几何结构

Professor Chen Xingshen achievements in order to affirm and encourage the development of our young mathematicians to contribute to the cause of China's Mathematical What he has in-depth introduction to the mathematics outside the field of theoretical physics to become an important tool G introduced geometric structure of the equivalent problem, a 20th century one of the major developments of mathematics, Integral geometry for the generalized basis, access to basic kinematics formulas.

为了肯定陈省身教授的功绩，激励我国中青年数学工作者对发展我国的数学事业做出贡献他引入的东西已深入到数学之外的领域，成为理论物理的重要工具，引进了G 几何的结构，研究其等价问题，成为20世纪后数学的主要发展之一，为广义的积分几何奠定基础，获得基本运动学公式。

The multivariate polynomial interpolation problem is a classical mathematical problem that is widely used in many fields, such as multivariate function list, surface design and finite element method. In recent years, multivariate polynomial interpolation has been focused by many people, of which the geometric topological struction of sets of interpolation nodes is also much concerned by us.

多元多项式插值问题是一个十分具有研究意义和实际应用价值的数学问题，它广泛应用于多元函数列表，以及曲面的外形设计和有限元法等诸多领域，近年来多元多项式插值越来越受到人们的广泛关注，其中有关插值结点组的几何拓扑结构问题也是人们十分关注的内容。1998年，梁学章和吕春梅在文献[2]中借助代数几何中的有关理论，进一步讨论了沿无重复分量平面代数曲线上的Lagrange插值问题，并应用Cayley ？

The x-y spatially-resolved mapping of polarized Raman scattering spectra from a single tetrapod-like ZnO nanostructure were proposed and performed, with different polarized scattering configuration by utilizing the intrinsic geometry configuration.

此外，通过对量子线的磁阻测量，揭示一维结构中载流子在磁场中的输运行为。 2。首次根据四角晶须状ZnO纳米结构的天然的空间几何构型，采用不同的Raman散射配置，研究单个纳米结构的具有高空间分辨率的偏振Raman二维扫描谱。

Proposed surface geometric operations and the improved data structure can be applied for a general parametric surface and for representing solid bounded by other parametric surface.

所提出的曲面几何处理的算法，改进的可统一表示曲面、实体模型的数据结构亦可应用于一般的参数曲面几何处理与曲面实体模型的表示。

Within algebraic geometry is the description of geometric objects as solution sets of polynomial equations, combining the concepts of quantity and space, and also the study of topological groups , which combine structure and space.

在代数几何里，把几何对象描述成多项式方程的解集，结合数量和空间的概念；也研究拓扑群，结合了结构和空间。

In order to characterize the spatial characteristics at different scale, different theoretical model coefficient we defined to create the Kriging map and the rational number of sampling impendent from each other at different spatial scale.

变异函数结构分析显示，土壤机械组成的空间变异在各方向上具有不同变率，但均可通过线性变换而转换为各向同性的统一结构，属于几何各向异性结构；不同观测尺度上有着不同的空间结构特征，对不同空间结构的区域化变量确定了不同的理论模型参数，并绘制克立格图，给出不同观测尺度下满足独立取样的合理取样数目。

The main jobs of this paper are as followed: 1 The reuse of the frame design technology for aircraft assembly fixtures is researched. a frame line part library is built with the templet driven technology, the reuse of the frame line part come true by the tools for instantiation and instance modification. The design resources are effectively used, some repeating work is cut. 2 Two methods to obtain the assembly feature are proposed: the straight way by the Enumeration method and the indirect way by project features to the assembly plane. All of the assembly features of the frame and the adjustable bearings are obtained by these two methods which makes the frame automatic assembly technology for aircraft assembly fixtures come true. 3 The frame automatic assembly technology aircraft assembly fixtures based on assembly features is researched. A binary tree assembly model is used to express the assembly information of the frame for aircraft assembly fixtures, the automatic assembly between the frame, the aircraft and the adjustable bearing is completed within the three steps: distribute, obtain and evaluate assembly feature. Finally, the efficiency of the frame assembly design is proved. 4The frame interpart modeling technology for aircraft assembly fixtures is researched, the intersection methods are concluded and the arithmetic of the single-cut, double-cut and inter-cut intersection is proposed, the interpart fast modeling of the frame design for aircraft assembly fixture come true. 5Based on the researches mentioned before, a sub-system of frame fast design for aircraft assembly fixture is developed on CATIA. The sub-system is used to design the aircraft assembly fixtures in a large aeronautics corporation and make a good- effect.

论文的主要工作如下： 1研究了飞机装配型架骨架设计重用技术，在总结归纳骨架线框结构类型的基础上，应用模板驱动的方法建立了骨架线框库，通过骨架线框零件的实例化和离线编辑实现骨架线框的重用，有效利用设计资源，减少重复劳动； 2提出穷举几何对象的装配特征直接获取方法，遍历零件模型的几何对象，从中捕捉所需装配特征，该方法简捷、高效；提出向装配面投影的装配特征间接获取方法，该方法在现有特征基础上生成装配特征，解决了部分装配特征难以直接获取的问题； 3研究了基于装配特征的飞机装配型架骨架自动装配技术，采用一种二叉树装配模型表达骨架的装配关系，并通过装配特征的分配、获取和赋值三个步骤，实现了骨架分别与飞机产品和可调支承的自动装配，避免了繁琐的人工交互操作，提高了骨架设计的效率和规范化程度； 4研究了飞机装配型架骨架零件间建模技术，在总结归纳骨架元件相贯处理方式的基础上，提出了骨架元件单剪切相贯、双剪切相贯和互剪切相贯的实现算法，简化了骨架相贯处理的过程； 5基于以上研究，在CATIA平台上开发了飞机装配型架骨架快速设计子系统，并应用于某大型航空企业的装配型架设计，提高了设计效率和设计质量。

The stealth warplane for the microwave radar usually have complicated structures with the coating of wave absorption. On the base of calculation and modeling of the geometrical structure of the warplane in real size, the HF RCS of the air crafts under two different polarizations in different direction have been calculated with the FDTD. The result shows that the above mentioned stealth warplane have the obvious characterstics of frequency resonance, polarization and the relatively large RCS in HF Band 10-30dBm2, which can be used as the theoretical reference for selection of working frequency for sky wave OTH Radar and it also means that the sky wave OTH radar has good capability of anti-stealth targets quantitatively.

对微波雷达具有隐身作用的飞机，其形体较为复杂且表面涂敷有强吸波材料在对一种具有隐身几何外形结构实际尺寸飞机进行计算建模的基础上，文中采用FDTD技术得到了两种极化状态下该飞机无涂敷时不同方向上的短波雷达截面RCS值其结果显示了这种隐身几何外形飞机在短波波段有明显的频率谐振特性、极化特性和较大的RCS10-30dBm2，可为天波超视距雷达在选择工作频率时提供理论参考，并定量地说明天波超视距雷达具有较优的反隐身目标能力

In order to do the geometric shape analysis for each feature of the turbine blade effectively, the density measurement data of the turbine blade with complex topological structures should be segmented into relatively simple sub datasets according to blade structure.

为了有效进行涡轮叶片各结构特征的几何尺寸分析，需要对涡轮叶片的测量数据进行分割，把具有复杂拓扑结构的空心涡轮叶片的测量数据分割成简单拓扑结构对应的测量数据子集。

The catalytic performance of all the amorphous alloy catalysts mentioned above was measured during liquid phase hydrogenation of furfural to furfuryl alcohol, together with the kinetic studies. The relationship between the catalyst performance and the structure of catalyst, surface electronic state of the amorphous alloy has been systematically studied based on a series of characterization of catalysts . Meanwhile, the promoting effects of the support on the thermal stability and catalytic activity of the amorphous alloy catalysts have been discussed.

本文采用一系列的表征方法(XRD、XPS、TEM、BET、氢吸附、TPD等)进一步研究非晶态合金催化剂的表面结构、表面电子态和催化性能之间的关系，探索电子效应和几何效应对催化剂活性中心结构的影响，探索非晶态合金的晶化失活和载体对非晶态结构的稳定化作用，以及修饰剂对催化性能的改善作用等。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。