查询词典 differential geometry

This course is suitable of students who have mastered infinitesimal calculus, linear algebra, set topology, differential geometry of curves and surfaces.

微分流形己成为现代数学研究的基本对象，是联系经典数学和当代数学文献的桥梁。

In mathematics, Chinese scholars have achieved important results in fields such as number theory, theorem-proving by computer, differential geometry, topology, complex analysis, probability and mathematical statistics, PDE, functional analysis, numerical analysis and control theory and so on.

在数学方面，据我所知，中国数学家在诸如数论、定理机器证明、微分几何、拓扑学、复分析、概率论与数理统计、偏微分方程、泛函分析、数值分析和控制论等领域里也都取得了具有国际水平的成果。

An explicit mathematical representation of the exact boundary of a ball Bézier surface was given by recurring to the envelope theory of the family of bivariate surfaces in the classic differential geometry, as well as the spherical coordinates and the Cramer's rule.

根据经典微分几何中双参数曲面族的包络原理，运用球面参数坐标和Cramer法则，给出了球域Bézier曲面边界的精确数学显式表达式。

Kobayashi/nomizu, Foundations of Differential Geometry

标准的微分几何入门教材，主要讲述微分流形

Shoshichi Kobayashi, Katsumi Nomizu, Foundations of Differential Geometry

标准的微分几何入门教材，主要讲述微分流形

And the fundamental contents of surface representation and differential geometry involved in the study are summarily introduced.

本文以自由曲面几何分析技术为对象，主要进行了三个方面的深入研究。

The underlying concepts are based on differential geometry and theory of Lie groups in the mathematical aspect, and on transformation symmetries and gauge theory in the physical aspect.

基础的概念在数学方面基于不同谎话组的几何学和理论，并且关于在物理方面的转变对称性和计量器理论。

But it operates on the triangle mesh of 3-D objects surface retrieved from range images, and calculates the value and sign of Gauss curvature according to the geometrical meaning of Gauss curvature in differential geometry, which merits are its accuracy and speed.

该方法在理论上没有从拟合表面、求表面偏导的传统思路出发，它使用从深度图像得到的三维物体表面的格网表示，直接根据高斯曲率的几何意义计算高斯曲率的大小和符号。

A calculating method for finding the induced geodesic torsion was developed by using differential geometry and other mathematics tools.

为了分析线接触共轭齿面的诱导短程挠率，并清楚地诠释有关公式及计算推导的过程，运用微分几何、向量代数、线性代数等数学工具，寻找了一种计算诱导短程挠率的方法。

Based on the theory of gearing and differential geometry, a series of geometric relationships between conjugate tooth surfaces are analyzed, basic relationships of normal curvature as well as geodesic torsion between conjugate tooth surfaces are derived mathematically for the most general form of gearing.

基于微分几何和齿轮啮合理论，分析了共轭啮合齿面间的一系列几何关系，从而揭示了两个作空间共轭啮合运动的齿面之间的法曲率、短程挠率的内在几何联系。作为上述理论的具体应用，研究了准双曲面齿轮传动两齿面之间在给定参考点处的法曲率、短程挠率的关系

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。