研究几何学

This book provides an introduction to abstract algebraic geometry using the methods of schemes and cohomology.

代数几何学是数学中的重要分支之一，编码理论则是起源于工程技术的应用数学分支，本书是研究这两个分支的完美结合――代数几何码的一本专著。

The linear system optimum control theory distributes one of parameter systembasic topics,in domains and so on aerospace,national defense,finance,communicationhas the widespread application prospect.simultaneously, because the research tech-nique involves to foundation mathematics theories and so on the functional analysis,analysis situs,geometry, algebra.

线性系统的最优控制理论是分布参数系统的基本课题之一，在航空航天、国防、金融、通讯等领域有着广泛的应用前景。同时，由于研究手法涉及到泛函分析、拓扑学、几何学、代数学等基础数学理论。

The analytical geometry is used to study the formulas of Moire fringes for the measurement of screen line, to analyze the geometric forms and their properties of Moire fringes , and further discusses the bases of theory for the measurement of screen line.

本文用解析几何学方法研究测量网线的莫尔条纹方程，分析莫尔条纹的几何形状与特性，并且进一步讨论网线测量的理论依据，旨在深刻地揭示测量网线的莫尔条纹原理。

In this paper,singularity is used to study the classification of singularities of the binormal curves and focal surfaces of a spacelike in Minkowski 3-space,and also establish the relationships between singularities of these and geometric invariants of curves under the action of Lorentzian group.

应用奇点理论方法对三维Minkowski空间内由空间型曲线生成的副法线标型和可展焦曲面的奇点进行了分类，并且研究了在Lorenzian群作用下的空间型曲线的几何学不变量同这些奇点之间的关系。

Some six decades later when Kepler tackled the motion of Mars, he proposed a number of geometric models, checking his results against the position of the planet as recorded by his boss, Tycho Brahe, a Danish astronomer.

在60年后，开普勒在研究火星的运行诡计时，他假设了大量的几何学上的模型。

After studying teachers' use of Geometric Supposer for one school year, Yerushalmy, Chazan, and Gordon (1988) concluded that for the teacher to be successful, he or she must know the subject matter, function as a leader and manager of a community of learners, be flexible, and have time for planning and preparation throughout the year.

在研究老师的一个学校年， Yerushalmy ， Chazan 和戈登(1988)的几何学 Supposer 使用之后得出结论为老师是成功的，他或者她一定知道服从的物质，如一位领袖和一个学习者的社区的经理的功能，是有柔性的，而且一整年有计划的时间和准备。

A parametric study graphic nature of the projection, that is, they read the projective transformation, remained the same graphic nature of the geometry, the branches. 2D projective transformation is a more common transform method, used in the camera lens of the camera plane, and applied to various fields of study.

射影几何是研究图形的射影性质，即它们经过射影变换后，依然保持不变的图形性质的几何学分支学科。2D射影变换是一种较为常见的变换方法，发生在用透视摄像机对平面摄像的时候，并应用于各个研究领域。

In accordance of dynamical analysis to asymmetric basin forming, it is restricted doubly by crust multi-layer rheological structure and regional geotectology background in the Lower Yangtze regional crust, especially in close relationship with action of C-layer (18-20km) in the Lower Yangtze region crust. After quantitative analysis of mutual relation between the basin geometrical feature and the crustal structure, a new way will be supplied to the research of Mesozoic-Cenozoic sedimentary basin evolution and the oil -gas exploration in the Lower Yangtze region.

在此基础上，对非对称盆地形成的动力学分析认为，它受下扬子地区地壳多层次流变结构及区域大地构造背景的双重制约，尤其与下扬子地区地壳C层(18-20Km)的活动密切有关，定量分析了盆地的几何学特征与地壳结构之间的相互关系，为下扬子地区中新生代沉积盆地演化的研究及其油气勘探提供了新的研究途径。

This thesis is guided by structural geometry, kinology and dynamics. Using lots of basic data, the structural form, evolution history and formation mechanism are researched. The structural feature of south terrace and north slope are analyzed stressly.

本论文以构造几何学、运动学和动力学等理论为指导，在前人研究的基础上，应用大量基础数据，对高邮凹陷的构造形态、演化历史、形成机制等进行研究，并重点剖析了南部断阶带和北部斜坡带的构造特征。

This paper elucidates the necessity of introducing differential geometry in the quantitative study of structural geology and discusses its applications in the quantitative study of structural geology and relevant numerical calculation method.

中文摘要：阐述了在构造地质学定量研究中引入微分几何学的必要性，并讨论了在地质构造定量研究中的具体应用及相关的数值计算方法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。