曲面

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。

In this paper, we mainly discuss a kind of surfaces in4- dimensional Pseudo-Euclidean Space and give the classification of such surfaces with constant mean curvature and Gauss curvature.

文章研究四维伪欧氏空间中的一类曲面，给出了具有常平均曲率、高斯曲率及相关平均曲率和高斯曲率的这类曲面的分类。

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。

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。

All quadrilateral mesh automatic generation for regular quadric surfaces based on Auto CAD AME;2. Represent Quadric Surfaces Using NURBS and Calculate the Control Vertecs and Weights;3. Through study,the property is found out that planes cutting edgewise quadric curve and quadric intersections from the quadric surfaces become the harmonic division.

文中采用了射影几何的方法，证明了画法几何中关于两个二次曲面相交的著名的复切定理和蒙日定理，通过研究得出了周切线平面和交线平面成调和分割的性质，同时还得出了处于复切的二次曲面必存在相公切的二次曲面的性

In Chapter 6, by using the matrix models of 3-dimensional Minkowski space R〓, first we study deformation properties and integrablilities on spacelike surfaces with a harmonic inverse mean curvature and timelike surfaces with a Lorentz harmonic inverse mean curvature.

在第六章中，首先借助三维Minkowski空间R〓的矩阵模型，研究了R〓中具有调和逆平均曲率的类空曲面和洛伦兹调和逆平均曲率类时曲面的可积性及其形变。

The new heliostat has a mirror array capable of line-tilting in order to realize a type of dynamically change optical surface which has different radius of curvature in both tangential and sagittal direction.

这是一种新型的定日镜，其中包括一个由行和列组成的镜阵，其子镜可以进行行和列方向的自适应的运动，以实时根据太阳光的入射角的变化而改变整个镜阵的曲面，实现了类似Harald先生提出的曲面。

Firstly, the surface was dispersed into quadrangular meshes, then, the self-hidden lines were removed from the surface by the algorithm of removing hidden lines.

首先将方程曲面离散成四边形网格，然后采用消隐算法消除曲面的自隐藏线。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。