行矩阵

Finite Element Method is an important means of engineering subject and has been proved to be a common method in many subjects. However, disadvantages still remained. During the structural analysis, large amount of high-order units were used in order to ensure the precision of arithmetic solution when using Finite Element Method to do discrete processing. This will cause high order of coefficient matrix of corresponding equation group.

有限元方法是工程学科的重要工具，被证明为在许多科学和工程领域中连续物理系统模拟的一种普遍方法，但缺点是随着工程结构分析问题越来越复杂，在结构分析中，为保证数值解的精度，在使用有限元方法离散处理时，往往要用大量的高阶单元将结构剖分得很密，这时相应的代数方程组的系数矩阵的阶数很高，即使用目前速度最快的串行机来进行求解，费时仍然太多且问题的规模受到内存容量的限制。

At polymorphic gene locus, the variance components of quantitative trait was described as follows:VA=2βp and VG=p′Xp-G2 in which p=column vector of polymorphic allele frequencies,β=row vector of2,X=［a2ij］i×i matrix,aij=genotype value,and G=population mean.

数量性状相对多态座位的加性方差和遗传方差分别为VA=2βp和VG=p′Xp-G2，其中p′和p分别表示多态等位基因频率的行向量和列向量，X表示以基因型值平方为元素的矩阵，β表示以基因均效平方为元素的行向量，G为群体均数。

Utilizing the inclusion relationship between two subsets or subspaces, disjunct matrices with the same number of elements 1 in each row and column were constructed. However, the experimental number of elements was greater than the lower bound of information.

利用子集或子空间之间的包含关系可以构建出分离矩阵，它的每行和每列中元素1的个数分别都一样，但试验总次数即行数明显大于信息下界。

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, the influence of error propagation on soft demodulation in coded MIMO system is analyzed in detail. Besides, based on the thought of soft symbol interference cancellation, Iterative Channel Soft Information for coded MIMO system is further deduced and proved to have the same form as the inverse of row norm of Moore-Penrose inverse of channel matrix.

摘要该文针对编码MIMO系统，分析了MIMO检测过程中串行干扰删除引入的误差传播对软解调的影响，同时，借鉴软符号干扰消除的思想，推导出该系统中迭代信道软信息(Iterative Channel Soft Information， ICSI)的计算方法，并证明了该信道软信息等价于信道矩阵广义逆的行范数的倒数。

A square sign pattern matrix that does not have a zero row or zero column is sign potentially orthogonal if every pair of rows and every pair of columns allow orthogonality.

一个没有零行或零列的 n 阶符号模式矩阵是符号蕴含正交的，若每一对行和列向量都是蕴含正交的。

Moreover, the block of texture was selected on the basis of the central line of crop row. The co-occurrence matrixes of the H color space that was quantified 8 levels were computed. Based on that, five texture parameters were extracted. Then, the K-means clustering method was used to recognize weeds within crop rows.

然后，以作物行中心为基准来选取纹理块，计算量化级数为8级的H颜色空间的共生矩阵，提取5个纹理特征参数，利用K均值聚类法判别分析各块的类别来识别行内杂草。

Based on the stochastic subspace method, the projection from row space of future data to that of data is modified to an update mode for subspace tracking.

基于随机子空间算法，利用矩阵空间的性质和QR分解将行空间到过去行空间的投影展开为一种用于跟踪的修改递推模式。

We scan the area matrix on a row-by-row basis from top to bottom.

我们扫描领域矩阵的行的行的基础上从上到下。

As to the parallel frame, its coefficient matrix is still skew-symmetric, yet the elements are all zero except those at the first row and the first column.

而平行标架关于参数求导，得到的系数矩阵也是一个斜对称矩阵，但除了第一行、第一列元素，其他元素均为零。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷