查询词典 Riemann

Which introduces kids and their extension to the primary form of the Riemann integral forms can store and then to be accumulated under the Lebesgue integral form and find the links between these three forms of proof and provement.

其中主要介绍不等式的初等形式及其推广到Riemann可积下的积分形式，然后到Lebesgue可积下的积分形式，并寻找这三种形式之间的联系和证明

Firstly,the article theoretically expounds the superiority of Lebesgue Integral ,then through the detailed cases analyzes its superiority shown in the practical application compared to Riemann Integral.

文章首先从理论上阐明勒贝格积分的优越性，然后通过具体实例详细探讨勒贝格积分相对于黎曼积分，在实际应用中体现出的巨大优越性。

After constrcting the perfective space , prove that this space is just the space of lebesgue integratiable function , thus explain that lebesgue integral is the form of the perfective riemann integral

在构造了完备化空间之后，证明了该空间就是勒贝格可积函数空间，从而说明了黎曼积分的完备化形式是勒贝格积分。

By using of the related theory, some important limit theorem s of Directly-Riemann integral are presented in the paper.

利用文 [1— 1 0 ]有关基本理论，给出了Directly———Riemann积分几个重要极限定理。

This shows that the Riemann mapping theorem of n-dimensioanl quasiconformal mappings holds in the class of bounded and convex domains in ■~n.

证明n维空间中的有界凸域D能被拟共形映射到n维单位球B~n(0，1)，即D是拟球，从而说明拟共形映射中的黎曼定理在n维空间中的有界凸域类中是成立的。

In Chapter 2,I consider a queuing system in which there are two exponential servers, each having his own queue, and arriving customers will join the two queues separately, and analyze the two-dimensional Markov process representing the numbers of jobs in the two stations. A functional equation for the generating function of the stationary distribution of this two-dimensional process is derived and solved through the theory of Riemann-Hilbert boundary value problems. In Chapter 3, I consider the system with two parallel queues, in which arrivals join the shorter queue.I describe the problem of coupling and show that the generating function Fcan be continued as a meromorphic function to the whole complex plane.

全文包括三大部分：第一章介绍了基本的背景、研究进展和文章主要采用的方法；第二章研究的是有两个服务员共享的简单的排队方式的模型，即每个服务员有各自的队列，两队队长互不相关，分析了代表两个队长的二维马尔柯夫过程，推导出了二维过程的平稳分布的母函数的方程，并运用Riemann—Hilbert边值问题理论解出了母函数的表达式；第三章研究的是JSQ-PS模型(the joining the shortest queue model with processor sharing)，模型是组合了加入最短队模型和处理器共享模型而成的有用排队模型。

Riemann's new idea of space proved crucial in Einstein 's general relativity theory and Riemannian geometry , which considers very general spaces in which the notion of length is defined, is a mainstay of modern geometry.

黎曼的新思路的关键空间证明爱因斯坦的广义相对论理论和黎曼几何，其中认为非常笼统的空间中，长度的概念界定，是一个主体的现代几何。

Since the early work of Gauss and Riemann, differential geometry has grown into a vast network of ideas and approaches, encompassing local considerations such as differential invariants and jets as well as global ideas, such as Morse theory and characteristic classes.

~ 90年代初以来的工作、微分几何和黎曼高斯已经发展成一个巨大的网络的思想和方法，包括当地的因素，例如差不变量与喷气机以及全局观念，例如莫尔斯班原理和特点。

In chapter III,we consider the wavelet method for the approximation of the nu-merical Bergman kernel.It is very clear that the Bergman kernel plays an importantrole in the complex analysis and elliptic equations.The Bergman kernel has a closedrelation with the Riemann mapping,Green function,Neumann kernel and the Szeg〓kernel etc.

第三章研究了数值Bergman核数值逼近的小波方法，Bergman核在复分析和椭圆型方程中占有重要地位，它与Riemann映射、Green函数、Neumann函数、核等有着密切联系。

Of or relating to Riemann's non-Euclidean geometry.

属于或关于黎曼几何学而非欧几里得几何学的。

"Please accept this talisman as a token of our thanks."

请收下这个护身符以表达我们的感谢。

If I have that magic, I will be more acceptable in the society.

如果我拥有那种魔法，我将更加被这个社会所容纳。