行矩阵

Some necesarry and sufficient coditions for generalized diagonal dominance for matrices are discussed by using the determinant and the closed convex cone generated by matrices column vectors. This paper, thus provides some new methoods for determining the generalized diagonal dominance in matrices.

利用矩阵的列向量所生成的闭凸锥及矩阵的行列式来讨论其行广义对角占优的若干充要条件，为判别矩阵是否为广义对角占优提供若干新方法。

In this paper, row distance and minimum row distance of matrix on F2 are presented, and some properties about row distance are given. Two important theorems are proved.

陈勤引进了F2上矩阵的行间距和极小行间距概念，给出了极小行间距的一些基本性质，证明了极小行间距的两个重要定理。

The article by several opposite examples illustrated the former method of finding vector group's maximum linearly independent vector group is imperfect, sometimes even lead to wrong results. The method is that make use of row vector as matrix and then change matrix by performing elementary row operation.

本文通过几个反例说明了在求向量组的极大无关组时，以往普遍使用的以向量为行向量作矩阵，再对矩阵作初等行变换的方法是不完善的，甚至会导致错误的结果。

The eigenvalues of circulant matrices compose of the discrete Fourier transform of the first line, on the contrary, the elements of the first line can recovered from the Fourier inversion formula, all circulant matrices have the same eigenvector that with the same order.

循环矩阵的特征值由其第一行元素的离散傅里叶变换组成，并且第一行元素是特征值的傅里叶变换的逆，而且所有同阶循环矩阵的特征向量相同。

Then, we set up the double-row monodromy matrix of the Hamiltonian, the transfer matrix and the reflection equation of the system with the help of the scattering matrix and the reflecting matrix.

接着借助量子反散射方法，运用两体散射矩阵和反射矩阵，构造了双行monodromy矩阵、转移矩阵和系统的边界反射方程，从而详细证明了系统的精确可解性。

In Chapter 3, we discuss the synchronization of coupled dynamical systems on condition that the external coupling matrices are n × n irreducible symmetric real matrices with zero row sum and nonnegative off-diagonal elements and internal coupling matrices are m × m asymmetric matrices.

在第三章我们讨论了耦合动力系统中，当外部耦合矩阵是n×n阶实对称不可约，行和为零且对角线以外的元素非负的矩阵，内部耦合矩阵是m×m阶非对称矩阵时耦合系统的同步问题。

Chapter 2 is devoted to the discussion of the synchronization of coupled dynamical systems with the external coupling matrices being n × n irreducible circulant real matrices having zero row sum and nonnegative off-diagonal elements and internal coupling matrices being m × m symmetric positive definite matrices.

在第二章我们讨论了耦合动力系统中，当外部耦合矩阵是n×n阶实循环不可约，行和为零且对角线以外的元素非负的矩阵，内部耦合矩阵是m×m阶对称正定矩阵时耦合系统的同步问题。

And three main steps of all subspace algorithms are explored. First, using an LQ-decomposition, the projection of the row space of specific data Hankel matrices is calculated. Next, the SV-decomposition of the projection is calculated to directly lead to the observability matrices and a Kalman filter estimation of the state sequences.

概括了子空间辨识算法的三个主要运算步骤：首先由LQ分解计算特定Hankel矩阵的行空间投影；再对该投影进行SVD，获取系统的可观测矩阵及状态序列的Kalman滤波器估计；最后由可观测矩阵和／或估计的状态序列确定系统矩阵。

And three main steps of all subspace algorithms are explored. First, using an LQ-decomposition, the projection of the row space of specific data Hankel matrices is calculated. Next, the SV-decomposition of the projection is calculated to directly lead to the observability matrices and a Kalman filter estimation of the state sequences. Last, the system matrices are extracted from the observability matrices and/or the estimated state sequences.

概括了子空间辨识算法的三个主要运算步骤：首先由LQ分解计算特定Hankel矩阵的行空间投影；再对该投影进行SVD，获取系统的可观测矩阵及状态序列的Kalman滤波器估计；最后由可观测矩阵和／或估计的状态序列确定系统矩阵。

An image display apparatus includes a display having data holding function, a vertical drive circuit sequentially and selectively scanning matrix form display elements, and a horizontal drive circuit writing a voltage among binary voltage preliminarily assigned depending upon the digital data of the image signal. The horizontal drive circuit and the vertical drive circuit are operated for performing selective scan of respective display element for at least m times in one frame period. The vertical drive circuit is constituted of n number of sequence circuits and logic operation circuits for outputs of the sequence circuits, where n is smaller than m, a period from inputting to the sequence circuit to outputting from the final stage being less than or equal to half of one frame period, and at least one of the sequence circuits being used with selectively inputting a plurality of inputs.

提供了一种图象显示器，其具有显示部，在矩阵上排列的象素内保有数据保持的功能，根据保持的数据进行显示；垂直驱动电路，对构成显示部的矩阵状显示器以每行按顺序作选择性扫描；以及水平驱动电路，对于由垂直驱动电路选择的行显示器件，根据应显示的图象信号数字数据，从预先分配的二进制电压中写入电压，并利用水平、垂直驱动电路，与应显示的图象信号同步，在1帧期间至少m次对各显示象素进行选择性操作，以此进行多色调显示，垂直驱动电路由满足n＜m的n个顺序电路和其输出的逻辑运算电路组成，顺序电路的输入从最后级输出为止的期间为1帧期间的1/2以下，并且，n个顺序电路的至少一个的输入是切换多个输入系统而使用。

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