非收敛的

We obtain that if any 〓 is discrete or elementaryand 〓 satisfies Condition A,then the algebraic limit G of group sequence 〓is discrete or elementary.

首先，我们不再仅仅考虑离散非初等群集〓的代数极限G，而是离散群或初等群群集〓的代数极限G，我们对〓上〓变换群中斜驶元及其不动点进行了细致研究，注意到任意一个斜驶元存在一个仅仅含有斜驶元的领域，从而证明了初等群群集〓的代数极限G仍然是初等群，进而我们得到了一个代数收敛定理：如果任一〓是离散群或者初等群并且〓满足条件A，那么，群列〓的代数极限G一定是离散群或者初等群。

This technique is an improved and generalized version of the finite array Green's function method[1], and fit for analyzing all kinds of arrays including finite periodic and aperiodic arrays.

该法不受阵列单元排布形式、单元电流分布情况和单元数量的限制，对有限周期和非周期阵列的分析都有着较高的计算效率和稳定的收敛性。

Have been developed. However, these approaches are all complicated in the description of physical mechanism and expensive in the consumption of computational resource, even encounter the convergence problem of the computer algorithm when the size parameter, the asphericity, or the refractive index of the scattering particle becoming too extreme.

然而，这些方法在物理机制的描述上过于复杂，并且要求占用极大的计算资源，甚至会出现难以克服的收敛性问题（当一些关键参量如粒子的尺度，非球性，折射率变得极端时）。

Except that the specifications of the single-objective real-valued quantum-inspired evolutionary algorithm are kept, the proposed algorithm has three main features to enhance the RQIEA. First, the crowed comparison operator is used to sort and select individuals in multi-objective sense. Second, the non-uniform mutation operator is applied to improve the precision for local search and to preserve the convergency for the solutions. Third, the diversity preserve operator is proposed to maintain the diversity.

该算法除保留求解单目标优化问题的实值量子演化算法的特点外，还有三个主要特征：首先，根据多目标优化特点，使用多目标密度比较算子对种群进行排序和筛选；其次，应用非均匀变异算子保持解的收敛性和提高局部搜索能力；再次，使用多样性保持算子来保持解的多样性。

Due to its smaller computus, faster convergence rate and smaller misadjustment, and its performance is not influenced by existing uncorrelated noise, the proposed algorithm can be applied perfectly in the adaptive noise cancellation system and achieves favorable performance in lower SNR situation.

该算法计算量小、易于控制，具有快速的收敛速度和较小的失调，不受已存在的非相关噪声的影响，可很好地应用于自适应对消系统中，且在低信噪比环境中仍能保持良好的性能。

Ruck, Hirano and Reich extended Baillon抯 theorem to a uniformly convex Banach space with a Frechet differentiable norm. Hirano-Kido-Takahashi, Oka, Park and Jenong proved the ergodic theorem for commutative semigroups of nonexpansive mappings and asymptotically nonexpansive mappings in the uniformly convex I3anach space with the Frechet differentiable nonn.

aillon的定理被Bruck，Hirano及Reich推广到具Frechet可微范数的一致凸Banach空间中，而当G是一般交换拓扑半群时，Hirano-Kido-Takahashi，Oka，Park及Jeong分别给出了具Frechet可微范数的一致凸Banach空间中非扩张半群及渐近非扩张半群的遍历压缩定理和遍历收敛定理。

And we show that random walk model converges to the stable law of Lévy-Feller advection-dispersion equation by use of a properly scaled transition to vanish-ing space and time steps,We propose an explicit finite difference approximation for Lévy-Feller advection-dispersion equation.

第三章讨论描述服从某种稳定分布反常扩散的非对称空间分数阶对流-扩散方程——Lévy-Feller对流-扩散方程，首先利用Fourier变换和Laplace变换给出方程的基本解，然后利用Grünwald-Letnikov分数阶导数移位离散算子离散方程中的Riesz-Feller分数阶导数得到离散格式，证明此格式可以解释为离散随机游走模型，并且证明了当时间和空间步长以一定的比率同时趋于0时，所提出的离散随机游走模型收敛到Lévy-Feller对流-扩散过程的稳定分布。

By using the method for positive term resolution of equations of higher degree, all non-zero real roots of a real coefficient equation of higher degreewere obtained by determiningthe abscissas of intersection points of two monotonically increasing concave functions in the first quadrant of a planar rectangular coordinate system.

用高次方程正项分解方法，将求解实系数高次方程非零实数根的问题，转化成求解两单调上升凹函数在平面直角系第一象限内交点横坐标的等价问题；给出了基于共享存储多指令流多数据流并行计算模型求解任意实系数高次方程全部实数根的大范围收敛性异步并行迭代算法，并分析了算法计算的复杂程度。

This thesis presents some refined algorithms for large unsymmetric matrix eigenproblems and investigates their convergence and restart.

本文研究求解大规模非对称矩阵特征问题的一些精化投影算法、算法的收敛性以及算法的重新启动等问题。

Based on this observation,this dissertation focuses on the study of the rate of convergence of nonlinear rescaling methods for nonconvex second order cone programming.

本论文主要研究非凸二阶锥规划的非线性重新尺度化方法的收敛速度，所阐述的主要研究结果可概括如下：1。

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。