查询词典 lateral curvature

For the timelike surfaces with constant positive Gaussian curvature (K=1) in R〓, we construct the correspondence between R〓 and sl (2, R), and deduce the fundamental equations for a special choice of the velocity of motion of time-like surfaces in asymptotic coordinates under suitable conditions, meanwhile, we give the B〓cklund transformation and one soliton solution of the evolution equations, then in terms of a gauge transformation we obtain the explict expression of the motion of surfaces.

对于三维Minkowski空间R〓中具有正常高斯曲率（K=1）的类时曲面，取定特定速度，在以渐近线作为坐标曲线的情况下，曲面运动满足两个基本方程，即sinh-Gordon方程和θ随时间演化的方程（其中θ表示两条渐近线之间的夹角），同时给出两个基本方程的B〓cklund变换和单孤子解，并通过规范变换给出相应的正常高斯曲率曲面的显式表达式。

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。

In section 4.2, we study the rescaled WLC model which is equivalent to Langer and Singer's theory of elastica because the Gauss curvature equals zero in three-dimensional Euclidean space.

我们首先讨论了Feoli 等人的结果，将之作为自由能仅为曲率的泛函的特例纳入普遍形式理论中来；并研究了Langer 和Singer 提出的关于弹性曲线的理论(即重新标度的WLC模型)，与当前理论符合得很好。

Finally, the Knight strung a line between two of the monoliths and tied the horses up there.

最后，骑士们在两颗巨石之间拉了一条绳子，将他们的座骑绑在上面。

T7zN/hyS0 The island lies south by east from here.

那个岛位于此地的正南偏东方向。