曲率

Negative radial electric field always associate with edge ion loss or separation of ions and electrons in same layer.

通过大量分析各种装置H-模的产生条件及其差异性，诸如装置磁场位形、等离子体与壁或限制器的间隙、第一壁条件、离子梯度磁场和曲率漂移方向等因素，研究它们与负径向电场或者说与边界离子损失的关系，认为在环形磁约束装置中电子基本上沿磁力线或磁面运动，而离子由于受梯度磁场和曲率漂移的影响大，有横越磁面的运动分量，会产生相对于磁面的扩张轨迹和压缩轨迹。

Objective: To evaluate the normal value of radius of corneal curvature of the 3～15 years old children, and the difference in sex and age.

目的：探讨3～15岁儿童正视化过程中角膜曲率半径变化规律及其正常值以及不同性别、不同年龄段角膜曲率差异。

For getting the major characteristic edges without confusions by undesired structures like muscle edges, we integrate a star-like edge detection filter named "Asterisk Filter" with the Canny Edge Detection in the image preprocessing. In addition, we also propose a new contour tracking method named "One-Pixel Rolling Ball Contour Tracking" for getting the boundary information in a binary image which is a link-list data structure. Instead of using a regression curvature estimator, PCA is used for better curvature estimation from a discrete bony contour.

为了从影像上取得骨头特徵边缘，将不重要的肌肉视为杂讯滤除，我们引用一种星形滤波器－Asterisk Filter，搭配Canny边缘检测法，做为这类影像的前处理；另外，为了将骨头的边缘精确地追踪出来，我们提出滚球边界追踪法，来对二值化影像进行边缘追踪，藉此获得边缘的串列资料结构；我们采用以主成分分析(Principle Component Analysis，简称PCA)取代原本以回归方法来计算的曲率，以取得更佳的曲率估测值，其可提高计算之参数的准确性。

If we consider a space uniformly filled with masses, as, for example, our space is filled with stars, galaxies and clusters of galaxies, we must conclude that, apart from localized large curvatures near particular stars or galaxies, space should possess an overall curvature due to the combined effect of all the masses- a regular tendency to curve uniformly over large distances.

如果我们考虑一个空间，被不均匀的质量块填充着，比如说，像我们的空间，被恒星、星系、和星系团填满，我们得出这样一个结论：除了局部在特殊的恒星或星系附近曲率很大的地方外，由于所有的质量块共同作用，空间应该有一个总曲率-一个在远距离上连续而不均匀的弯曲的趋势。

At the every relative momentary point of time time-space, is to the situation of observe identity mutuality gravitation and space-energy quantum spatial measurement cosmic energy at relatively determine, namely to the difference of quantity quantum of the original spatial measurement and the spatial measurement limit of cosmic energy, to the quantity of quantum spatial measurement cosmic energy, to the situation of spatial measurement and spatial curvature relative time-space cosmic energy, to the difference of spatial measurement of the gravitation exceed the space-energy of quantum spatial measurement cosmic energy, to the situation of the average density spatial energy and the temperature spatial background of relative time-space cosmic energy, to the situation of spatial measurement and spatial curvature relative vacuum cosmic energy all at relatively determine.

在时空时间的每一个相对时刻点，是对宇宙能量的宇称量子的引力与空间能的守恒状况的相对确定。即是对宇宙能量的原初宇称量子与极限宇称量子的数量差，宇宙能量的宇称量子数量，宇宙能量的相对时空的宇称及空间的曲率状况，宇宙能量的宇称量子的引力大于空间能的宇称差，宇宙能量的相对时空空间的能量平均密度及空间的背景温度状况，以及对宇宙能量的相对真空的宇称及空间的曲率状况全都在相对地确定。

Reynolds number of impingement, inclined jet angle, the ratio of the jet distance to the diameter of the jet hole and the relative curvature (the ratio of the diameter of jet hole to the diameter of concave surface) were changed to study the rules of flow structures varying with these parameters. At the same time, the developing and disappearing phenomena of the induced vortex were analyzed.

通过改变冲击雷诺数、冲击角度、相对冲击间距（冲击间距和冲击孔直径之比）以及相对曲率（冲击孔直径同凹面靶板直径之比）等参数，分析了受限空间中，斜向冲击曲率表面后产生的涡系结构及其发展和变化规律。

We get some results about the scalar curvature of 2 and n(n≥3)dimensions Einstein manifold :ρ Maybe is constant and ρ is constant, the relation between Einstein Manifold and Riemannian Manifold with constant sectional curvature.

本文对其有关性质进行了讨论，得到了2维和n(n≥3)维爱因斯坦流形的数曲率的一些结果：ρ可能为常数和ρ为常数，以及爱因斯坦流形与常曲率黎曼流形之间的关系

By using techniques from robust statistics, we obtain the approximations of the underlying surfaces. This leads to a conceptually good local patch with precise geometry properties, and as a result, the influence of noises is reduced. In addition, we also present a diffusion method to smooth the geometry properties, including principle curvatures and Frenet frame. The method ensures that the surfaces are smooth in the curvature space, and maintain the details, features and optimize the normals. The results show that, even in a high level noise situation, our algorithm can remove noise effectively, and at the same time keep the details of the model.

与传统的双边滤波去噪算法不同，该算法通过引入鲁棒统计理论获得模型表面较为准确的几何属性；进而在曲率空间中对包含主曲率和Frenet标架的表面几何属性进行各向异性的滤波，既有利于保持模型的细节，又能保证曲面的光滑性；与此同时，优化各个顶点的法向；最后在优化后的几何属性引导下，在几何空间中进行高阶双边滤波去噪。

In this article,we mainly study the space-like submanifolds with parallel mean curva-ture vector,constant scalar curvature or constant square length of the second fundamental form,respectively.We obtain some pinching theorems and rigidity results by estimating Laplace of the square length of the second fundamental form of the such submanifolds and using yaus maximum principle or Stokes Theorem.

本论文主要研究de Sitter空间中具有平行平均曲率向量、常数量曲率或第二基本形式模长平方是常数的三类类空子流形，并通过分别估计三种情形下子流形的第二基本形式模长平方的Laplace，利用Yau的极大值原理和Stokes定理，获得了这些子流形的一些拼挤定理和刚性定理。

Using the mathematical tool"DifferenceGeometry",it is possible to define the discrete geometric metrics such as discretefirst fundamental form,discrete second fundamental form,discrete unit mainnormal vector,discrete Gauss curvature,discrete mean curvature and discreteLaplacian.

首先，运用"差分几何"这一工具，可以构造离散第一、第二基本形式，离散单位主法向，离散高斯曲率，离散中曲率等离散几何量和离散Laplace算子。

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。