查询词典 modular matrix

In this paper, we mainly use complex semisimple algebras knowledge. First, we give the structure formula of C. Second, we show that any n x n symmetric matrix A is congruent under the symplectic group to the direct sum of a identity matrix and a tridiagonal matrix.

记正交代数和辛代数的交集构成的李代数为L，本文主要是运用复半单李代数的知识，首先给出了L的结构公式，然后给出了任一n×n对称矩阵A辛合同于一个单位矩阵和一个三对角矩阵的直和。

Those results make basis for fabricating discontinuously reinforced titanium matrix composites with high properties and broadening the application area of discontinuously reinforced titanium matrix composites. They also provide practical way for commercial production of titanium matrix composites with high properties.

这些研究为以后制备高性能的钛基复合材料和拓展钛基复合材料的应用领域打下了坚实的理论基础和为批量生成提供了实用途径。

The results showed that the second phase was refined and distributed dispersedly in the matrix of the alloy after ECAE. The refined particles could cut the soft matrix, which was useful to grain refinement during ECAE. The dispersoid distribution of the second phase could strengthen the matrix and improve mechanical properties of the alloy.

结果表明：合金中的两相组织经ECAE热挤压后被显著细化，析出的第二相弥散分布于合金基体中；细小的第二相颗粒在ECAE热挤压过程中对合金软基体起到钉扎作用，有助于细化合金的微观组织，并对合金起到了弥散强化的作用。

A parallel split iteration algorithm for MIMD distributivity memory cluster on solving linear coefficient matrices is established in chapter three. Convergence is proved when the coefficient matrix is Hermite positive definite matrix or M-matrix. Discussing convergence range of parameter T . In the end, examples have been implemented on HPrx2600 cluster, and the data verify that the algorithm has favorable astringency and parallelism.

研究了一种适合于MIMD分布式存储并行机的交替方向法，理论上证明了在系数矩阵为Hermite正定矩阵和M-矩阵时算法的收敛性，讨论了参数τ的收敛范围，最后在HPrx2600集群上进行数值试验，结果表明此算法有良好的收敛性与并行性。

Basing on the famous Schur theorem on real quaternion division algebra and the operation of matrix, some properties and judging criterions of skew self-conjugate matrix are obtained. Several theorems about characteristic value, similar decomposition and real expression of skew self- conjugate matrix are gained.

借助四元数体上的Schur三角分解定理和体上矩阵的运算，得到了斜自共轭矩阵的一些性质及判定准则，获得了斜自共轭矩阵的实表示、相似分解以及特征值的几个定理。

In this paper, started with the most elementary probability formula of Fisher matrix for time delay estimation, some properties of the Fisher matrix for time delay, Doppler shift and its hither derivatives joint estimation are exploited by use of Toeplitz matrix chracteristics in passive location systems.

本文从时延估计的Fisher矩阵的最基本概率表达式入手，利用Toerlitz矩阵性质，对无源定位中时延、多普勒及其更高阶导数联合估计的Fisher矩阵的性质进行分析。

In this paper,a definition of basic elementary matrix is given and the conclusion is drawn that any matrix can be resolved into limited basic primary matrix product.

给出基本初等矩阵的定义，得出任何方阵都可分解为有限个基本初等矩阵的乘积的结论。

In this paper, a practical solving method and an expression of general solution of a matrix equation AXB=CYD are given by using matrix techniques and elementary operation s on matrix.

应用矩阵的初等变换技巧，给出了任意域上矩阵方程AXB =CYD的通用表达式及解法。

The brief proof is given for " row elementary operation s keep the linear relationship of column vectors of matrix",by using multiplication of partitioned matrix and the relation between elementary matrix and elementary operation.

利用初等矩阵与初等变换的对应关系及分块矩阵的乘法，给出矩阵的行初等变换不改变其列向量组的线性关系的一个简易证明。

How to judge whether judgement matrix has weak consistency or not is proposed, and the theory and algorithm to find equivalent consistency matrix of weak consistency judgement matrix is designed.

从寻求灰色判断矩阵的所有一致性白化阵、灰元的最小灰域的角度出发，去给出灰色判断矩阵的弱一致性和一致性定义，证明了一致性灰阵中所含信息均为一致性信息，并给出了判定矩阵是否具有弱一致性和寻求弱一致性判断矩阵的等价一致性矩阵的定理和算法。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。