查询词典 asymptotic convergence

The paper is organized as follows. In chapter 2, we introduce some concepts about SEA, the abstract SEA model and the convergence definition of algorithm. In chapter 3, we describe firstly the evolution of PMA as an abstract stochastic process, and by characterizing axiomatically the properties of the fundamental selection and evolution operators, we conclude that PMA is essentially a kind of SEA.

本文结构安排如下：第二章介绍了模拟进化算法的一些基本概念、形式化随机过程描述以及收敛性定义；第三章对改进后的 PMA 各操作作了抽象定义，得到了 PMA 的形式化随机过程描述，并公理化地证明了各操作算子为选择或繁殖算子，从而得出 PMA本质上也是一种模拟进化算法；第四章先对选择算子特征数定义作了适当改进，并通过各进化算子的具体特征数指出，如果 PMA 不采取任何执行策略时，算法本身并不收敛。

A Multi-Species Cooperative PSO algorithm is developed using the ideas of species dividing in the bionomical world. The algorithm is shown to have guaranteed convergence to the global optimum. Furthermore, the training strategies of RBF network structures and weights based on the MCPSO aigorithm is proposed. Simulation results show that the algorithm is effective in such fields as chaotic time-sequence forecasting, system identification, speech signal processing and etc.

在分析基本微粒群算法和协同微粒群算法特点的基础上，借鉴生态学中的种群划分思想，设计出一种多种群协同进化微粒群算法，并分析了该算法的收敛性能；在分析径向基函数神经网络结构的基础上，提出了基于多种群协同进化微粒群算法的径向基函数神经网络结构和权值优化设计策略，并在混沌序列预测、系统辨识、语音信号处理等应用仿真实验中验证了算法的有效性。

This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

本篇硕士论文系统地研究了此类问题，并找到了求解约束矩阵问题的抽象算法，并建立严格的收敛性理论，利用这一算法可求解约束条件为对称矩阵、反对称矩阵、中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵，对称正交对称矩阵、对称正交反对称矩阵、双中心矩阵、Hermite广义Hamilton矩阵等；可以说只要约束矩阵集合在矩阵空间中构成子空间，都可以考虑用此算法求解，而且这一算法还能把矩阵方程解及其最佳逼近，最小二乘解及其最佳逼近统一处理，因此本文算法有普适性和重要的实用价值。

The results show that the displacement of rock body may change direction in regulative distortion phase, the displacement presents periodicity according to the storing and the destroy of the energy of rock distortion, the quantity of displacement of the top is more than that of the bottom, the quantity of displacement and the destroy periodicity of the reinforced terrane infused plasm are less than that of the irreinforced terrane infused plasm, the convergence of bordroom is the displacement of certain thickness wall rock of surface layer.

得出：岩体在调整变形阶段可能改变位移方向，岩石破坏呈现周期性，洞室边墙上部比边墙脚位移大；注浆加固后的岩层比未加固岩层的位移小，破坏周期短；洞室的收敛只是表层一定厚度的围岩位移的外在表现，收敛层外岩体向山体方向移动；加固破碎围岩的关键技术是按照工程所处应力场，充分考虑加固层周围地质构造影响，设计加固层的厚度和加固闭合拱。

Biologists find it most grating that the impetus for this postdarwinian convergence comes chiefly from mathematicians, physicists, computer scientists, and whole systems theorists-people who couldn't tell the difference between Cantharellus cibarius and Amanita muscaria if their lives depended on it.

这门科学就是复杂科学。生物学家们发现，对于那些正汇聚起来的后达尔文主义潮流来说，它们的推动力主要来自于数学家、物理学家、计算机科学家还有那些整体理论的研究者，也就是说，是这么一批人：如果有朝一日这些人要靠吃蘑菇来度日的话，他们可分不清楚Cantharellus cibarius和Amanita muscaria[1]（这两种蘑菇中有一种是有毒的）。

Washington is located in Maryland and Virginia between the Potomac River and A Naka River castilla convergence Department.

华盛顿位于马里兰州和弗吉尼亚州之间的波托马克河与阿纳卡斯蒂亚河汇流处。

In this paper, the convergence of iterative methods for the linear system Ax=b is investigated, where A is a centrosymmetric M-matrix.

主要研究了线性方程组Ax=b的迭代解法的收敛性，其中A为中心对称的M-阵。

To get more precise voltage steady magnitude and faster circumfluence convergence speed, some measurement is adopted in experiment.

为了提高电压的稳压精度以及加快环流收敛速度，在实际应用中采取了一些措施。

The coaction of grouting and drainage curtains will lead to biggish gradient variation of seepage flow nearby, and slow down the convergence rate of unconfined seepage flow iteration, or even cause it divergent.

防渗帷幕和排水孔幕的共同作用可能会引起附近渗流场较大的梯度变化，并导致无压渗流迭代计算过程收敛速度慢甚至不收敛。

We give different kinds of iterative methods of some quaternion matrix equations,and using structure-preserving property for complexification operator of the quaternion matrices,which analysis and character the convergence of various algorithms.

给出了若干类四元数矩阵方程的多种迭代算法，并利用四元数矩阵复表示运算的性质与保结构特性，分析和刻画了各种算法的收敛性。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48