查询词典 mean curvature of surface

In addition, some modifications on several computational methods are also presented. Using LMTO method the electronic structure of several systems are studied, and some results are obtained. They are: The ideal Nb (100) surface has three surface states, the multi-layer relaxed surface has two surface states. The surface energy of the ideal surface is higher than that of the relaxed surface, that means that the multi-layer relaxed surface is more stable than the former one, which supports the LEED results. The mono-layer relaxed Ag (111) surface is the most stable one among several" stable surface models"presented by several researchers. The surface energy of Ag (111) surface is higher than that of surface Ag (001), which supports some experimental results such as different reaction rate at different surface orientations for the same material. The surafce states of Si (111) surface not only locate near the Fermi level, but also in the valence band, which agrees well with Cohen's conclusion. Si (111)-H is an effective model for analysing the surface states and H adsorbed on the back surface is a good method for improving the convincingness of the results obtained on thinner slab models. The surface stability depends on three different kinds of MoSi〓(001) surfaces, the surface with mono-layer Si is the most stable one, and the surface with Mo at the first layer is the most unstable one among them. These are consistant with the Kemoda's experimental results. The valence bands of clean or K adsorbed CdTe (111) surface agrees well with the synchrotron radiation studies. The surface of CdTe (111) consists of four kinds of surface models which show different surface electronic structures and different surface structure stabilities. The conclusion agrees well with Wu's experimental work. The different absorbed alkali metals on the CdTe (111) surface give different adsorption characteristics which have relations not only with the valence electrons, but also with the core ones of the alkali metals. The electonic structures of Si-C alloys are different from that of Si-Ge alloys, and the energy band gaps of Si-C alloys do not increase linearly with Carbon concentration, our conclusion supports Alexander's results, but conflicts with Soref's one.

现分述如下： LMTO方法及其应用方面：1）通过对Nb（100）表面电子态分析发现清洁理想表面有三个表面态，多层弛豫表面有两个表面态；表面能大小说明多层弛豫表面更稳定，支持了LEED结果。2）通过对采用不同方法获得的几种不同Ag（111）表面稳定结构的表面能计算分析，给出了单层弛豫表面为Ag（111）表面的最稳定结构；从Ag（111）单层弛豫表面和Ag（001）表面的表面能比较，发现了Ag（001）表面表面能要比Ag（111）小的，表明了同种物质不同表面取向将表现出不同物理、化学性质，这是与实验中得出的结论是吻合的，3）通过对Si（111）表面态分析，不仅发现了Si（111）表面不仅具有居于费米能级附近的悬挂键所对应的表面态，而且还有很多表面态位于价带能量范围内，与Cohen等结果一致，H饱和slab模型背表面相当于增加了slab层的厚度，是一有效的变相增加slab层厚的方法，弛豫表面较清洁理想表面价带谱们低能端的少许移动，预示着总能降低，说明弛豫表面较清洁理想表面稳定。4）MoSi〓具有三种表面，从费米能级上态密度值大小得到单层Si表面最稳定，Mo原子为表层原子的表面最不稳定，双层Si原子表面居中的结论，这与Kemoda等人实验结果是一致的。5）通过对CdTe（111）表面表面电子态、表面结构稳定性及表面H、碱金属吸附的电子结构系列研究，不仅得出了CdTe（111）清洁及碱金属K吸附价带谱与同步辐射光电子谱相吻合的结果，而且发现了CdTe（111）表面具有四类不同原子近邻特征，表现出四类不同的表面结构及电子结构特征：不同表面态分布、不同的表面结构稳定性（表层原子与次层原子成三键有一悬挂键的表面要比表层原子与次层原子成一键有三悬挂键稳定（与Wu等人实验结果一致））、不同的H吸附特性。

Some properties of inversions are proved, It indicates that the inversion is conformal, the image of line of curvature is still the line of curvature of the inversion S of the hypersurface S, the principal curvature, the total curvature, and mean curvature of S are the functions...

在n-1维超曲面的反图变换中，示明反图变换为保角表示法，曲率线系的反影仍为反超曲面的曲率线系，反超曲面的主曲率，全曲率与平均曲率为原超曲面的主曲率的函数等。 3。最后导出公式(1)在四维空间与通常空间之特殊形式

The paper deals with curvature line and curvature characteristic of developable surface based on differential invariant of developable surface and it details curvature line and curvature characteristic of cone and tangent surface .

本文通过可展曲面的微分不变量，导出可展面的曲率线与曲率特征，并以锥面和切线曲面为例阐明这些特性的几何意义。

In this paper, we will study the definination of lines of curvature and the correlative conception, for example, normal curvature, principal direction and principal curvature and so on, the connection of lines of curvature and correlative conception, especially probe into the solution with the equation of lines of curvature and the equivalence with its determinant theorem.

本课题主要研究曲率线的定义及其相关概念如法曲率、主方向、主曲率等，曲率线与相关概念的关系，重点探讨了曲率线方程的求解及曲率线判定的等价定理。

Compared with control,①the mean tumor weight of H22 of SXKA Granules three dose groups were decreased significantly(P.01,P.05),and the mean inhibition rates of SXKA Granules 20、10 g/kg dose groups were above 30%;②the mean tumor weight of S180 of SXKA Granules three dose groups were decreased significantly(P.01),and the mean inhibition rates of SXKA Granules 20、10 g/kg dose groups were above 32%;③the mean tumor weight of EAC of SXKA Granules three dose groups were decreased significantly ( P.01, P.05),and the mean inhibition rates of SXKA Granules 20 g/kg dose groups were above 38%;④the mean tumor weight of Lewis carcinoma of SXKA Granules three dose groups were decreased significantly(P.01, P.05),and the mean inhibition rates of SXKA Granules 20、10、5 g/kg dose groups were above 36%;⑤the mean tumor weight of W256 of SXKA Granules three dose groups were decreased significantly ( P.01, P.05),and the mean inhibition rates of SXKA Granules 20、10 g/kg dose groups were above 32%;⑵Compared with control,SXKA Granules 20、10 g/kg dose groups had extended the survial time of the P388-bearing mice respectively(P.01),and the mean prolong rates of SXKA Granules 20、10 g/kg dose groups were above 50%;⑶Compared with S180-bearing group, SXKA Granules 20、10 g/kg dose groups could increase the weight of thymus and spleen, Spleen index and thymus index were increased, SXKA Granules 5 g/kg dose group could increase thymus index(P.05);⑷As Compared with control group, SXKA Granules 20、10 g/kg dose groups could improve mouse serum half hemolysis value depressed by transplanted tumor dramatically(P.01), which revealed the SXKA granules could improve the mouse humoral immunity system;⑸SXKA Granules 20 g/kg dose group could increase of englobe indexαon S180-bearing mice remarkably(P.01), which indicated the SXKA Granules could improve their cellular immunity system.

对荷W256大鼠，生兴克癌冲剂20、10、5 g / kg三组的平均瘤重明显低于对照组(P.01，P.05)，生兴克癌冲剂20、10 g / kg组的平均肿瘤抑制率均大于32 %；⑵与空白对照组相比，生兴克癌冲剂20、10 g/ kg能显著地延长移植小鼠白血病P388小鼠的存活天数(P.01)，生兴克癌冲剂20、10 g/ kg对荷白血病P388小鼠生命延长率均在50%以上；⑶与S180荷瘤组相比，生兴克癌冲剂对荷瘤鼠的免疫器官重量、胸腺指数和脾指数有一定的提高趋势，其中生兴克癌冲剂5 g / kg组对荷瘤小鼠的胸腺指数有一定的提高作用(P.05)；⑷与S180荷瘤组相比，生兴克癌冲剂20、10 g /kg组可提高由荷瘤引起的小鼠血清半数溶血素值的降低(P.01)，表明其可提高荷瘤小鼠体液免疫功能；⑸与对照组相比，生兴克癌冲剂20 g /kg组可提高荷S180肉瘤小鼠的免疫吞噬系数α值(P.01)，表明其可提高荷瘤小鼠细胞免疫功能。

In the research of techniques in curved surface reconstruction and feature extraction, the modeling of NURBS interplation curved surface based on rectangular is focused, in which centripetal parameter is applied to construct node vector, the application of interplation method guarantees the accuracy of curved surface construction, bicubic NURBS curved surface is taken as an example to demonstrate the process of curved surface modeling, and the effectiveness of NURBS is approved in application; Meanwhile, the application of feature techniques in reverse engineering is also diSCUSSed, the recognition and extraction method of feature curved surface are investigated, the relationship between feature recognition and the curvature of curved surface is discussed, with the application of linear and non-linear least squares procedure, data fitting of conicoid in ball surface, cylinder surface and cone surface is

以上述的研究工作为基础，根据企业的实际需求选定轻客和重卡作为研究对象完成了基于反求工程的车身改型设计和优化的工程实践，通过工程实践对反求工程各关键支撑技术进行了验证，所开发的新车型也获得了良好的市场反应。

After analyzing the curvature of the forming surface and the relativ emotion between the forming surface and the curved tooth surface during envelope tooth cutting,the authors work out the equations for calculating the induced normal curvature and geodesic deflection,the principal curvature and direction of the tooth surface of this kind of circular-arc gear .

通过对产形面曲率和包络切齿时产形面与齿曲面相对运动关系的分析，推导出双向圆弧齿轮齿面的诱导法曲率、诱导短程挠率和齿面的主曲率、主方向等计算公式。

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。

Researches the submanifolds in nested space,for constant curvature Riemannian submanifold in quasi-constant curvature manifold and pseudo-umbilical submanifold with parallel mean curvature vector in constant curvature Riemannian submanifold,presents three sufficient conditions for this pseudo-umbilical submanifold to be total-umibilical submanifold,generalizes the result of JI Yongqiang.

对于拟常曲率流形中的常曲率黎曼子流形以及常曲率黎曼子流形中具有平行中曲率向量的紧致伪脐子流形，给出了这种伪脐子流形是全脐子流形的3个充分条件，推广了纪永强的相关结果。

Then, based on the mean curvature, Gaussian curvature and the function of principal curvature, the minimal loci of the principal normal surfaces of curves, the curves with constant Gaussian curvature and the two curves of which the ratio of their functions is constant can all be obtained, as well as the properties of geodesic curve and lumbar curve.

再根据平均曲率、高斯曲率及主曲率函数，能得到曲线的主法线曲面的极小轨迹、常高斯曲率曲线及两个主曲率函数之比为常数的曲线。还给出曲面上测地线和腰曲线的性质。

The circulation, consumption and reproduction of the trilogy have not only testified to its historical significance and literariness, but also invested it with new meanings.

该三部曲的流通、消费与再生产不仅验证了其历史意义及文学性，而切还赋予它以新的意义。

If he thought that he could buy me off, he would be wrong.

如果他认为他可以收买我，那他就大错特错了。