查询词典 rectangular matrix

As the sensitivity matrix got by numerical differentiation in elastoplastic problem can not ensure the efficiency and stability in back analysis computation, an integration formula of sensitivity matrix is presented, in which sensitivity matrix can be obtained analytically.

针对弹塑性反分析差分敏度矩阵计算的效率和稳定性难以保证的情况，通过对弹塑性反分析敏度矩阵计算的全面分析和探讨，给出了弹塑性状态下反分析敏度矩阵的积分表达式。

In this dissertation, we develop the research work of the following three aspects based on existed work.First, using the scale-invariant property of multiscale model, i.e. Markovian among scales, a method of qth-order tree-based for multiscale representation of a class of 1-D stochastic process is presented. The multiscale stochastic model is established. The representation forms of parameter matrices, such as, the state transition matrix, the disturbance matrix, the initial state and the corresponding covariance matrix are deduced in detail. The multiscale sample paths based on distinctive order tree are presented by computer simulation.

本文在已有工作的基础上，开展了以下几个方面的研究工作： 1、根据多尺度模型尺度不变性，即利用尺度间的Markov性，给出了一类1-D随机过程基于一般q阶树的多尺度表示方法，建立了相应的多尺度动态模型，详细推导了多尺度模型中的状态转移阵、扰动阵、初始状态和相应的协方差阵，并通过计算机仿真给出了不同阶树的多尺度采样路径。

Although the parity check matrix is defined by very sparse matrix, the generator matrix is not.

尽管LDPC码的校验矩阵是非常稀疏的，但它的生成矩阵却并不稀疏，这使得其编码复杂度往往与其码长的平方成正比。

Above this natural matrix, float the gardens of humanity composed of a designed tree matrix, a path network, and a matrix of story boxes.

在这个天然的点阵式上面，飘浮由被设计的树点阵式，一个路径网络和一个故事盒子的点阵式组成的人性的花园。

The former firstly establishes state graph of power system, and then, with the use of the adjacency matrix and path matrix of the directed graph, fast finds out the key transmission sections suffering greatly from the outages of overload lines through simple calculation of matrix.

前者根据实时网络拓扑结构和潮流分布状态，在对初始电力网络简化、分区的基础上，利用有向图的邻接矩阵与路径矩阵，通过简单的矩阵运算，快速识别出与过载线路相关的关键输电断面；后者直接利用系统各支路的阻抗，从图论算法的基本思想出发，搜索最易遭受大负荷转移的关键传输路径，从而将安全性分析目标从整个网络缩小到某些关键的输电线路。

The former firstly establishes state graph of power system, and then, with the use of the adjacency matrix and path matrix of the directed graph, fast finds out the key transmission sections suffered greatly from the outages of overload lines through simple calculation of matrix. In the latter, the minimal short transmission path, the length of which is calculated with line impedance, is determined with graph theory to focus on security analysis objects from the whole network to some key transmission lines.

前者根据实时网络拓扑结构和潮流分布状态，在对初始电力网络简化、分区的基础上，利用有向图的邻接矩阵与路径矩阵，通过简单的矩阵运算，快速识别出与过载线路相关的关键输电断面；后者直接利用系统各支路的阻抗，从图论算法的基本思想出发，搜索最易遭受大负荷转移的关键传输路径，从而将安全性分析目标从整个网络缩小到某些关键的输电线路。

Firstly,the wavelet-based contourlet coding using an SPIHT-like algorithm is utilized on the plain image,and as a result,the compressed datum stream could be achieved which is then mapped to a 3D bit matrix. Afterward,a chaotic sequence is generated by Lorenz chaotic map,and it is preprocessed to a bit sequence which is used to permute and substitute the elements of the 3D bit matrix achieved above. In the end,the processed 3D matrix is mapped back to datum stream,and the encrypted compressed image could be achieved if decoding and inverse transform are performed on the datum stream.

首先采用基于小波的Contourlet变换的类等级树集合分割编码算法对明文图像进行压缩，得到压缩数据流，然后将压缩数据流映射为一个三维位矩阵；利用Lorenz混沌映射产生混沌序列，并对其进行预处理得到比特值序列，根据比特值序列对上述三维位矩阵进行置乱和替代操作；将置乱和替代后的位矩阵重新映射为数据流，并对其进行解码和反变换操作，得到加密后的压缩图像。

Positive definite matrix ; \ inverse matrix ; \ Schur complement of matrix

正定矩阵；逆矩阵；矩阵的Schur补

The text for making every variety positive definite matrix and positive sub-definite matrix to unification, the concept of almost positive definite matrix is given, and its properties and determinant theories are discussed, and many new results are obtained.

本文研究了各类正定矩阵与次正定矩阵的基本性质及行列式理论，提出了准正定矩阵的概念，获得了许多新的结果，推广了Hadamard、Openheim、Ostrowski-Taussky与Minkowski等著名不等式以及屠伯埙、杨新民等的有关结果，扩大了Minkowski不等式的指数范围。

Based on the relationship between matrix and symmetric matrix global exponential stability of the discrete-time neural networks model and the result of exponential convergence rate were obtained by using the characteristics of eigenvalues of a positive definite matrix and introducing a proper factor.

针对带有边界约束的凸二次规划问题，利用离散神经网络模型的建模原理，构造了一个神经网络模型。利用矩阵与对称矩阵的关系和正定矩阵特征值的性质，通过引入一个适当的因子，得到了该离散型神经网络模型是全局指数稳定性和指数收敛率的结果。同时分析了该结果的优越性和存在的不足，提出了解决的3种方法，最后给出了实例说明本方法取得结果的实用性

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。