几何基础

The auxiliary technologies for hexahedral mesh generation are studied thoroughly in this article. The technologies mainly cover the parametric description of three-dimensional geometric solid boundary, the controlling of mesh precision by imposing maximum geometric discretization error, the topology analysis of mesh, the optimization of node labeling and the display of mesh with removed hidden lines.

对六面体网格生成的辅助技术进行了较深入的研究，其中主要讨论了三维空间几何实体边界的参数化描述、利用最大几何离散误差来控制网格的离散精度、在对网格的拓扑关系进行正确分析的基础上提出改进的节点编号优化算法以及快速的网格消影显示等技术。

Firstly, we introduce the technology of seismic geometric attribute for fault identification detailedly at home and abroad. Secondly we study the coherence, texture,curvature attribute and tricolor display technology of RGB to identify fault; In the part of coherence,we compare the traditional algorithms with model and actual data,mainly study the geometric structural tensor and wavelet multi-scale sub-frequency coherent algorithm; In the part of texture attribute, we introduce texture energy, texture contrast, texture entropy and texture homogeneity attribute.By merging texture attributes of different directions,the effect are more clear; In the part of curvature attribute,we study and analyze fractional-order curvature attribute's extraction and its application in fault identification; The RGB display technology mainly introduces how to merge multi-attributes in order to getting more richer and more clearer information.

首先具体先容了地震几何属性识别断层技术的国内外研究现状；然后分别研究了相干属性、纹理属性、曲率属性和RGB三原色显示技术来识别断层；其中相干属性通过模型和实际资料对传统相干体算法进行了对比，重点研究了几何结构张量相干体算法和小波多标准分频相干体算法；纹理属性主要先容了纹理能量、纹理对比、纹理熵和纹理一致性属性，通过对不同方向的纹理属性进行融合，效果更清楚；曲率属性重点分析了分波数曲率属性提取及其在断层识别中的应用；RGB三原色显示技术则主要先容了如何进行多属性融合来或得更丰富、清楚的信息，在此基础上开发了基于。

In this paper, mathematical analysis, linear algebra is more material as the foundation, on the basis of previous studies, will solve a number of the function extreme value methods, such as distribution method, elimination method, the discriminant method, mean inequality method, the geometric method, vector method and derivative method, and so to summarize, and on this basis is given for each method the corresponding examples to illustrate for readers to reference and understanding.

本文以数学分析、线性代数更教材为基础，在前人研究的基础上，将求解函数极值的若干方法，如配方法、消元法、判别式法、均值不等式法、几何法、向量法和导数法等等进行归纳总结，并在此基础上针对每一种方法给出相应的例子加以说明，以便读者参考和理解。

And made a comparison between the Han nationality and the BouYei nationality students in learning geometric proof, we sum up the defferences between learning geometric proof abilities and the general proof process.

针对问卷和测查题的定量统计分析和个案定性分析，得出被试学生学习几何证明的一般过程和证明能力发展的差异情况，在此基础上进行了几何证明的微型教改实验，得到以下的结果： 1。

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。

On this basis, it deeply analyzesed the spatial geometry structure of hyper spectral data lattice distribution, concluded that high\|dimensional space of remote sensing hyper spectral data belong to low\|dimensional geometry structure \|"hyperplane" shape, and anomaly point group which includes alteration information usually dissociates out the "hyperplane".

在此基础上，对高光谱数据点阵分布的空间几何结构进行了深入的研究分析，推断出遥感高光谱数据集合的高维空间属于低维几何结构"超平面"形态，而包含蚀变信息在内的异常点群通常会游离在"超平面"之外。

We studied the random iterate function system and applied it to the textile pattern design.

本文以分形几何生成理论为基础，研究并发展基于迭代函数系统IFS的分形几何在纺织纹理设计方面的应用。

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 this paper a framework is built for differential quantity calculation on spatial curves of point cloud and a new matching method for given point curves is proposed.

建立了点云几何分析的相关理论框架，即定义和计算点云潜在曲线的几何微分量，包括Frenet标架、曲率、挠率等；在此基础上提出一种新的点云空间曲线匹配方法。

The experimental results show that the new reconstruction method is useful for frequency spectrum analysis of geometry information.

实验结果表明，基于V-系统的几何图组信息重构的方法，为开展几何图组的频谱分析研究打下了基础。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。