矩阵单位

In chapter two, firstly I discuss the linear problem of local automorphism on AF C* algebra.

在证明过程中充分利用了代数的特殊结构—矩阵单位系这个工具。

This paper analyzes the property of FNT, the characteristics of Kernel Matrixes and the relationship between Kernel Matrixes of two-dimensional Fermat number transform whose modulus are odd prime and image data, and presents and proves the deduction of the theorem which demonstrates the relationship among different transform matrixes corresponding to different roots of unity under the same odd prime modulus of FNT, and reveals the essence of FNT whose modulus are odd prime.

分析二维Fermat数变换性质、正反变换核的特点、二维模为奇素数的二维Fermat数变换正反变换核以及与图像数据的关系，提出了不同单位根对应变换矩阵间的关系定理的推论，证明了该推论中模为奇素数的二维Fermat数变换的不同单位根对应的变换矩阵之间的关系，揭示了模为奇素数的二维Fermat数变换的本质，在构造离散图象数据Fermat数变换时为单位根的选择奠定了理论基础。

Boley and Golub used Gauss quadrature formula to solve the inverse problem, but I used other different methods and thoughts. I obtained a new decomposition form of orthogonal matrix consisted by the unit eigenvectors of Jacobi matrix and found the direct relations between the first row and the orther rows of this orthogonal matrix.

Boley和Golub的算法是用高斯求积公式，而本人另辟蹊径，推出了关于Jacobi矩阵单位特征向量组成的正交阵的一种分解形式，并找到此正交阵第一行和其它行的直接联系，由此避免了通过求特征多项式计算尾主子阵的特征值，得到了新的稳定解法。

In this paper, we present the sufficient and necessary condition for the sum of a identity matrix and a generalized cyclic matrix is nonsingular, and obtain the formal representation of the relative gain array of the sum matrix.

本文给出了单位矩阵与广义循环矩阵的和矩阵的非奇异的充要条件，得到了这样和矩阵的相对增益阵列的显示表达式。

Based on a brief review on developments of number system, a new developed pattern is proposed. The quaternion is extended to a matrix form aI+bA+cB+dC, in which the identity matrix I and three special matrices A, B, C correspond to number 1 and three units of imaginary number i, j, k, respectively.

在数系发展的基础上，提出了一种新的发展模式：四元数推广为矩阵形式aI+bA+cB+dC，其中单位矩阵I和3个特殊矩阵A，B，C分别相应于数1和虚数单位i，j，k。

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。

This is the so-called Duerlite algorithms: from the bottom row of the matrix A do elementary transformation, the diagonal elements into the bottom left of zero, and then show the effect of these lines is equivalent to transform the left by a unit lower triangular matrix, this series of unit lower triangular matrix inverse is the product of L matrices, it is also a unit lower triangular matrix.

这正是所谓的杜尔里特算法：从下至上地对矩阵A做初等行变换，将对角线左下方的元素变成零，然后再证明这些行变换的效果等同于左乘一系列单位下三角矩阵，这一系列单位下三角矩阵的乘积的逆就是L矩阵，它也是一个单位下三角矩阵。

Computing inverse matrix, a unit entrainment in the matrix behind the matrix, and then in front of it is processed into a matrix, diagonal matrix, the latter matrix that is the inverse matrix.

详细说明：计算逆矩阵，在矩阵后面夹带一个单位矩阵，然后把前面那一个矩阵处理成对角线单位矩阵，后面的那个矩阵就是逆矩阵。

The method for constructing LDPCC code includes encoder and decoder. Operational steps include as following: determining parameters of checkout matrix HQT of group code of permutation unit matrix LDPC; constructing checkout matrix HQT of group code of permutation unit matrix LDPC; constructing checkout polynomial matrix HT of LDPCC code; exporting generated matrix G of LDPCC code.

一种LDPCC码的构造方法，包括编、译码器，运行的步骤包括：初始化的步骤；确定一个置换单位矩阵LDPC分组码的校验阵HQT的参数的步骤；构造置换单位矩阵LDPC码校验阵HQT的步骤；构造LDPCC码的校验多项式矩阵HT的步骤；导出LDPCC码的生成矩阵G的步骤。

Based on the unit quaternion decomposition of rotation matrix, this paper puts forward an algorithm to estimate motion parameters from the space position vectors of 3D feature points.

摘要本文基于旋转矩阵单位四元数分解定理，提出一种由3D特征点空间位置估计运动参数的算法。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失