查询词典 analytical geometry

By the cognition and assurance of axiomsystem viewpoint and its characteristics in the "The Thirteen Books of Euclid's Ecements",guided by the courses' standards,the idea and approach of axiomsystem viewpoint were extended through the education of plane geometry,in order to accomplish the task of plane geometry's teaching,which is beneficial to the improving of one's quality and following-up's development.

通过对Euclid《几何原本》公理化系统观点及其特点的认识与把握，在课程标准的指导下，以平面几何教育来推广公理化系统观点的思想方法，以完成平面几何教学任务，以利于其自身素质的提高及后续的发展。

Through studying some fundamental properties of the curved surface in differential geometry , a method of linear feature extraction based on differential geometry is introduced.

通过研究微分几何理论中曲面的一些基本性质，本文介绍了一种基于微分几何的线状地物提取方法，首先在局部区域内拟合一个二次曲面函数，然后通过该函数来估算灰度曲面的梯度和曲率，设定合适的梯度和曲率阈值来检测线状地物，最后进行后处理，消除许多噪声颗粒及小块区域。

In this paper, after introduction of the basic concepts, the main results on Geometry of Matrices and the developmental survey on Linear Preserver Problems, we characterize some important additive preserver maps by using the fundamental theorem of Geometry of Matrices.

本文在介绍了矩阵几何的基本概念、主要成果及线性保持问题的发展概况之后，应用矩阵几何刻划了几类重要的加法保持问题。

Remarkable is that this more than a century ago almost directly with the achievement of modern mathematics, the following methods, the general flow is concepts, algebra to geometry closely linked, he and his successors -- Beiertelami, Christopher Tuofeier, Lee Puxici developed differential Zhang volume analysis has gradually become more research on the flow geometry and analysis of an important tool.

令人赞叹的是，这一个多世纪前的成就几乎直接同现代数学中的拓扑方法、一般流形概念、代数几何学等紧密相连，他和他的接班人——贝尔特拉米、克里斯托费尔、李普希茨所发展的微分张量分析逐渐成为研究流形上几何结构和分析的一个重要工具。

It is embodied in the three research programs of modern physics:(1) According to the program of geometrization of physics, the essence of the Curved Space in gravitational field needs to be explicated by Riemannian geometry, differential geometry, tensor analysis;(2)According to the program of quantum field theory, the generation and annihilation operator can represen...

它分别体现在现代物理学的三大研究纲领中：(1)根据物理学的几何化纲领，引力场弯曲空间的奥秘需要通过黎曼几何、微分几何与张量分析来解读；(2)根据量子场论纲领，场理论的"产生和湮灭"算符，能方便而精确地表征和重构相关的微观作用机制；"场的本体论"和"生成辩证法"同时得到体现。

The essay is about the teaching research into the relations between the definition geometrize nature and circular cone , in which the teaching research of definition mainly uncovers the nature of circular cone;geometry nature about how to lead the students to understand the geometry nature of circular cone with equations in the thought of figures and shape.

其中定义的教学探究主要是揭示圆锥曲线的本质特征，几何性质的教学探究主要引导学生从方程的角度，用数形结合的思想去理解圆锥曲线的几何性质。

Conventional graphic solution was often manually used to solve the problem of the spatial geometry in Descriptive Geometry and thus the result is inaccurate.

传统图解法通常采用手工绘图解决空间几何问题，作图结果不精确。

For a geometry and its group, an element of the group is sometimes called a ''' motion ''' of the geometry.

对于一个几何和它的群，群的一个元素有时叫做该几何的一个'''运动'''。

In IBR (image-based rendering) application, we introduce homotopy mapping into view interpolation based on uncalibrated images, and present three forms of perspective homotopic transform according to different conditions.①The linear interpolation technique presented only preserves perspective geometry, but the intrinsic and extrinsic parameters of camera are changed. For the uncalibrated images, its application is restricted.②The view interpolation presented for rotational uncalibrated images can preserve both perspective geometry and the intrinsic parameters of camera, and the view position can be controlled. At meanwhile, the image registration method and panoramic images synthetic method is presented.

3在基于图象的绘制技术方面，将同伦变换引入视图插补中，针对未标定图象序列，并根据以下三种情况给出相应的透视同伦变换，①只保证符合透视关系，而摄象机内外参数均已改变的线性插补技术，对于标定图象序列，这种插补技术是非约束的，而对于未标定图象序列则只适合于某些特殊场景；②旋转图象序列的视图插补技术，同时给出了旋转图象序列的整合及全景图生成方法；③通过对非约束图象的预校正，完成平移情况下的视点插补。

Establish geometry model of hyperboloid clutch with rollers with differential geometry. We know that the line of tangent is beeline and validate it with Matlab.

利用微分几何相关知识建立了内外环的双曲面等距曲面及滚柱的几何模型，求解出其接触线为直线并用MATLAB进行了理论验证。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。