查询词典 Riemann function

In this paper, we consider the properties of so_called N_analytic functions , integral formula of Cauchy type and the problem of Riemann boundary value.

研究了N 解析函数的性质、Cauchy型积分公式及相应的Riemann边值问题，然后将其结果应用到一类奇异微分—积分复方程的可解性理论中，建立了其特征方程解的积分表示式。

From getting fire by drilling the wood to nuclear power, from Euclidean Space to Riemann Space, from description of the macroscopic and low-speeded movement in Classical Mechanics to the statistical wave functions description of microscopic and high-speeded movement in Quantum Mechanics, the innovation progress of Physics is just as always.

从钻木取火到核力发电，从欧几里德空间到黎曼空间，从经典力学对宏观低速物体的直观认识到量子力学对微观客体的波函数统计描述，物理学一如既往地在不断创新当中。

They include the fundamental concepts of jet bundle geometry needed in describing time-dependent mechanical systems, decomposition of jet bundles into a direct sum according to the constraints, horizontal distributions on constraint mainifolds, the global formulation of D'Alembert-Lagrange's equations and Chaplygin's equations, and nonholonomic mechanics on a Riemann-Cartan manifold. Meanwhile, the geometric significance of Chetaev's conditions and $\rd$-$\delta$ commutation relation are discussed in depth.

本文主要综述非完整约束系统几何动力学的外附型和内禀型Lagrange理论，包括非定常力学系统所需要的射丛几何学的基本概念、射丛按约束的直和分解、约束流形上的水平分布、 D'Alembert-Lagrange方程与Chaplygin方程的整体描述、以及Riemann-Cartan流形上的非完整力学，文中对Chetaev条件和d-δ交换关系的几何意义作了深入讨论。

As the example, robot mechanism is considered, including the topology graph representation. compotation of the mathematical model. This method based on Riemann geometry with simpler formulation is more suitable for computer-aided modeling and dynamic analysis.

讨论了机器人系统的拓扑图表示和动力学模型计算等，与已有的机器人动力学分析办法相比，基于黎曼几何和拓扑图表示方法的动力学分析更加简便，更加适合机器人动力学机械化建模。

In Riemannian manifolds, one studies Riemannian metric, covariant derivative, Riemannian connection, basic properties of the Riemann curvature tensor, curvature forms etc.

黎曼流形部分主要涉及黎曼度量，黎曼流形的定义，切向量场的协变微分，黎曼联络，黎曼几何的基本定理，曲率张量，曲率形式等概念和理论。

Vector analysis, Dyads, index notation, covariant and contravariant derivatives, Christoffel symbols, Riemann tensor, hydro-dynamical field equation.

张量及场方程式：三维向量，张量符号，张量微分，克里斯多夫符号，黎曼张量，流体动力场方程式。

Like most university graduates in mechanical engineering, I do not have the sufficient mathematical knowledge to judge major mathematical problems, i.e. Fermat's Last Theorem, Riemann's Hypothesis, Jiang Chun-xuan's proof of FLT, Wiles's in question proof of FLT, or Jiang Chun-xuan's disproof RH, etc.

像大部分机械工程大学毕业生那样，我没有足够的数学知识判断重大数学问题，如费马大定理〔FLT〕、黎曼假设〔RH〕等，以及蒋春暄对于FLT的证明、怀尔斯〔Wiles〕对FLT有问题的证明、蒋春暄对于RH的否定。

By the theory of complex functions, dynamic propagahon problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of serf-similar functions. The problems dealt with can be easily transformed into Riemann-Hilbert problems and their closed solutions are attained rather simple by this approach.

通过复变函数论的方法，对材料的非线性特性下的Ⅲ型界面裂纹Dugdale模型的动态扩展问题进行了研究，采用自相似函数的方法可以获得解析解的一般表达式，应用该法还可以很容易将所讨论的问题转化为Riemann-Hilbert问题，并可以相当简单地得到问题的闭合解，利用这些解并采用叠加原理，就可以求得任意复杂问题的解。

Extremal mappings have been one of the main topics in the theory of quasiconformal mappings, n the section 4, we consider the extremal mappings on the surface Rwhere every Ri is a hyperbolic Riemann surface, Ri Rj =,i j,I is a non-empty indexset.

拟共形映射的极值问题是拟共形映射理论中的又一重要课题，在文章的第四章中，我们将考虑曲面R=U R_i i∈I上的极值问题，其中每个R为双曲Riemman曲面，R_i∩R_j=φ，i≠j，I为非空指标集。

The problems considered can be very facilely translated into Riemann-Hilbert problem by application of the approaches which are resolved by usual Muskhelishvili's methods, and their closed solutions are acquired rather straightforward.

应用该法可以很容易地将所讨论的问题转化为Riemann-Hilbert问题，而后一问题可以用通常的Muskhel-ishvili方法进行求解，并且可以相当简单地得到问题的闭合解。

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制，给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的，他是十年前的世界网球冠军。