曲率

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。

In chapter 4 and chapter 5 we focus on spheres with positive sectional curvatures.

在第四章和第五章中我们重点考虑正截面曲率的球面。

In chapter 3, we calculate the self-absorption properties of the synchrocurvaturc radiation.

在第三章，我们给出了同步曲率辐射的自吸收系数。

We also give the synchrocurvature radiation spectrum in plasma and explore the effects of plasma on its self-absorption properties.

虽然在真空中同步曲率辐射与同步辐射一样没有负吸收放大作用，但等离子体对辐射谱和自吸收性质有重大影响，在考虑活动星系核等天体中等离子体的辐射问题时必须考虑。

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。

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。

Several representations of numerical simulation, such as induced curvature, the conditions of first—type limit, second—type limit and singular solution, are presented under continuous and differential conditions. A new system of numerical simulation, which is relative as well as independent to traditional theory, is established.

利用现代微分几何学的活动标架方法对共轭曲面的数学仿真原理进行了深入研究，给出连续可微条件下，共轭条件、一、二类界限条件，奇解点条件及诱导曲率的仿真描述，建立了与传统理论既相联系又相互独立的数字仿真原理新体系。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。