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Since an elementary reflection in the form of a Householder matrix can reduce any orthogonal matrix to this constrained form, a series of such reflections can bring any orthogonal matrix to the identity; thus an orthogonal group is a

因为 Householder 正交矩阵形式的基本反射可把任何正交矩阵简约成这种约束形式，一系列的这种反射可以把任何正交矩阵变回单位矩阵；因此正交群是

Any square matrix (a matrix is square if its number of rows equals its number of columns) is an identity matrix if all values are 0 except those diagonal from the top left to the bottom right which instead have the value of 1 - the locations where the row position equals the column position.

任何方形矩阵(一个矩阵的行，列数相同)，只要是从左上角到右下角这条对角线上的元素值为1，其余为0的，就是一个单位矩阵。

A code C can be constructed from a Paley matrix of order n,where n is a power of odd prime. The code contains codewords 0 =(0,0,......,0),1 =(1, 1,....., 1) and the rows of/2 and (-5 /-- J)/2, where I and J are respectively identity matrix and the matrix with all entries equal to one.

从凡阶＊缸矩阵S出发，可以构造一个码氏它含有码字0＝叮0；…；0X1二O；1，…；1）以及矩阵（S＋I＋刀／2和（一S＋I＋刀／2的全部行向量，其中凡是奇素数的方幂；了和J分别是单位矩阵和全1矩阵。

A transmitting entity performs spatial processing on data symbols for each subband with an eigenmode matrix, a steering matrix, or an identity matrix to obtain spatially processed symbols for the subband.

发射实体用本征矩阵、导引矩阵或单位矩阵对每个频率子带的数据符号进行空间处理，以获得该子带的空间处理符号。

The arithmetic of incidence matrix is an arithmetic obtained by studying adjacency matrix and the relationship of tree and incidence matrix to get an new arithmetic of finding the maximum matching of tree.

通过邻接矩阵的方法得到一种去边法求树的最大匹配的算法；并通过图与其关联矩阵的关系，寻找到求树的最大匹配的一个新算法，称为关联矩阵法。

After convolutional encoding , the data is reordered by the interleaver. At the receiver , the data pass through deinterleaver for the purpose of dividing possible consecutive error bursts into inconsecutive code , so it can be corrected by convolutional decoding. Matrix interleaver with CPLD is designed , because it is convenient to program. Considering various matrix interleaver , an all - purpose matrix interleaver is designed. You can ap2 ply it to your own project only altering initial parameters.

交织编码在3G系统中已经大量使用，数据通过卷积编码后进行分组交织，在接收端完成反交织，将连续误码分散成非连续误码，从而使得误码在纠错允许的范围内得到纠正； CPLD 具有方便的在线编程功能，可以用来实现交织编码；考虑到矩阵交织器的多样性而设计的通用矩阵交织器，只须通过修改一些参数值即可实现不同的交织器，大大节省了设计时间。

We also adopt the iterative method to study the matrix nearness problem associated with these inconsistent matrix equations systematically in this dissertation, and characterize the minimization property of this iterative method by making use of the matrix function in subspace for the first time, which is the important improvement for the achievements of references.

本文还采用迭代方法系统地研究了问题Ⅰ，并首次利用子空间上的矩阵函数来刻画该迭代方法的极小化性质，这是对已有研究成果的重要补充和完善。

The conventional matrix decomposition methods have been used to find the least-squares solutions of the abovementioned inconsistent matrix equations over given matrix set in many references, and the general expressions of these solutions were obtained. But it is difficult to determine the solution of Problem I by utilizing these expressions due to the fact that the orthogonal invariance of Frobenius norm does no hold for the general nonsingular matrices.

对于求上述不相容矩阵方程在给定矩阵集合上的最小二乘解，很多文献中利用传统的矩阵分解方法得到了其通解表达式，但是利用该表达式很难得到问题Ⅰ的解，这是因为一般的非奇异矩阵并不满足Frobenius范数的正交不变性。

For the admissible time-delay as well as non-linear disturbances, an time-delay integral transformation and a matrix inequality method are developed. The design of observer and stability of error systems can be represented as a matrix inequality, matrix of observer gain and condition of global asymptotically stable of error systems are obtained. An example is included to illustrate the pratical applicability of the proposed theory.

对于允许的时滞和非线性干扰，利用一个变换和不等式技巧，将观测器的设计，误差方程的稳定性归结为一个矩阵不等式，给出了观测器增益阵的解析式和误差方程全局渐近稳定的条件，一个例子说明了所提定理的可行性。

You should know what the inverse of a matrix is and how to compute it for any matrix. You should know how to transpose a matrix.

你应该知道一个矩阵的逆以及如何计算，你应该知道如何转置一个矩阵。

Bob Eckert has been chairman and chief executive of Mattel for eight years.

美泰董事长兼首席执行官鲍勃·埃克尔特在任已8年。

The outlook for honors and disgraces carries on and surpasses the traditional outlook for honors and disgraces theoretically, and carries on and develops the theory of construction of socialist mora...

社会主义荣辱观的提出在理论上是对传统荣辱观的一次继承和超越，是对社会主义道德建设理论的继承和发展，在实践上有利于形成良好的社会风尚。