查询词典 lateral curvature

For generalizations of Gauss curvature to higher-dimensional

有高斯曲率在高维

The problem that the conformal Gauss curvature equation may have a solution for every nonegative Holder continuous function K is also an open problem.

当预定的函数K取正值时，共形高斯曲率方程解的存在性命题作为一个猜测至今未得到解决。

Gauss mipping is used to describe the bending of surface very visual,used to illustrate the geometric properties of Gauss curvature too.As the use of Gauss mipping image,we can discuss some surface's properties.

Gauss映射用来描述曲面的弯曲性非常直观，也用来说明高斯曲率的几何意义，利用高斯映射象的讨论可以探讨曲面的一些性质。

Emphases are put on solving the problem of repeating searching extreme points in contours of Gauss curvature drawing,and the improved Bulirsch Stoer contour curve searching method is used in extreme points searching to speed up the searching efficiency.

提出了一种针对非均匀有理 B样条自由曲面的高斯曲率等值线的光顺检测方法，重点解决绘制高斯曲率等值线时出现的极值点的重复搜索问题，并将改进的Bulirsch-Stoer等值线搜索法用于极值搜索中，提高了搜索效率。

Then we give the linear expression of,by f,g.h:=-f;=ρ·g,here ρ is the Gauss curvature of the Riemann manifold,wealso give the geomety explaination and geometrical pattern of these expressions.

给出了与对于f，g，h线性分解的形式。＝-f；＝-ρg，这里ρ是曲面的高斯曲率。并给出了各自几何意义的解释与图示。

The existence of the radially classical solutions with Dirichlet boundary value in unit ball was investigated. Based on perturbation technique, topological method and comparability theorem, the existence of the radially symmetric solutions for the generalized mean curvature equations with proper presupposition was established.

在单位球内考虑广义平均曲率方程组具有Dirichlet边值条件的径向古典解，运用摄动技巧、拓扑方法及比较原理，在一个适当的条件下，证明了广义平均曲率方程组径向对称解的存在性。

Geodesic curvature of the pitch curve on spherical surface was introduced as a medium,through which the pitch curve on spherical surface can be changed into equivalent planar pitch curve by numerical computation method.

以曲面上曲线的短程曲率为媒介，导出了球面节曲线伸展成平面当量节曲线的算法。

Then 3D surface can be flattened to 2D plane from the center line by geodesic curvature method, and an accurate 2D pattern can be created through carrying out the numerical simulation.

然后以仿测地线曲率法，从摊平基准线将3D 曲面摊平展开至2D 平面上。并进一步透过数值迭代运算得到精确的2D 裁片外形。

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

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 .

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。

We are in a good position to meet your requirements.

我们完全可以满足你方的需求。

We are all pervade d with a sense of disaster.

我们普遍有大祸降临的感觉。