查询词典 abscissa of uniform convergence

Chapter 9: We report a large quantity of numerical experiments of 13 different algebraic multigrid algorithms for solving the Poisson equation, anisotropic equation, equation with cross-derivative terms, general matrix problems with large off-diagonal positive entries, biharmonic equation, Toeplity matrix, elasticity systems, finite element discretization of the Laplacian and even 3D problems. Particular attention is focused on asymptotic convergence factors and CPU-time consumed. Numerical results for many different types of practical problems demonstrate the efficiency and robustness of the proposed algebraic multigrid methods.

第九章：在各种代数多重网格算法的基础上，进行了大量的数值试验，具体给出了十三种不同的代数多重网格方法求解泊松方程，各向异性方程，带混合导数项的方程，带有大的非对角正元素的一般矩阵问题，重调和方程，托普利兹矩阵，弹性力学方程组，拉普拉斯算子的有限元离散，甚至三维问题的较为丰富的数值结果，重点关注它们的渐近收敛因子和所需的CPU时间，来源于不同类型问题的计算结果既为代数多重网格理论分析和算法的改进提供了很实用的资料，同时也证实了本文给出的代数多重网格算法的效绩和稳健性。

Firstly, the multi-user detector that relatively integrity in theory and proximal to optimal multi-user detector is discussed and Decor elating Detector, Minimum Mean Square Error Detector, Optimal linear Detector together with the multi-capability indexes output energy, SNR, bit error rate, asymptotic efficiency, convergence etc.

本文首先对理论上及性能上接近最佳多用户检测的次最佳多用户检测进行理论研究，计算并分析了解相关检测器、最小均方误差检测器、最佳线性检测器的性能指标(输出能量、信噪比、渐近有效性、误码率以及收敛特性等)。

Based on the concepts of asymptotic center point and the asymptotic radius, this paper discusses the existence and the weak convergence of the fixed point in the multi_valued asymptotically nonexpansive mappings.

本文借助于渐近中点、渐近半径的概念，得到一致凸Banach空间中非空有界闭凸子集上的连续集值渐近非扩张映射有不动点。

Based on the simulation studies for different kinds of control modes and corresponding algorithms,the features,such as asymptotic of algorithm,the rate of convergence are discovered.Finally,some useful comments are given for further research.

通过对不同控制模式和与之相适应的滤波算法的仿真研究，揭示其算法收敛性和收敛速度等特性。

By sampling from the traffic flow and averaging non-overlapping blocks of size m from the original series, the variance asymptotic characteristic of the averaged series is obtained, from which this method shows that the splitting, assembling and merging process of the convergence mechanism will not change the Hurst parmeter of the traffic if the queue length of assemble buffer has a finite second-order moment.

在分析光突发交换边缘结点汇聚机制的基础上，提出了一种基于方差时间图的分析方法，利用"时间离散"和"尺度聚集"的思想，通过构造不同聚集级别m的聚集序列，分析得出业务流时间聚集序列的方差渐近性，从理论上证明了在组装器队长具有有限二阶矩的条件下，汇聚机制的分解、组装和合并过程不会改变业务流的Hurst参数。

Traditional GEP Algorithm may leads to prematurity by local optimum trap . In order to solve the premature convergence problem, this paper proposes a novel GEP method based on backtracking referring to the atavism in the biosphere.

传统GEP可能陷入局部最优的"早熟"陷阱，为解决基因表达式编程中的未成熟收敛问题，本文借鉴生物界的"返祖现象"，提出了基于回溯的基因表达式编程方法，有效地改善了传统算法在进化过程中的早熟现象。

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。

Thispaper proposed a necessary and sufficient condition for the well-posedness and attainability ofthe modified regulator problem. Furthermore, the state corresponding the optimal control has amean-square convergence rate faster than the given rate.

本文研究了一类带稳定度约束的无限时域不定随机LQ问题，给出了问题适定和可达的充要条件，且保证最优控制作用下的闭环系统具有不低于给定的均方收敛速度。

At last, we prove the existence and convergence of the attractor.

最后，我们证明了近似吸引子A_N存在性及其收敛性d→0。

Fourth, this study constructs economic growth convergence theoretical model for provincial economy in mainland China under considering the technical spillover, labor and capital mobility based on neo-classical economic growth theory and augmentative Cobb-Douglas production function. And the empirical research based on the data from mainland China presents more appealing results.

四、本研究基于新古典经济增长理论和扩展的柯布一道格拉斯生产函数，在考虑了技术溢出、劳动力和资本区域流动的基础上，构建了中国省域经济增长理论模型；并利用中国经济数据进行实证研究，得出较其它学者的研究结论更多的启示。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。