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Firstly, based on natural gradient and nonlinear principal component analysis, a matrix equation is obtained by block recursive updating,and then the matrix equation is solved using QR factorization and back substitution to obtain the optimal separating matrix.

此外，结合自然梯度和非线性主分量分析提出了一种块递归的盲源分离方法，构造出按块递归更新的矩阵方程，然后用QR分解和回代法求解该矩阵方程得到最优分离矩阵。

Firstly, based on natural gradient and nonlinear principle component analysis, a matrix equation is obtained by block recursive updating, and then the matrix equation is solved by using QR factorization and back substitution to obtain the optimal separating matrix.

首先基于自然梯度和非线性主分量分析，构造出按块递归更新的矩阵方程，然后用QR分解和回代法逐块求解该矩阵方程得到最优分离矩阵。

In the predicted process, the forward simplification is used to get the interface equation, meanwhile taking the voltage of the concentrated grid as control vector to solve the control step length; in the correction process, by means of forward simplification and back substitution the Newton linearization incremental equations of both concentrated computational grid and contracted nodes are solved alternately.

进行计算时，通过前向简化形成预估环节的接口方程，同时以浓缩网络的电压为控制电压向量求出控制步长；校正环节通过双向迭代方法交替实现对浓缩网络和收缩节点的牛顿法线性增量方程的求解。

I thought that I had solved his problem, but his hesitation led me back to the right track.

我想我已经解决了他的问题。但是他的踌躇让我引导我回到正确的轨迹。

Backdoor is one of these hidden structures,which makes the remaining questions can be solved in polynomial time.

隐蔽集作为典型的隐藏结构之一，能使剩下的问题在多项式时间内求解。

This problem can be solved by applying a bactericidal and anti-corrosive coating on the walls of the wells.

采用在井壁涂刷杀菌防腐涂料的办法可解决8t t t 8。 c o m这一问题。

This problem is solved by technology of Load Balancing in some way.

负载均衡技术的出现和发展一定程度上解决了这个问题。

With that understanding, they believe, it may be possible to develop drugs that do the job balky genes fail to do - controlling a problem that decades of fad diets and self-help books have never solved

一旦有了这些知识，科学家相信有可能发展出一种药物能完成不听话的基因无法胜任的工作，从而解决几十年来时尚食谱和自我养护一类书所不能解决的体重控制问题。

In chapter 1, the relations between spectrum displacement problem and controllability, observabiity for linear systems over a commutative Banach algebra have been discussed, the open problem about spectrum displacement posed by Kaashoek have been solved, and the if and only if conditions for stability, stabiizabit~ detectability have been obtained.

第一章，讨论了交换Banach代数上线性系统的谱配置问题与可控性、可观性的关系，解决了Kaashoek等提出的关于谱配置的公开问题，给出并证明了判定其稳定性、可稳定性、可检测性的充要条件。

This paper presents a fast algorithm based on the measured equation of invariance.Conformal meshes are made along the surface of two-dimensional scatterer.Renumbering of nodes changed the original sparse matrix into band one,and the consumption of computer memory and CPU time decrease from O(N2) to O.Via this new algorithm,electrically large problem can now be rapidly solved.

提要 本文基于不变性测试方程法提出一种快速算法，在二维散射体表面建立共形差分网格后，通过对节点的重新排序，将原问题中的稀疏矩阵变换为带状稀疏阵，从而使占用的计算机内存和计算时间均由O(N2)下降为O，可以解决原来无法计算的问题。

The French are not suggesting a new EU treaty, but they have plenty of other wheezes.

法国人并不是在建议签署一个新的欧盟条约，但他们有许多其他的阴谋。

This letter was written by my brother.

这封信是我弟弟写的。