查询词典 backward curvature

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。

It is proved that a complete hypersurface in the Eucligean space with constant mean curvature and finite total curvature must be either minimal or compact.

我们证明了：欧氏空间中具有常平均曲率和有限全曲率的完备超曲面，或是极小超曲面，或是紧致超曲面。

The weakness of fixed step-size is that step-size is not variable regardless the curvature of each point of the integral curve change or not, which will affirmatively bring serious error in these points that the value of curvature is bigger. And, this kind of error will accumulate in calculating process.

定步长的缺点在于不管是积分曲线的各个点的曲率如何都取一样的步长，这样肯定会在曲率大的一些点带来比较严重的误差，这种误差将在每一步的计算中积累。

So we need consider the effects of the earth curvature. In global integration, the requirement of the data coverage and the computation are comparative high. In this thesis, a moving coordinate system is used to overcome the effects of the earth curvature. And a differential calculation concept is proposed that assumes the difference of geoid calculated between the central point and its marginal point is constant when the integration area is far away from the central point.

论文中提出了利用柱体积分时采用移动坐标系来顾及地球弯曲的影响，并利用差分的概念，设想离计算区域到一定距离后，流动点对计算区域内的中心点和边缘点的影响之差为一常数，并用试验的方法，统计分析了它们对大地水准面的有效积分拓展范围。

In this paper we will mainly study the gauge fixing Yang-Mills heat flow of a principal bundleFor a principle bundle with a compact seme-simple Lie group as its structure group over a compact Riemannian manifold without boundary, the evolutions of the curvature and its higher derivatives under the flow above will be derived, and the energy inequality and the Bochner type estimates will be obtained. Then, the monotonicity formula and the small action regularity theorem can be proved. We will give the locally uniform estimates for the higher derivatives of the curvature.

本论文主要讨论主丛上的规范固定Yang-Mills热流我们在紧致无边黎曼流形上的以半单紧致李群为结构群的主丛上，推导了在规范固定Yang-Mills热流下曲率及其高阶导数的演化方程，得到了该热流的能量不等式和Bochner估计，由此可推出单调性公式和小作用量正则性，以及曲率各阶导数的局部一致估计。

In this thesis, we study stable and complete submanifolds with constant mean curvature and some L~p-norm curvature in Euclidean spaces and hyperbolic spaces.

在本文中，我们较系统的研究了欧氏空间和双曲空间中具有常平均曲率和某一有限L~p范数曲率的稳定完备子流形。

Aimed at the feature of footprint range image, the paper has defined the concept of the form index and proposed the segmentation method based on the mean curvature and Gaussian curvature.

本文针对足迹深度图像的特点，定义了形状索引的概念，提出了一种基于高斯曲率和平均曲率的分割方法。

Then, the first and second fundamental forms, Gaussian curvature and mean curvature of the surfaces are directly calculated according to the principles of differential geometry.

首先，根据微分几何中的基本知识，得到了该种度量形式下的平移曲面的第一、第二基本形式以及高斯曲率和平均曲率；然后，主要利用高斯曲率和平均曲率之间的线性关系和平方关系，得到了这类平移曲面的分类定理。

We can regard the narrow gauge mine car and the level man car as a evolution of the inclined-shaft man car ,the computing methods of the radius of curvature between them are same,so the study of the passing radius of curvature for the inclined-shaft man car is of great significance,which will produce far-reaching effect for design,test,research and development of the man car and the gauge car.

矿用窄轨矿车和平巷人车可以看成是斜井人车的一种演变，其曲率半径的取值方法同斜井人车的曲率半径取值方法基本上是一致的，所以斜井人车所能通过的曲率半径的取值方法的研究有着重要的意义，对人车和窄轨矿车的设计、检测检验、研发也有着深远的影响。

The results show that structure curvature is negatively related to coalbed gas content,relative gas emission rate,outburst gas and coal amounts which reflect No15 coalbed of Ji is above the neutral plane of folds.That is,the No15 coalbed of Ji Group is compressed in incline and is tensed in anticline,and the higher structure curvature is,the higher stress is.

结果表明，构造曲率与瓦斯含量、瓦斯相对涌出量、突出瓦斯量、突出煤量呈负相关关系，反映研究区己15煤层位于褶皱中和面以上，即煤层在向斜轴部受挤压而背斜轴部受拉张，正曲率值反映煤层受到拉张应力作用，负曲率值反映煤层受到挤压应力作用，曲率绝对值越大，受力越大。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。