曲率形式

This pepediscusses compact submanifoldsoftheunit sphere Study is made on conditions ofsubmanifolds with parallel mean curvature vector,submanifolds with flat normal bundle and pseudo-umbilical submanifolds to be umbilical respectively.

本文讨论球的紧致子流形，研究具平行平均曲率向量的，具平坦法丛的、以及伪脐子流形成为全脐子流形的条件，得到几个关于第二基本形式长度千方S的pinching条件。

Structure form adopts converse triangle beam double-hole connection welded by general electric trolley wall plate and steel plate, connection shaft, triangle beam bottom is connected with girder by nut and thrust bearing, triangle beam could rotate 360 degrees horizontally, thus realize whole set electric trolley horizontal rotation, largely reduce curve track curvature radius of electric hoist traveling mechanism.

描述： 结构形式采取通用电动小车墙板与一个钢板和连接轴组焊的倒三角形吊梁双孔连接，三角吊梁下面通过螺母及推力轴承与一个横梁连接，三角吊梁相对横梁可在水平方向做360度旋转，从而实现电动小车的整体水平方向转动，大大减小了电动葫芦运行机构弧形轨道曲率半径。

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。

Then we give the linear expression of,by f,g.h:=-f;=ρ·g,here ρ is the Gauss curvature of the Riemann manifold,wealso give the geomety explaination and geometrical pattern of these expressions.

给出了与对于f，g，h线性分解的形式。＝-f；＝-ρg，这里ρ是曲面的高斯曲率。并给出了各自几何意义的解释与图示。

The abc are to get the generic "default parameters" for use in the comparison program CONTRAST which aligns protein sequenes based on their 3D-structure, to confirm the efficiency of the differential -geometric representation of protein backbone by comparing 3 different algorithms of the curvatures and tortions, and tO find apropriate gap penalty function.

中国科学院上海生物化学研究所，上海 200031摘要：继前面的工作把测试蛋白从三族扩大到十一族，寻求联配参数的普适"缺省值"；比较不同的主链曲率和挠率的计算方法，进一步确认主链的折线线分几何刻划方法的有效性；寻找有效的可变缺失突变惩罚函数的形式。

In this paper, we mainly study the gap of the second fundamental form of hypersurface with constant mean curvature in the unit sphere.

本文主要研究了单位球面内常平均曲率超曲面的第二基本形式模长平方的间隙性。

Then the influence of the different Coanda surface shapes including the circle, elliptical and logarithmic spiral TE geometries on the performance of the circulation control airfoil were investigated.

在此基础上研究了具有圆、椭圆和对数螺线形式柯恩达表面的环量控制翼型性能的变化，初步探讨了射流层附壁与高曲率表面特征参数的关联。

In the last part of this dissertation, we discuss how to model an image is discussed and how to segment an image by EDEK.Zero-Cross principle is a classical concept in signal processing. We generalize the concept to be zero normal curvature after the geometry frame built. Furthermore, we present the explanation to choose the dual parameters in SPMVIF. And we research why the Laplacian gradient superior to edge gradient.

梯度方向二阶导数过零原理是信号处理中的经典结论，在运用微分几何的知识建立SPMVIF的几何框架的同时，将这个结论推广到零-法曲率的形式；另外我们对SPMVIF的双参数选取规则进行了讨论并给出它们的几何意义，并且对SPMVIF中法向矢量选取时拉普拉斯梯度优于边缘图像梯度的结论给予统计信息熵的解释。

We prove that thecontributions of the quadratic combinations of the extrinsic curvature of the horizon arezero by defining a pair of vectors which orthogonal to the event horizon and dual to oneforms.

计算表明：当取一对与视界面正交且与1-形式对偶的矢量后，视界外曲率的二次项对熵的贡献项为零。

The quadratic patches is fixed,and its parametric representation method is gained.The cubic patches reduce to three local factors through reducing Bernstein coefficients to control shape of curve,two of them are used to join segments into G2- continuity approximating curves for given sequence data in space,and the other is used to adjust shape of segment.

先固定二次曲面片，并得到其参数形式，然后约简三次曲面片所对应的Bernstein系数，使之为带有三个形状调整的形状因子，其中两个分别代表曲线段端点处的曲率，另外一个作为形状的调整。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。