| 1. | Tao rj . invertibility of finite automata . beijing : science press , 1979 ( in chinese )
陶仁骥.有限自动机的可逆性.北京:科学出版社, 1979 |
| 2. | Professor gongwei bang introduced the concept of ci ( consistent in invertibility ) operator and gave the necessary and sufficent conditions of ci operator in 1994
1994年，龚为邦教授于[ 5 ]中定义了ci算子，并给出ci算子的充要条件。 |
| 3. | In order to characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility , we first study the case of the binary boolean algebra
为了刻画强保持幂零的线性算子和强保持可逆的线性算子，我们首先研究二元布尔代数上的情况 |
| 4. | By the means of the extension of linear operator , we characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility over any boolean algebra
再利用线性扩张这一工具,我们刻画了在一般布尔代数上强保持幂零的线性算子和强保持可逆的线性算子 |
| 5. | Under a certain conditions on variance matrix invertibility , we show that the optimally weighted ls estimate outperforms the linear minimum variance estimate provided that they have the same priori information
因此，我们讨论了在相同已知信息的情况下，即最优加权最小二乘估计也利用有关被估参数的先验信息时，二者的估计性能。 |
| 6. | Also , by the means of the pattern of matrix and the pattern of linear operator , we characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility over antinegative commutative semirings without zero divisors
另外,利用矩阵模式和算子模式等工具，我们在非负无零因子半环上刻画了强保持幂零的线性算子和强保持可逆的线性算子 |
| 7. | The results that are quoted in this paper are classical conclusions . on the basis of the results . this paper discusses the invertibility of operators . ci operators and generalizes . some results about spectral theory of bounded operators and properties of mbekhta subspaces in terms of mbekhta subspaces
本文中引用的结论大都是此方面的经典结论。在此基础上，本文作者运用mbekhta子空间讨论了有界线性算予的可逆性， ci算子的判定。 |
| 8. | For a general linear model ( input matrix is deterministic ) , under a certain conditions on variance matrix invertibility , the two estimates can be identical provided that they have the same priori information on the parameter under estimation . even if the above information is unknown only for the optimally weighted ls estimate , the sufficient condition and necessary condition , under which the two estimates are identical , is derived . more significantly , we know how to design input of the linear system to make the performance of the optimally weighted ls estimation identical to that of the linear minimum variance estimation in case of being lack of prior information
在一般线性模型(即输入矩阵为确定性)下，当两种估计都利用有关被估参数的先验信息时，二者在方差阵可逆的一定条件下可达到一致；当最优加权最小二乘估计不利用此先验信息时，存在二者一致的充分条件和必要条件，进而找到一种设计输入矩阵的方法，使得在先验信息缺乏的条件下，仍可利用最优加权最小二乘估计达到与线性最小方差估计一样优越的估计性能。 |
| 9. | To overcome the shortcomings of differential geometry method in the respect of invertibility and dynamic state feedback , this paper discuss algebra control method . combining linear algebra with dynamic expansion , one method can decouple the nonlinearity through construct the root of nonlinear system by dynamic expanding
一种方法是采用线性代数理论与动态扩张算法相结合来对非线性系统进行解耦分析，通过运用动态扩张算法来构造非线性系统的根而达到对非线性系统解耦控制的目的。 |
