矩阵的秩

Using an aggregation matrix with full column rank to map the on-line optimization variable sequence into a new one, the number of on-line optimization variables is cut down without reducing the control horizon. A sufficient condition is presented to check whether the control variable sequence can be aggregated.

通过一个列满秩的集结矩阵将维数较小的控制变量序列映射成在线优化变量序列，在不缩短控制时域的情况下，降低了在线优化变量的个数。

The computation results of two given examples show that the method to apply the linear supervised network to the inversion of nonsingular matrix is very effective.

线性监督分类器的瓶颈与能力黄德双（中科院自动化所国家模式识别重点实验室，北京100080）本文研究了线性前馈网络用于监督分类的瓶颈问题，证明隐层节点数小于内间散布矩阵秩的所有网络，其隐层都可以实现前级模式的Fisher线性变换，并揭示了这种分类器

The uniqueress of identification is guaranteed by the full rank of the coefficient matrix of the utilized linear equations.

选用的线性方程组具有列满秩的系数矩阵，保证了系统参数的唯一可识别性。

Based on theory of structural dynamics and differential equation, the requirement of state complete observability is infered related to vibration modes, which is more acceptable for engineering than the counterpart of modern control theory related to rank of matrix in algebra.

这一条件较之现代控制理论中以矩阵秩的形式给出的相应条件更易为工程实际所接受，对测量装置的位置设置提供了理论依据，并指出无干扰驱动项的经典的Luenberger观测器对结构控制是不适宜的。

Representation theory of quivers is applied to system theory. As a result, the regular points in system spaces are characterized. Moreover, all prestable points in system spaces are described and another generic property of linear systems is introduced.

解决了始于二十年前的系统空间的正则点的刻画问题，证明了Tannenbaum在1983年提出的&矩阵具有极大秩是正则性的必要条件&这一猜测，纠正了其关于系统空间预稳定点的错误刻画。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。