查询词典 Riemann

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。

Riemann integral can not be used in every limited function to get its definite integral.

因此，并不是每一个牛顿不定积分都可进行黎曼积分，并不是每个黎曼积分都存在牛顿不定积分，黎曼积分也并不能对每一个有界函数求定积分。

This article discusses the analyzing nature of Dirichlet function and Riemann function .

本文讨论了狄利克雷函数、黎曼函数的分析性质。

In the present article, the nature analysed for Dirichlet function and Riemann function is discussed, the role of these functions in the mathematical analysis is demonstrated, and some applications of these functions are given.

本文讨论了狄利克雷函数、黎曼函数的分析性质。并展示了这些函数在数学分析中所起的作用。并且给出了这些函数的一些应用。

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。

In this paper, the author estimated the module of quasiconformal mapping in curved fan, by the expression of local maximal dilatation function of quasiconformal mapping, Riemann′ s existence theorem and extremal length method, the author obtained a result of moduler deviation on curved fan.

本文对曲边扇形内的拟共形映照的模进行估计。借助拟共形映照的局部最大伸张函数来表达，利用黎曼存在定理和极值长度方法，得到关于曲边扇形的一个模偏差定理。

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。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。