查询词典 differential geometry

Quantity and space both play a role in analytic geometry , differential geometry , and algebraic geometry .

数量和空间在解析几何，微分几何和代数几何中都发挥作用。

One has its origin in algebraic geometry, whereas the other one comes from differential geometry.

借助于它们上面的Hermitian度量我们可以定义两个模空间：一个联系着代数几何；一个联系着微分几何。

In classical differential geometry are important in the theory and application of guidance, in integral geometry, computer-aided geometric design and other fields also have a wide range of applications.

在经典微分几何中的有重要的理论指导和应用，在积分几何、计算机辅助几何设计等领域也有着广泛的应用。

This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles, and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering.

本书试图提供外微分形式、微分几何、代数拓扑、微分拓扑、李群、向量丛、Chern公式等前沿知识，它们对于深入理解经典物理、现代物理以及工程都是必需的。

The book is structured so that the reader may choose parts of the text to read and still take away a completed picture of some area of differential geometry Beginning at the introductory level with curves in Euclidean space, the sections become more challenging, arriving finally at the advanced topics which form the greatest part of the book:transformation groups, the geometry of differential equations,geometric structures, the equivalence problem the geometry of elliptic operators, G-structures and contact geometry.

这本书是结构，以便读者可以选择部分文本阅读，还带了一个完整的画面，有些地区的微分几何开始入门级和曲线的部分，在欧氏空间变得更有挑战性，终于到达了高级的主题，形成了最大的一部分书：变换团体、几何的微分方程、几何结构、等价问题的几何形状，G-structures椭圆算子和接触几何。

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。

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。

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。

The idea of Gauss initiated the study of "intrinsic geometry" and made differential geometry an independent subject of mathematics.

由此开创了曲面的内蕴几何学的研究，使微分几何成为一门真正独立的学科。

Results A view of better understanding origins of Gaussian intrinsic differential geometry is presented,and the intrinsic relation between Gauss′s thought of intrinsic differential geometry and of his non-Euclidean geometry is brought to light and discussed.

结果 总结分析了高斯建立的内蕴微分几何的思想和渊源，揭示了其与非欧几何学的内在联系。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。