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In the improved algorithm, two matrices describing the relation between transfer stations of all levels with angular points of grids and the relation between two adjacent levels' transfer stations were established to delete constraints and compress greatly variables of the model; an evolutionary algorithm based on evolutionary similarity was applied to mix the basic properties of global and local search; the self-adaptive delta variation operator, dual arithmetic crossover operator, peak-jump operator were used to improve the behaviors of artificial fish-swarm algorithm.

在算法中建立了各级中转站与网格点关系矩阵和相邻两级中转站间的关系矩阵来消除约束条件和压缩变量数；使用了基于相似性的演化算法来融合全局搜索和局部搜索；使用了自适应delta变异算子、双算术交叉算子、峰跳操作算子等多种算子改进人工鱼的各种行为。

Extended the semi-analytical finite element method into the Dugdale model of elastic-plastic fracture mechanics, the analytical elements based on the Dugdale model of mode Ⅰ and mode Ⅱ crack are constructed. The formulas for the stiffness matrices and load vectors of analytical elements are deduced.

将上面的半解析有限元法应用于弹塑性断裂力学中的Dugdale模型，分别构造了基于Ⅰ型和Ⅱ型Dugdale模型的裂纹解析元，并建立了解析单元的出口刚度阵和荷载向量的列式。

A class of inverse eigenvalue problem for sub-periodic Jacobi matrices, as well as its properties, were discussed.

讨论了一类由谱数据构造子周期Jacobi矩阵的特征值反问题，以及子周期Jacobi矩阵的相关性质。

Firstly, we introduced research history and advances in the inverse eigenvalue problem for Double Dimensional Jacobi matrices.

首先介绍了双倍维Jacobi矩阵特征值反问题的研究历史和进展。

In this dissertation, we mainly discussed inverse eigenvalue problems for Jacobi matrices.

本论文主要讨论的是Jacobi矩阵的特征值反问题。

Two inverse eigenvalue problems of a special kind of matrices A are discussed in this paper.

讨论一类具有特殊形式的矩阵A的两类逆特征值问题。

The dissertation presents a mathematical modeling approach for the high-speed flexible linkage mechanisms equipped with bonded piezoelectric sensing/actuating elements employing a mixed variational approach with Hamilton's principle in conjunction with the finite element formulation. This model includes both the terms coupling the elastic and rigid-body motions of linkage mechanisms and the terms coupling the elastodynamics and piezoelectricity of the elements, incorporating their effects upon the mass and stiffness matrices which are in general non-symmetric.

本文以国家自然科学基金资助项目《弹性连杆机构有害振动的主、被动控制及混合控制研究》（资助号：59605001）和广东省自然科学基金项目《开链及闭链机构有害振动控制研究》（资助号：970381）为依托，对高速弹性连杆机构振动的主动控制中的建模、求解、控制律的选择、作动/传感元件的优化以及实验研究等几个关键问题进行了比较深入细致的研究，取得了一些具有重要理论意义和重大实际应用价值的成果。

To improve the efficiency of system simulation, certain inherent attributes inJacobian matrices of electric network and generator modules are utilized.

利用第三章的推导结果，比较网络和发电机模块方程的Jacobian矩阵。

Next produced several kind of matrices similar determinations principle, the matrix equally in value from this has similarly drawn out the elementary divisor with the characteristic matrix, invariant factor two related concepts.

其次给出了几种矩阵相似的判定法则，矩阵相似与特征矩阵等价由此引出了初等因子，不变因子两个相关概念。

In the paper , we gives a condition and an expression of general solution of a matrix equation AXB=C by using some matrix techniques and elementary operations on matrices.

文章应用矩阵的初等变换等技巧，给出了任意域上矩阵方程AXB =C的有解条件、实用解法及通解。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。