曲率

The experimetal results show that the flexural moment of the sample in the prebending direction is far bigger than that in the vertical direction to pre-bending and the spherical shape can be conquered during pre-loading laser peening forming to a great extent.

试验结果表明，在弹性预加载下，板料在弹性预弯方向获得的弯矩要比与弹性预弯垂直方向上的弯矩大得多，弹性预加载下激光喷丸成形可以有效地克服自由状态下激光喷丸件呈球形现象，激光喷丸件的曲率是自由状态下激光喷丸成形曲率的2～3倍；在相同曲率下，弹性预加载下激光喷丸成形件的表面粗糙度比自由状态下激光喷丸成形件的表面粗糙度要低1～2等级，因此弹性预加载下激光喷丸成形要优于自由状态下的激光喷丸成形。

Its amount has relation with acting load. The influence on sectional curvature of bending components is the greatest one, the ultimate curvature of corroding section decrease obviously, and the sectional curvature increases rather sharply with the increase of rust rate during the process of corrosion. The anti-cracking capacity of prestressed bending R. C. components may be damage. For the convenience of engineering usage and damage evaluation of structure, this paper presents a concept of sectional damage coefficient on the foundation of experimental and treatment study.

试验与理论研究均表明，受压区钢筋锈蚀后对普通钢筋混凝土和预应力钢筋混凝土受弯构件的承载力影响均不大，但对构件的正常使用性能有较显著的影响，受压区钢筋锈蚀过程中，截面刚度有较显著的下降，挠度及受压区混凝土压应变随锈蚀量增加而增加，增加值与使用荷载大小有关；受弯构件的截面曲率所受影响最大，锈蚀后截面的极限曲率有明显的下降，在使用荷载作用下，截面曲率则随钢筋锈蚀量的增加而有较显著的增加；而预应力混凝土受弯构件的抗裂度会下降。

The new singular element at the end of a blunt crack is obtained,the new method for calculating stress intensity factors of blunt crack problems is presented.

利用其局部解构造了一种新的大曲率缺口位移模式；建立含大曲率缺口损伤结构有限元方程和与相应的缺口奇异单元；提出了求解大曲率缺口应力与应力强度因子等断裂参量的数值计算方法，数值算例说明本文方法是一种有效的数值计算分析方法。

In the present paper,a sharp inequality is obtained between the Ricci curvature and the squared mean curvature of semi-invariant submanifold s in cosymplectic space forms,and some conditions are reached to make the equality hold.

对余辛流形的半不变子流形进行研究，利用曲率的分量表示之间的简单的代数关系，得到了这类子流形的R icc i曲率与平均曲率平方之间的一个不等式，并讨论了等式成立的充分必要条件

Finally, a method is developed for detecting feature points of the fragment con-tour based on total curvature.

将曲率和挠率相结合得出轮廓曲线上各点的全曲率，然后由全曲率值来检测碎片轮廓的特征点。

Normal vectors, Gaussian and mean curvatures estimation are obtained by different curvatures estimation methods, and the error is computed by comparing estimation results with real ones on the sphere of unit radius and toms.

在单位球面和环面上，利用不同的曲率估计方法得到法向量以及高斯曲率，平均曲率的估算值，再将估算值与实际值做比较求误差。

The surface of image can be looked as a curved surface, and we can simulate a conicoid function in local area. Based on this function we can estimate the gradient and the curvature of the curved surface points, and set proper thresholds of gradient and curvature, we can detect the centre lines of roads with correlative process including removing small areas, area growth, thinning, etc. Lastly through seting proper thresholds of the gradient and the curvature again, the original road junctions can be detected and then verified by the road lines detected formerly.

基于微分几何的道路交叉口识别方法：把影像的灰度表面看作是一个曲面，在局部区域内拟合一个二次曲面函数，通过该函数来估算梯度和曲率并设定合适的梯度和曲率阈值来检测道路中心线，并进行相关处理，例如去除小区域、区域增长、细化等，然后再设定合适的梯度和曲率阈值，检测出初始道路交叉口，并用检测出来的道路来进行确认。

AIM: To compare the difference of keratometric value obtained from Orbscan-Ⅱanterior system、RKT-7700 auto and manual keratometer.

摘要目的：比较Orbscan眼前节系统与RKT-7700自动式角膜曲率计及手动式角膜曲率计测量角膜曲率的差异。

Keratometer was used to check the corneal curve at 2 direction for 3 times to offer the mean K value, and a nearest basal lens to K value was selected as the trial lens.

步骤一：用角膜曲率仪测量角膜曲率，两个方向各测三次，取平均值，得到角膜曲率的平均K值，选取与K值接近的镜片作为试戴片。

Chapter 5 and 6 are concentrated on the fundamental problem how to con-struct finite-dimensional and infinite-dimensional Liouville integrable Hamiltonsystem.Starting from two isospectral problems,Tu's scheme is applied to gen-erate the corresponding CKdV hierarohy and coupled Burgers hievachy,andthey are shown to be Liouville integrable Hamilton systems.Two spectral prob-lems,which contain three and four potentials respectively,are also studied byTu's scheme.Two new Liouville integrable Hamilton hierarchy are estab-lished.A new general approach using Lenard's gradient sequence is presentedto obtain Lax integrable hierarchy and their zero curvature representation,andsome examples are given.The nonlinearization procedure is applied to theeigenvalue problem of coupled Burgerrs hierarchy.It is shown that underBargmann constraint,the spatial part of the Lax pairs is nonlimearized to be afinite-dimensional Liouville completeiy integrable Hamilton system.

第五、六章研究如何从一个谱问题出发构造可积发展方程族及其零曲率表示、Hamilton结构和判断Liouville可积性：通过对二类具有2个位势的等谱问题直接研究，利用屠格式生成了耦合KdV族和耦合Burgers族，并证明它们均为Liouville可积的广义Hamilton方程族；而通过分别具有3个和4个位势的等谱问题，遵循屠格式构造了二族新的Liouville可积的广义Hamilton方程族；给出了利用Lenard梯度递推序列产生发展方程族及其零曲率表示的一种方法，作为应用，讨论了CKdV族，BPT族及耦合Burgers族的产生及其零曲率表示；应用非线性化技巧，证明了在Bargmann约束下，耦合Burgers族的Lax组可被线性化为Liou-ville完全可积的Hamilton系统。

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。