查询词典 mean curvature

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

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。

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。

This paper reported a new method using tangential curvature to establish a mathematical model of the anterior cornea and an analysis of the regularity of the distribution of the asphericity Q. The curvature in the horizontal meridians is a prolate ellipse. The curvature in the vertical meridians is an oblate ellipse. The curvature of the horizontal meridians is important for anterior corneal asphericity.

本研究分析了运用正切曲率半径值建立人眼前表面角膜数学模型的科学性，显示角膜前表面水平子午线方向非球面性趋向于长椭圆，垂直子午线方向非球面性趋向于扁椭圆，说明人眼角膜的非球面性特性主要由水平子午线实现。

In addition, we made account for the selection of inverted bending curvature of pipe axis and the length of equal curvature region, and pointed out that we can only equalize the curvature in the equal region and carrying out straightening really is in the region of unequal curvature. This is the development and perfect of bending straightening theory and this method can spread to bar straightening machine.

此外，还对反弯曲线曲率和等曲率区长度的选取作了说明，指出在等曲率弯曲区只能使曲率均匀化，而真正实现矫正是在后部的非等曲率弯曲区，这是对矫正理论的深入和完善，并且这一研究方法也可推广到棒材矫正机。

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, a "rigid bar relative movement model" was established to illustrate the traces of the helices in wire ropes. The angular speed of a moving particle of the model was relatives to curvature tensor to derive the curvature components and torsion of helices in multi-layer wire ropes. According to long and thin rod theory of Love and Yen-Chen's theoretical model considered the contact force and frictional force, the force-deformation or force-strain relative of wire in curved wire ropes subjected axial force is derived from the curvature components and curvature increment.

本研究改以刚杆相对运动模型，直接描述钢索中钢绞线轨迹，并且透过角速度类比曲率张量之概念，推导圆弧型多层钢索内部之钢铰线之曲率分量与扭率；之后再依据Love的细长杆理论，辅以Yen-Chen在考虑接触力及摩擦力下所修正之理论模型，以曲率及曲率增量来探讨圆弧型钢索受静态荷重作用下，钢绞线之受力与变形或应变关系。

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。