查询词典 sphere geometry

Information such as attitude angle of aircraft is used to emendate the large-geometry-distorted image, so the research of this dissertation is based on the hypothesis that images used have small geometry distortion.

针对图像匹配在导航中的应用，提出了对于存在大的几何失真的图像利用飞行器本身信息进行几何校正的方法，所以本文算法的研究都是基于小的几何失真这一假设的。

Information such as attitude angle of aircraft is used to emendate the large-geometry-distorted image, so the research of this paper is based on the hypothesis that images used have small geometry distortion and invariant moment feature is used to reduce this distortion.

由于大的几何失真图像可利用飞行器本身信息进行几何校正，所以本文的研究都是基于小的几何失真这一假设的，并且利用不变矩特征来减小这种失真。

The study of space originates with geometry in particular, Euclidean geometry .

空间 这项研究的起源与几何空间-特别是欧几里德几何。

In field Euclidean geometry , the problem of expressing orthogonal transformation as symmetrical product is one of the basic problems in geometry .

域上欧氏几何中，把正交变换表为对称之积的问题，是几何学中基本问题之一。

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。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。