曲率

In that theory, the function of space curvature has been adequately deal with but not that of torsion.

力的时空几何性质，但只考虑了曲率的作用，没有考虑挠率的作用；关于物质运动对

This paper gives a mathematical definition to that two open planar curves have the same shape based on curvature representation, therefore, a new kind of shape distance is proposed. It is concluded that the problem of computing the shape distance between two open planar curves can be changed to the problem of a functional extremum, and the differential equation is given, which can be used to figure out the shape distance.

本文为基于曲率表示的两条平面开曲线的等形下了严格的数学定义，从而找到了一种新的形状距离度量，并且证明了这种形状距离的计算问题可以转化为一个泛函的极值问题，同时给出了求解形状距离的微分方程。

For more geometric properties of Gauss curvature.

有高斯曲率的更多几何属性。

On the contrary, the predicating result by Gauss curvature method is consistent well with the geol...

应用结果表明，高斯曲率法是一种预测和评价构造裂缝分布规律的有效方法，具有很好的应用前景。

In this paper we discuss the existence of surfaces of rotation about given Gauss curvature function in R 3 and give the position vector field of these surfaces.

讨论了R3 内给定 Gauss曲率函数的旋转曲面的存在性问题并且给出了这类曲面的位置向量场。

In this paper, we discuss the existence problem of rotation surfaces of given Gauss curvature function in H_1~3(-1) and give the position vector field of the surfaces.

中文摘要：本文讨论了三维反de sitter空间H_1~3(-1)中给定Gauss曲率函数的旋转曲面M的存在性问题并给出了这类旋转曲面的位置向量场。

Since the existence of embedded rotation surface with given Gauss curvature function has been well proofed, the design and modeling of the surface becomes possible.

由于给定Gauss曲率函数的嵌入旋转曲面存在性问题已经得到较好的证明，故使得曲面的设计成为可能。

But the ruled surfaces in R^3 or R(superscript 3 subscript 1) have vanishing Gauss curvature if and only if they are developable.

这与低维情形绝然不同，在R^3或R(上标 3 下标 1)中只有当直纹面是可展时，高斯曲率才为0。

In section three, we mainly discuss the existence problemof rotation surfaces of given Gauss curvature function in H_1~3(-1) and give theposition vector field of the surfaces and obtain theorem one and theorem two.

第三节主要讨论了H_1~3(-1)中给定Gauss曲率函数的旋转曲面M的存在性问题并给出了这类旋转曲面的位置向量场，得到了定理1和定理2。

The improved model not only preserves zero gauss curvature structures, such as straight edges, curvy edges, corners, ramp and small-scaled features and edge, but also enhances the sharp edge.

新的模型不但可以保持零高斯曲率的图像特征，如：直线边缘、曲线边缘、角点、斜坡和小尺度特征，还可以增强尖锐的边缘。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。