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Chapter 1 briefs the relation between invariance and computer vision and summarizes the research and application of invariance in computer vision. Chapter 2 first derives the transformations of three camera models, then makes the correpondences between the models and three typical geometrical transformation groups by analysing the transformations respectively. The correspondences supply the theoretical basis for applying geometrical invariants to resolve the problems of computer vision. In Chapter 3, we describe the geometrical invariant theory and prove some geometrical invariants of coplanar points, lines or conics by algebraic method. In order to use the invariants of conic pairs to describe general 2D shapes, we discuss the perspectively invariant representation of planar curves using conies in detail. A system consisted of two TMS320C25 and based on moment invariants is introduced in Chapter 5. The system can recognize more than 30 different shapes of object model or more than 10 plane models with similar shape in real time.

第一章简述了不变性与计算机视觉的关系，以及计算机视觉中的不变性研究和应用概况；第二章推导了计算机视觉中常用三种投影模型的变换关系，通过对这三种变换关系的分析，分别建立了这三种投影模型和几何学中的三种变换群之间的一一对应关系，为几何不变性在计算机视觉中的应用提供了理论基础；在第三章中，我们介绍了几何不变性的理论，并且用代数方法证明了共面点、直线、二次曲线的几何不变量和射影不变量；为了把二次曲线的不变量用于一般二维形状描述，在第四章中我们详细地讨论了用二次曲线实现一般平面曲线的透视不变性表示的方法；第五章介绍了用两片TMS320C25构成的、基于不变矩形特征的运动目标实时识别系统。

It is difficult to describe it just as hard to describe beauty.

正如"美是难的"一样，爱也是难的。

To describe a discursive unity, we then describe those relations.

描述话语统一，那么，我们描述这种关系。

This paper will describe,analyze and explain the phrase of "V+ge+VP"from the two parts: diatronic and syntronic.In the syntronic point,we fully describe the surface syntax structure, the deep–seated semantic relation and the exterior pragmatic functions from point to side,then we compare the difference and the homology with "V+de+VP"from multi-point.At last,we analyze and explain the pragmatic functions by focus theory and metrics principle. In the diatronic point, we explore the origin and development of this phrase,then we research its development. We summarize its developing process from Qing dynasty to modern times and predict its developing tendency as a whole on the statistics of its development.

本文从共时和历时两个角度对"V+个+VP"进行描写、分析和解释：在共时平面上对"V+个+VP"动补结构的表层句法结构、深层语义关系及外部语用功能进行从点到面的详尽描述，并从多个角度将其与"V+得+VP"结构的异同进行对比，最后综合运用焦点理论及韵律学原则分析解释其承担的语用功能；在历时平面上探究"V+个+VP"短语的来源及发展概况，对"V+个+VP"的发展情况进行考察统计，对其从清代到现代的发展情况加以总结，并从总体上概括了"V+个+VP"短语的发展趋势。

Perspective of the thesis is from the social development and enterprise progress, to enhance competitive advantage of technological enterprises as the goal, describe the necessary to resolve the issue of the organizational structure by a comparative analysis, as well as in practice, optimization of the organizational structure has practical significance, the thesis is on the basis of optimization analysis of organizational structure of Shenzhen MG technology company, and uses the four-cycle perspective to describe the cyclical dynamic reconfiguration of the organization optimization problem, through the planning, startup, diagnosis, design, reconstruction, monitoring , as well as steps to improve the optimization of organizational structure, provide a new way of thinking and problem-solving approach to improve the efficiency of organization for similarity technology enterprises.

本文从社会发展、企业进步的视角出发，以提升科技企业竞争优势为目标，阐述了解决企业组织结构问题在理论上的必要性，以及组织结构优化在实践中所具有的现实意义。本文在对深圳MG科技公司组织结构现状进行分析的基础上，采用四循环法这种以周期性的观点描述企业动态组织优化问题的方法，通过策划、启动、诊断、设计、重构、监控、以及改进等步骤逐步实现对深圳MG科技公司的组织结构优化，所得的研究成果为类似科技企业进行组织结构优化提供了新的解决思路和方案。

By finding a set of basis, we use matrices of transformation under a set of basis to describe the structure of the Galois group. If a normal extension has a normal basis, then it is simpler to describe the structure of Galois group in this method.

因此寻找一组基，我们利用线性变换在基下的矩阵来描述Galois群的结构，特别地，当正规扩张存在一组正规基时，用这种方式表示Galois群的更加简单。

The 3 order Yeoh constitutive model is used to describe the mechanical behavior of carbon-filled rubbers, the aging deterioration rule of carbon-filled rubber is discussed by thermal aging test, and an incomplete quadratic polynomial model is established by Response Surface method, which can describe the variation of performance with aging time and temperature of aged rubber.

用响应函数法建立了橡胶性能随老化时间、温度变化的二次不完全多项式模型，定量描述了材料热老化性能的变质规律。

Johannsen experimented with the Princess bean and found that if the self-fertillzing parent plants were from a mixed population, then selection did indeed work. He described the offspring of single parent as a ' pure line ' and stated that they were genetically identical. In 1905 he coined the terms ' phenotype ' to describe the outward appearance of an individual and ' genotype ' to describe the genetic makeup of an individual.

约翰逊用菜豆做实验，结果发现：如果自体受精的亲本植株来自一个混合群体，那么选择确实是有效的，而被称为"纯系"的单亲后代则表明它们在遗传上是一致的。1905年他首次采用"表现型"来描述某一个体的外观形状，用"基因型"来描述某一个体的遗传组成。

In order to describe the dynamic and complicated process model exactly, we propose the logic situation calculus based on the expanding the situation calculus and describe the virtual enterprise in this formal logic framework.

为了准确地描述虚拟企业这种动态的、复杂的建模过程，我们对情景演算这种形式化逻辑框架进行扩展，提出了逻辑情景演算，并以逻辑情景演算来描述虚拟企业的运作过程。

As the connection of marginal distribution function, the Copula function may not only reflect the relativity of random variable, but also may describe the random variable's related pattern well. Therefore we may use the different Copula function to describe the different related pattern.

作为连接随机变量边缘分布到联合分布的函数，Copula函数不仅可以反映出随机变量间的相关程度，而且可以较好地描述随机变量间的相关模式，因此可以用不同的Copula函数来表示不同的相关模式。

The network space is the typical form of abstract space when it comes to the digital stage.

网络空间是抽象空间数字化阶段的典型形式。

The Notarial System,as the system of judicial certification in our country,is both the constructor and the defender of social credit system,It has its special value and function in the social honesty.

公证制度作为我国司法证明制度，既是社会信用体系的建设者，同时也是社会信用的捍卫者，在诚信中有其特殊的价值和功能。