幂零算子

In the first part,two methods calculating the coefficients of nilpotentclass normal forms are proposed.one is the iteration search method based onrepresentation theory of Li-algebra,and another is a new matrixrepresentation method based on the adjoint operator concepts,both are ableto be used to analyse the normal form problems with high orders and largedimensions efficiently.

在第一部分工作中，对于幂零类规范形的系数计算，分别提出了基于李代数表示论的迭代搜索的理论和方法以及基于共轭算子概念的新的矩阵表示的理论和方法，从而有效地解决了维数和阶数较高时的计算问题。

According to normalforms that we obtained,we study universal unfolding for some degenerate bifurcationcases of codimension three and some simple global characterizations.

利用共轭算子法研究了具有幂零线性部分和不具有Z2—对称性的非线性动力系统的2阶规范形、3阶规范和4阶规范形，讨论了几种余维3退化分岔情况下的普适开折问题及其一些全局特性。

In the end of this chapter,weprove a local nilpotency property of operators on modules(Theorem 2.3.3)whichis one of the main theorems of this work.

这一章的最后主要证明算子作用在模上的一个局部幂零性质（定理2.3.3），它是本工作的主要结果之一。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。