查询词典 gauss curvature

Gauss curvature is put forward to estimate the local convex of a surface to guarantee its quality.

对于后着，本文提出采用Gauss曲率来进行曲面局部凸性的判断，从而更加保证了曲面的质量。

Chapter 2 introduces some propaedeutics of classic differential geometry, which include the first basic form, the second basic form, normal curvature, main curvature, mean curvature, Gauss curvature, unit normal vector, main vector, etc.

第二章介绍一系列的预备知识，主要是关于古典微分几何中第一，第二基本形式的定义，法曲率，主曲率，平均曲率，Gauss曲率，单位法向量，主方向等的定义。

Based on this property, by solving a series ODEs we construct a two-parametric family of helicoidal surfaces under cubic screw motion with prescribed mean curvature or Gauss curvature and solve an open problem left by Beneki.

基于这一点，当螺旋面的平均曲率或Gauss曲率为给定光滑函数时，本文选取伪正交标架，使得两类螺旋面的平均曲率和Gauss曲率的表达式相对简化，通过求解一系列的非线性常微分方程，即可确定一族生成曲线，从而最终确定平均血率或Gauss曲率为给定光滑函数的双参数族螺旋面，并在这一过程中解决了Beneki等人留下的一个公开问题。

In fact, the mean curvature and Gauss curvature of any helicoidal surface are independent on rotation parameter.

事实上，三维Minkowski空间中任意螺旋面的平均曲率和Gauss曲率都与旋转参数无关。

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。

And then, we gain some definitions that in relation to regular surfaces which include discrete Gauss curvature and discrete mean curvature.

由此获得了一系列的相对于光滑曲面的离散定义，如离散平均曲率，离散Gauss曲率等。

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。

Applying this rule, a kind of the definition of the discrete estimated value on the quadrilateral net is given. It includes the definition of discrete Gauss curvature and discrete mean curvature.

应用该方法，给出了一种四边形网格上任意顶点处的离散估计值的定义方法，主要包括离散的Gauss曲率和平均曲率的定义。

Thus, combining this work with Benekis work, we prove that there exist any type of helicoidal surface with mean curvature or Gauss curvature being any smooth function.

这样结合Beneki等人的工作，本文证明：三维Minkowski空间中，平均曲率或Gauss曲率为任意给定光滑函数的任意一类螺旋面都是存在的，并给出了具体的参数表达式。

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。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。