查询词典 matrix

This paper introduces the transformation formulas of reciprocal judgement matrix and complementary judgement matrix, and presents the relationship between the perfectly consistent reciprocal judgement matrix and perfectly consistent complementary judgement matrix.

引进了互反判断矩阵与互补判断矩阵之间的转换公式，介绍了完全一致性互反判断矩阵和完全一致性互补判断矩阵之间的关系。提出了 3种基于互反判断矩阵的互补判断矩阵排序方法，详细地研究了它们的一些优良性质，如：强条件下保序性等，并进一步把这些方法推广到群体决策环境中。

Taking the active network as a research task, the input accessibility, the Coates graph of matrix and graph transmission etc are used to analyze the relation between reducibility of the coefficient matrix of the state equation and the electric separability of the network or the electric accessibility of the network for the first time, acquiring sufficient and necessary conditions that coefficient matrix of the state equation is reducible. Network Graph Theory, Matrix Theory and System Theory over F etc are used to derive the structural controllability criterion of the passive network over F for the first time. Then according to these theoretic results, the structural controllability problems of the active network over F are studied, acquiring several structural controllability conclusions of the active network.

率先将状态方程的输入可达、矩阵的Coates图、流图传输系数等概念和方法引入到对F上有源电网络的研究，研究了网络状态方程的系数矩阵的可约性与网络电气可断性或电气可达之间的关系，研究了F上有源电网络的能控性问题，获得了状态方程的系数矩阵可约的充分必要条件、F上有源电网络系统的结构能控性判据等新的结论。

The results show that the microstructures of these three kinds of coating are different from those of the matrix (20 steel). The wear resistance of the flame spray coating is 4. 9 times that of the matrix. This is caused by the existance of hard noncrystal microparticals. The wear resistance of the coating by flame spray welding is 6. 3 times that of the matrix. The reason is that the fine crystal grains can be formed and the solution strengthening, dispersion hardening can be induced by these alloy elements. The resistance of the laser remelt coating is 8. 8 times that of the matrix. This is due to the solution strengthening, dispersion hardening and the existence of very hard dendritic crystal, eutectic and martensite in the microstructure.

作者指出，喷涂层由于层内有一定数量高硬度的合金非晶质点存在，其耐磨性是钢基体的4.9倍；喷熔层内合金晶化产生的晶粒细小，合金元素能起固溶强化作用，也能生成化合物产生弥散硬化作用，故此耐磨性是钢基体的6.3倍；激光涂敷层除所含合金元素产生的固溶强化和弥散硬化作用外，表层组织为高硬度的枝晶+共晶和马氏体，故其耐磨性是钢基体的8.8倍。

Firstly, the damaged structure was measured to obtain the residual force vector matrix. Then the matrix was compared with the one of undamaged structure to get the difference matrix. The biggest absolute value in each row of the difference matrix formed the improved residual force vector.

该方法首先通过测试损伤结构多阶模态得到残余力向量，并计算相对于损伤前结构的残余力向量得到残余力向量差矩阵，选取向量差矩阵各行元素中最大绝对值组成改进的残余力向量。

First we construct a covariance matrix from sample images, then compute the eigenvalues and corresponding eigenvectors of the covariance matrix, construct a feature matrix with the eigenvectors. Then every images in database can be projected into the feature matrix and gain a projection vector, so does the input image. Then we can judge the resemblance between input image with each image in database by computing the distance between their projection vectors.

我们首先根据采集的样本图像构造一个协方差矩阵，然后求取该矩阵的特征值，以这些矩阵特征值对应的特征向量构造出一个特征空间，然后将输入图像向该特征空间映射，将获取的映射系数与样本库中图像的映射系数进行距离计算，根据计算出的距离判定输入图像与样本图像间的匹配程度。

This chapter clarifies the nested relationship between the matrix family of unitary, orthogonal, Givens, Householder, permutation, and row or column symmetric matrices. A precise correspondence of the singular values and singular vectors between the unitary-symmetric matrix and its mother matrix is derived and proved (hence a fast algorithm of singular value decomposition for unitary-symmetric matrix is straightforwardly obtained), and the corresponding perturbation bound is provided.

该章揭示了酉对称矩阵、正交对称矩阵、 Givens 对称矩阵、 Householder 对称矩阵、置换对称矩阵和行对称矩阵之间的逐级包含关系；推导并证明了，酉对称矩阵的奇异值和奇异向量与母矩阵的奇异值和奇异向量之间的定量关系，据此可得酉对称矩阵奇异值分解的快速算法；给出并证明了摄动矩阵的摄动界。

The Laplacian matrix of G is the difference of degree matrix of G and the adjacent matrix of G, And the Laplacian spectral radius of a graph is the maximum eigenvalue of the Laplacian matrix of G.

图G的拉普拉斯矩阵为图G的度矩阵和它的邻接矩阵之差，而图G的拉普拉斯谱半径为图G的拉普拉斯矩阵绝对值最大的特征值。

Commencing from the character analysis of overall stiffness matrix of finite element method, the author brings forward it which is important to realize full nonzero memory of overall stiffness matrix, obtains correlative interlink of nodal point from analyzing affiliated element of nodal point, conforms every submatrix's position in overall stiffness matrix, realizes full nonzero memory of overall stiffness matrix.

论文根据面向对象程序设计的特点，建立了有限元模型的相关类，给出了基本的程序设计框架。

It investigates mainly infinite matrix conver-gence、infinite matrix transformations、the automatic continuity and boundedness of infinitematrix operators、infinite matrix topological algebras、invariant theory、infinite matrix meth-ods、compact operators series and Eberlein-Smulian theorem,etc.

主要研究了无穷矩阵收敛、无穷矩阵变换、无穷矩阵算子的自连续性和自有界性、无穷矩阵拓扑代数、不变性理论、无穷矩阵方法、紧算子级数与Eberlein-Smulian定理等。

Because there are many kinds of matrixes in titanium matrix composite, we select some typical ones as investigated subject in many titanium alloys or titanium aluminide intermetallics, and then simulate the distribution of thermal residual stresses under the appropriate composites fabrication and heat treatment parameter. We not only hope to seek better titanium matrix, but also discover the relationship between the material properties and the thermal residual stresses, and then provide some theoretical guidance for the selection of the matrix in titanium matrix composites.

鉴于当前钛基复合材料中钛基体的多样性，我们将在各种类型的钛合金和钛铝金属间化合物中，挑选出较为典型的作为研究对象，利用本文得到的较为理想的复合材料加工和热处理工艺参数，逐一模拟它们的残余热应力，找到残余热应力分布较为理想的钛基体，并且，希望能够寻找到材料性能与热残余应力的相互关系，为钛基复合材料基体的选择提供一定的理论指导。

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。