仪的软件部分包含数字图像处理课程所涉及的一些基础知识的演示，具体包括图像的实时采集与保存、颜色变换(灰度化、二值化、R、G、B颜色分量的分离等)、几何变换、边缘检测(Robert、Sobel、Prewitt、LOG、Canny)、灰度图像增强(直方图均衡化、均值滤波、中值滤波等)、二值图像操作(腐蚀、膨胀、开启、闭合、对象标注、欧拉数计算)等功能。

The paper presents how to use the technique of OLE and ARX of AutoCAD to build the geometrical model, the finite element model of the given structure visually and use the template and wizard to build the optimization model of it. During the iterative process of the optimization, the method of tracing visualization and interactive control is also provided. Some examples are given to show the appliance of visualization aided structural optimization. Finally, the work of systematic integration is carried out.

同时论述了在优化建模中运用OLE ARX技术实现可视化地建立优化对象的几何模型，结构有限元模型，以及使用模板和专家向导来辅助建立优化模型；在优化迭代过程中实现了跟踪可视和交互式监控，以具体的例子说明了在可视化技术辅助下的结构优化在工程中的应用。

The display information is represented by triangles of faces and polylines of edges, organized in the hierarchy of assembly, part, face, line segment and point. Geometry information is appended onto the display information to provide precise definition of geometric elements for inquiry.

显示信息记录面的三角化模型和边的多边形模型，以加快模型的浏览速度，且按装配、零件、面、线、点层次关系进行组织；几何数据附加在显示信息上，提供几何数据的精确查询。

Based on analysis and compare of all kinds of precept-sorting of feature of plastic product for the different structural plastic product, a 3D feature library of plastic product was built on the platform by integrating Feature-Modeling technique with parametric technique. The feature schleps its information of non-geometry by database-externed technique of the entity. After building the database of plastic material, the module of choice of plastic material is developed by technology of ODBC. The plastic product can be sculpted by calling of feature of plastic product and inputting parameters interactively.

针对不同结构类型的塑件，在全面分析、比较塑件特征分类的各种方案的基础上，采用三维特征建模技术和参数化技术，建立了注塑产品的三维特征库；应用实体扩展数据库技术，使特征携带非几何信息；再在建立塑料物性数据库的基础上，采用ODBC技术，开发了塑料材料选择模块；通过塑件特征的调用和人机交互输入参数的方法进行塑件三维造型，再把塑件的三维实体和塑件的非几何信息结合起来，生成塑件全信息模型。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐