查询词典 lateral curvature

Let x be an immersion of a compact Willmore surface M into the n-dimensional unit sphere Sn. In this thesis we first consider the Willmore surfaces in the unit 3-sphere, and establish an integral inequality for the square of the length of the trace free part of the second fundamental form and the mean curvature.

令x是一个从紧致威尔摩曲面M到n 维单位球面Sn的浸入，在本论文中我们首先考虑3维单位球面中的威尔摩曲面并建立一个包含第二基本型式迹为零部份的张量长度平方与平均曲率之积分不等式。

In Chapter2, we first study the existence of Chebyshev coordinates of time-like (or space-like) submanifolds with a constant sectional curvature in N〓. Afterwards, we generalize the classical Backlund theorem for space-like (or time-like) submanifolds in N〓 and N〓.

在第二章中，首先我们研究了伪黎曼空间形式N〓中常曲率类空子流形的Chebyshev坐标的存在性；然后把经典的Backlund定理推广到高维的伪黎曼空间形式N〓和N〓中。

The effects of curvature radius R of the cylindrical shell with circumferential semielliptical surface cracks on stress intensity factors K_Ⅰ are investigated.

本文探讨了含周向内、外半椭圆表面裂纹圆柱壳体的曲率半径对其应力强度因子K_1的影响。

We use Browian dynamics to study the elasticity of a semiflexible biopolymer with spontaneous curvature under a uniaxial force at finite temperature.

我们利用布朗动力学研究了在有限温度下具有自发曲率的二维半柔软生物高分子的力学性质。

Using staircase concatenation method SCM,the optimum coupling conditions were achieved for wedge-shaped fiber wedge angle,cylindrical endface lens curvature radius,semimajor axis of planar lightwave circuit elliptical field,aspect ratio of planar lightwave circuit elliptical field,misalignment tole.

在多量子阱-平面光波光路前置模斑转换器和不加模斑转换器的情况下，用阶梯串联法数值模拟并优化设计了楔形光纤-平面光波光路间最佳耦合参量：楔形光纤楔角45°、端面圆柱透镜曲率半径2。

The coupling between twisting and bending deformations and the influence of ionic concentrations to DNA intrinsic curvature are semiquantitatively studied and compared with experimental observations.

文章对缠绕形变与弯曲形变的耦合关系以及自发曲率与溶液离子浓度的关系都进行了半定量的讨论并和实验观测进行了比较。

The proposed method can reconstruct curves from data set with arbitrary topology, such as simply connected, multiple connected and closed scattered points, keep the shape characteristic of point set well, especially in the segments with high curvature, and provide effective methods and technologies for the screw reconstrucion.

因此最短路逼近算法有效地解决了单连通、多连通和封闭的数据点集的曲线重建问题，较好地保持了数据点集的形状和走向，尤其是带尖点的数据点集的形状特征，为旋转面、螺旋面和可展曲面面的重建提供了有效方法和技术。

I've traveled aboard rigs ranging from a 53-foot "round-bottom" shrimper to a 16-foot Chaland crab boat, eating Cajun red beans and rice and shrimp boulettes cooked in tiny galleys by deckhands along the way. I've floated past old bayou swing bridges activated by hand-guided ropes and steamed out into marshland so vast it stretches beyond the Earth's curvature with flocks of roseate spoonbills dotting the sunset horizon.

我坐过各式各样的船﹐从53英尺的圆底捕虾船到16英尺平底捕蟹船﹔途中吃船员在狭窄的船上厨房做的凯均红豆米饭和虾球﹔我穿过老旧的缓流溪旋桥﹐开启是用绳索﹔我也坐过汽艇﹐进入广阔的沼泽区，一望无际﹐延伸到天边，玫瑰色的篦鹭是落日地平线上点缀的圆点。

Using the information obtained from the study of these normal variations of vertices near a sharp edge or a high curvature area of the target space to detect features.The watermarks embedded by using the method can be detected,to some extent,after such attacks as cropping, simplification,similarity transformation,and additive random noise applied on the watermarked point set model.

最后对已加水印的点集模型应用不同的攻击，比如剪切、简化和附加随在特征点附近嵌入水印信息机噪声之后，结果显示通过这种方案嵌入的水印，在某种程度上仍可以被检测到。

This dissertation studies some topics in soliton and integrable system,which mainly include as follows:exact solutions especially travelling wave solu-tions and solitary wave solutions,Painlevēproperty,transformation,similarity reduction,symmetries and their Lie algebra structure,generation ofsoliton hierarchy and their zero curvature representation,Hamiltonian struc-ture,Lax or Liouville integrability,nonlinearization of Lax pairs,applications ofWu's method and symbolic computation.

本文研究内容涉及到孤立子和可积系统的多个方面：精确解特别是行波解和孤波解，Painlevē性质、变换、相似约化、对称及其Lie代数结构、孤子族的生成及其零曲率表示，Hamilton结构，Lax和Liouville可积性、Lax组的非线性化以及吴方法和符号计算在上述研究中的应用。

Dixie itself is a nickname for the American South.

Dixie 本身是美国南部的别称。

I think John Terry epitomises that and a big reaction is what we will be looking for.

而我认为特里就是这样一个典型，他正是我们期望看到的那个领秀。