收敛性

Performance analysis and plenty of numerical simulation shows that the robust multiuser detector and its adaptive version have excellent performance of output signal-to-interference-plus-noise ratio, bit error rate, asymptotic multiuser efficiency and robustness even existing stronger MAI.

理论分析和仿真实验表明，即使在较强的多址干扰条件下，稳健的盲线性多用户检测及其自适应实现展示了优异的误码率、信干噪比以及渐进多用户有效性性能，对特征波形失配具有较强的稳健性，且自适应算法能快速收敛至稳态解。

This paper, considers conservative equation with periodic boundary value problem, and construct a difference scheme, Uses the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, proves that the scheme converges uniformly to the solution of differential equation with order one.

研究守恒型奇振动方程的周期边界问题，构造一个差分格式，利用分解解的奇性项的方法，结合问题的渐近展开，证明所构造的差分格式为一阶一致收敛。

At last,we apply Tikhonov reg-ularization method with closed operators to solvc nonlinear ill-posed problems,undercertain conditions,we obtain optimal convergence rates of regularized solutions.At thesame time,we also discuss the case when the"attainability"condition is not satisfied.

最后我们应用带闭算子的Tikhonov正则化方法研究非线性的不适定问题，在一定的条件下得到了最优的收敛率，并讨论了当"可达性"条件不满足的情况下的正则化。

The estimators have all the nice properties of MLE and least square estimator, such as the asymptotic properties of MLE or those of a best linear unbiased estimator.

六、这个新方法同时具有极大可能性估计方法与最小平方估计方法的良好统计特质，例如极大可能性估计方法的渐近收敛性质和最小平方估计方法的最佳缘性不偏特性。

In addition, considering the possible weak instruments problem in the first difference GMM estimator developed by Arellano and Bond (1991), the system GMM developed by Blundell and Bond (1998) should be a more suitable way to observe the relation between initial income level and economic growth convergence.

此外，考虑采用Arellano and Bond(1991)的the first difference GMM估计式可能存在弱工具性问题，以Blundell and Bond(1998)发展出的the system GMM估计式，作为探讨初始所得与经济成长收敛的关系应是较为适合的方法。

Then gives out an optimised convergent algorithm and describes the system robustness by a closed curve on frequency domain, in which all possibte frequency responses.

提出一种计算过程可以迭代循环的最优收敛算法，并在频域复平面上给出描述系统鲁棒性的包络曲线，所有可能的、随系统不确定性而变化的频率响应都落在该曲线所包围的闭域内。

By using the spectrum approximation theory of compact operator, the approximation of anisotropic nonconforming ?nite element method for Stokes eigenvalue pronlem are presented and the optimal error estimates are obtained, which are as same as those of traditional ?nite element methods.

利用紧算子谱逼近理论，给出了 Stokes 特征值问题的各向异性非协调有限元逼近方法及最优误差估计，得到了与剖分网格满足正则性或拟一致性关键假设下相同的收敛效果。

In the first charpter,response variable is generalized to q dimensions, we propose the concept of QMLE and quasi function in nonlinear models, then under mild conditions, we prove that there exists the solution_n with probability 1 for sufficiently large n, and obtain the strong consistency, some results of asymptotic normality, meanwhile consistent estimator of σ~2 for QMLE for heterosedastic nonlinear models is presented.

在第一章中，我们首先将响应变量由一维推广到了多维，得出了非线性模型的极大拟似然估计的定义和拟似然方程，然后在一定的条件下，证明了当样本量n充分大时，拟似然方程以概率1有解？？_n且收敛于参数的真值(即定理1.2)，并且给出了极大拟似然估计的渐近正态性(即定理1.3，1.4)，最后考虑了异方差非线性模型的离差参数σ~2的相合估计(即定理1.5)。

The computer simulation and the comparison with the similar algorithms show that its constringency is much better and its prematurity is infrequent.

通过计算机仿真分析和与同类算法的比较，此算法收敛速度快，不易陷入早熟，具有很强的鲁棒性和实用性。

Based on the viewpoint of set and denseness,this paper discusses some characteristics of the of continuity set and differentiable function set,and the structure of differentiable function sets,and demonstrates that there does not exist a continuous functional sequence {fn} which is convergent to Dirichlet function.

从集合观点和稠密性出发，讨论了连续函数和可导点集的一些特性及可导函数点集的构造，并证明了R上不存在收敛于Dirichlet函数的连续函数列{fn

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。