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Chapter one and chapter two use normal form of idempotent matrices and antisymmetric matrices over finite fields to construct cartesian authentication codes respectively.

第一章、第二章分别利用幂等矩阵及反对称矩阵的标准型构造了卡氏认证码。

The main achievements of this dissertation are as follows: Let W be a nonsingular matrix. 1. Problem I and Problem II are considered under the matrix set S is as the following: 1 the set of real W-symmetrizable matrices; 2 the set of real W-symmetrizable nonnegative definite matrices; 3 the set of real W-symmetrizable matrices on the linear manifold.

对于问题I和问题II,本文就S是W可对称化矩阵集合、W可对称非负定化矩阵集合以及线性流形上W可对称化矩阵集合等三种情况进行了研究,分别给出了这三种情况下问题I的解存在的充分必要条件,以及解集合的通式表达式,给出了这三种情况下的最佳逼近解,并提供了相应的数值算法和数值实例。

To solve the second problem, an approach of irregular QC LDFC codes is proposed. The proposed approach is to replace some sub-matrices by zero matrices and identity matrices at special positions in the given sparse parity-check matrix so as to get a nonsingular square matrix for the construction of the generator matrix.

为解决第二个问题,提出一种不规则准循环LDPC码的设计方法,该方法将校验矩阵中的特定位置的子矩阵用零矩阵和循环矩阵置换,获得一非奇异方阵,用于构造生成矩阵。

This thesis consists of four parts with six chapters.Part one is to study two classes of special matrices: nonsingular H-matrices and generalized H-matrices.

全文共六章,分四个部分:第一部分研究了两类特殊矩阵:非奇H-矩阵和广义H-矩阵。

At last the consistently symmetrical and positive definite properties between the energy matrices and the elastic matrices are clarified by using the theory of positive definite quadratic form of matrices.

最后,运用矩阵的正定二次型理论阐述了"能量矩阵与弹性矩阵"之间一致的对称性和正定性。

This paper investigates the smallest singular value of matrices, the spectral radius of the iterative matrix, the minimal eigenvalue of irreducible M-matrices and some spectral properties of tensor product of matrices.

本文主要研究了矩阵最小奇异值,迭代矩阵的谱半径,不可约M矩阵的最小特征值以及矩阵张量积的一些谱性质。

This paper studies the invariant, which is the linear preserving problem based on generalized inverse of matrices. The generalized inverse of matrices and the research status of preserving problems of generalized inverse are outlined. In the basis of deeply understanding the basic knowledge of linear maps, the definition, characteristics of generalized inverse and decomposition of matrix, the author analyzes the decomposition form of preserving idempotence and preserving tripotence in the PID, then studies on the linear maps form of preserving group inverses of symmetric matrices.

本文研究的不变量是矩阵广义逆线性算子的保持问题,概述了广义逆矩阵,广义逆保持问题的研究现状,在对线性映射的基础知识,广义逆矩阵的定义、性质和矩阵的分解深入理解的基础上,深入分析了保幂等、保立方幂等矩阵在主理想整环上的分解形式,继而研究了保对称矩阵群逆的线性算子形式。

Least-squares solution for the inverse problem of real matrices、symmetric matrices and bisymmetric matrices are studied in this thesis. The thesis includes the following contents.

本文研究了子阵约束下实矩阵、实对称矩阵和双对称矩阵反问题的最小二乘解,全文主要包括以下内容。

Suppose the set of source states S is a cogredient normal form of all the n×n non-alternation matrices over F, the set of encoding rules E and decoding rules E are all of the n×n nonsingular matrices over F, and the set of messages M is all of the n×n singular non-alternation matrices over F. Construct the maps where K=.

令信源集S为F上所有的n×n非交错矩阵的合同标准型,编码规则集E和解码规则集E为F上所有的n×n非奇异矩阵,信息集为F上所有的n×n奇异的非交错矩阵,构造映射其中K=。

Firstly,based on the B.Bowermans result about the rate of convergence in Cesaro sense of certain nonhomogeneous Markov chains which the transition matrices converge,we are to study a certain nonhomogenous Markov chains which the transition matrices average converge to a period strongly ergodic stochastic matrice,and control the average convergenc rate of transition matrices,then we get the rate of convergence in Cesaro sense about the nonhomogeneous Markov chains by used the character of norm and the character of nonhomogeneous Markov chains.It is an extension of a B.

首先在B.Bowerman等人研究转移矩阵列收敛的一类非齐次马氏链,其Cesaro平均收敛的收敛速度基础上,研究转移矩阵列平均收敛到一周期强遍历随机矩阵的一类非齐次马氏链,通过控制转移矩阵列平均收敛的收敛速度,利用矩阵范数的性质、非齐次马氏链的相关性质等,得到该非齐次马氏链转移矩阵Cesaro平均收敛的收敛速度,是B。

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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。

You rap, you know we are not so good at rapping, huh?

你唱吧,你也知道我们并不那么擅长说唱,对吧?