矩阵的矩阵

Emam gave the adjoint of fuzzy matrix and the property of adjoint of fuzzy matrix.

Emam提出了模糊矩阵的伴随矩阵以及伴随矩阵的性质。

7 Matrix Exponentials and Linear Systems The solution vectors of a homogeneous linear system Can be used to construct a matrix = that satisfies the matrix differential equation associated with Eq.

5.7 指数矩阵和线性系统借助等式（1），齐次线性系统的解向量可以被用来构造一个满足矩阵微分方程的矩阵。

Firstly, based on natural gradient and nonlinear principal component analysis, a matrix equation is obtained by block recursive updating,and then the matrix equation is solved using QR factorization and back substitution to obtain the optimal separating matrix.

此外，结合自然梯度和非线性主分量分析提出了一种块递归的盲源分离方法，构造出按块递归更新的矩阵方程，然后用QR分解和回代法求解该矩阵方程得到最优分离矩阵。

Rules for fusing, which specify the possible values of the charge that can be obtained when two particles of known charge are combinedbtogether, used for reading out information. In the #nu=5/2# FQH state, it can be realized by measuring whether each pair annihilates fully or not with interference experiment. The representation of the braid group realized by n anyons is cmpletely characterized by the R-matrix and F-matrix which satisfy a pentagon equation and a hexagon equation, coherence conditions for the corresponding anyon model.

满足一定的聚合规则，用于信息读取（在填充因子为5/2的分数量子霍尔效应中，可以通过干涉实验测量每对相邻的粒子相聚合的湮灭情况来实现信息读取）；N个任意子组成的体系的标准基中辫子群表示可以完全由R矩阵和F矩阵决定，不同任意子模型中的R矩阵和F矩阵的具体形式可以通过五边形和六边形方程求出。

These problems include the selfadjointness of the coefficient matrix operator, the functional of the matrix operator equation, the equivalence between variational problem and boundary value problem of eddy-current fields, and the extreme value principle of the functional.

本文首先从求解时谐涡流场的〓-ψ法与〓-Ω法的矩阵算子方程出发，提出了时谐涡流场的统一矩阵算子方程，进而系统地讨论了该方程的系数矩阵算子的自伴性、矩阵算子方程的泛函、涡流场边值问题与对应变分问题的等价性以及泛函的极值原理。

A continuous interval argument OWG operator is introduced and applied, together with C-OWA operator, to transforming the incomplete uncertain judgment matrices into the expected value complementary judgment matrices. Then, a method for group decision making with various types of incomplete judgment matrices is developed.

利用连续区间数据有序加权平均子和C-OWG算子等转化途径把不同类型的残缺不确定判断矩阵均一致化为残缺期望值互补判断矩阵，进而提出一种基于不同类型残缺判断矩阵的群决策方法。

Principal curvatures and principal directions are obtained by computing in closed form the eigenvalues and eigenvectors of certain 3×3 symmetric matrices defined by integral formulas, and closely related to the matrix representation of the tensor of curvature.

通过计算3×3对称矩阵的特征值和特征向量可以得出主曲率和主方向，而该对称矩阵是由积分公式定义并且与曲率张量的矩阵表达密切相关。

Using the principle and method of matrix transformation, the matrix model of VRPTW is developed.(3) Through analyzing the time windows and distance matrix of the nodes, we construct a probability transferring matrix, which is used to produce the initial scheme of VRPTW.

以有时间窗的车辆路径问题的矩阵模型为基础，对客户点的时间窗和距离矩阵进行分析，构造了有时间窗的车辆路径问题的概率转移矩阵，并利用基于概率转移矩阵的初始化方案生成方法，产生有时间窗的车辆路径问题的初始化方案。

According to the definition of an interval number complementary judgment matrix, the definition of complete consistency and satisfactory were introduced.

根据区间数判断矩阵的概念给出了区间数判断矩阵的完全一致性定义，通过对完全一致性性质的讨论演绎出区间数判断矩阵的一致性和满意一致性定义及其判别方法，并且研究了一致性和满意一致性定义的合理性，提出了求解区间数判断矩阵排序向量的递推排序方法，最后用算例验证了方法的有效性。

In chapter5, the serial properties of numerical range of operator polynomial are put firstly. Secondly, the relation between numerical range of operator polynomial and n-numerical range are considered. Thirdly, in the light of matrix norm, matrix singular value, the regions and bounds of numerical range and spectrum of operator polynomial are dicussed carefully.

第五章研究了算子多项式数值域的性质、算子多项式数值域与n-次数值域的关系，特别地利用矩阵范数、矩阵的奇异值、非负矩阵的理论、友矩阵为工具，给出了算子多项式数值域及谱的范围全面刻画，并深刻地研究了算子线性束的正则性的等价条件及谱分布。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。