查询词典 unique factorization theorem

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

This paper discusses the Noether theorem of complete singular integral equation which containsboth the convolution kernel and the Cauchy kernel, and comes up with the Noether theoremwhich is similar to the Fredholm integral equation, the convolution equation and the singularintegral equation.

本文讨论了既含卷积核又含Cauchy核的完全奇异积分方程的Noether定理，得到了与Fredholm积分方程、卷积型积分方程、奇异积分方程相类似的Noether定理。

He asked,"Do you believe in the central limit theorem?"

他问道："你是否知道中心极限定理？"

Based on the central limit theorem, we can show that OLS estimators are asymptotically normal

基于中心极限定理，我们能够证明OLS估计量是渐近正态。

The central limit theorem is a concentrated manifestation of providence.

中心极限定理是上帝旨意的一个集中体现。

" Keefer replied,"I believe the central limit theorem is like a stop clock, which is right twice a day.

"科夫回答："我想中心极限定理就像是一个停止的钟，每天有 2 次时间是对的。

Two key tools: the law of large numbers, and the central limit theorem.

两个重要工具：大数定律，中心极限定理

This paper proposes a novel central limit theorem based algorithm to detect medium access control misbehaviors of malicious nodes.

针对无线竞争共享型信道中恶意节点不公平使用信道资源的退避访问攻击行为，提出一种新的中心极限定理检测算法。

In addition, we demonstrate the non-parametric performance of BP neural network by using Liapunov Central Limit Theorem, and give the structure and principle of BP neural network detector. Meanwhile, a set of computer simulation results are also given in the paper.

另外，我们还通过Liapunov中心极限定理证明了BP神经网络的非参数特性，并以此为依据提出了检测声呐信号的BP神经网络检测器的结构及原理，同时也提供了一系列计算机仿真实验的结果。

A corresponding almost sure central limit theorem for a triangular array is proved.

同时，也得到了一个关于强混合组列的几乎处处中心极限定理。

Tom: You are right, he worked hard all the time.

你是对的。他一直都是努力工作。

Take shortcomings,failures,and mockings of others as commonplace and a drive to complete oneself,hold your own opinion over the evalution and disscution divested from others,afterwards sink into the state of eliminate mistakes if any or encourge oneself being not being influenced by the sayinngs of others or having no ideas to do.

把缺点、失败及别人的耻笑等看成是一种常事，当成完善自己的动力，对别人的评价和议论自己心中有主见，做到&有则改之，无则加勉&，不为人言所左右或无所适从。