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Therefore, in order to offer reference to readers, the paper systematically expound and prove the eigenvalue of special matrix that base on idempotent matrix, antiidempotent matrix, involutory matrix, anntiinvolutory matrix, nilpotent matrix, orthogonal matrix, polynomial matrix, the shape of , matrix, diagonal matrix, invertidle matrix, adjoint matrix, similar matrix, transposed matrix, numerical matrix, companion matrix, and practicality and superiority of the achievement was showed by some examples.

为此本文系统地阐述幂等矩阵，反幂等矩阵，对合矩阵，反对合矩阵，幂零矩阵，正交矩阵，多项式矩阵，形为：，矩阵，对角矩阵，可逆矩阵，伴随矩阵，相似矩阵，转置矩阵，友矩阵一系列特殊矩阵的特征值问题并加以证明，并通过一些具体例子展示所得成果的实用性和优越性。

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。

Assume a Lie algebra g has a form B which has all the useful properties of Killingform:bilinearity nondegeneracy,symmetry and invariance.Note that for such a Liealgebra the adjoint representation is equivalent to the coadjoint representation.We callit a symmetric self-dual Lie algebra and the form B an invariant scalar product.

在第一部分的最后一节，我们引进了拟Heisenberg代数的概念，证明了这些李代数均为具有非极大秩的CN李代数，进一步我们还证明了这些CN李代数构成的集合与极大秩幂零李代数构成的集合之间存在着1-1对应关系。

Because of its adjustability, The Flying Sky Table is particularly suitable for small apartments.

它的造型不是特意地去设计，而是自然的，这个自然是利用了零料的自然的造型。

A phase advancer has a main AC-AC frequency conversion circuit consisting of thyristors.When sampling circuit detects the zero passage signal produced in rotor current of motor,main circuit controlled with advanced microcomputer controlling technique will change the AC voltage of 380V,50HZ into compensating voltage with the same frequency as that of rotor voltage and rotor current 90°in phase lay to achieve the goal to raise the power factor of the motor.

由可控硅构成的交变频主电路，在采样电路检测到电机转子电流产生的过零信号后，经过先进的微机控制技术控制主电路，将380V、50HZ交流电压转换成转子频率相同，相位滞后转子电流90°的补偿电压，达到提高电动机功率因数的目的。

When the relative velocity between missile and target is high, the change of the LOS will not be kept zero but vibrate. It can result in the system unsteady. A new SMG is designed. It do not request keeping the change of the LOS be zero all the time, but relax restriction advisably and automatically as missile approach target.

针对这一问题，设计了一种新型滑模制导律，其并不要求时时将视线角率控制为零，而是随着弹目标距离的减小，自动适当地放宽对视线角率的约束，从而有效缓解了传统滑模制导带来的强振荡问题。

The derivative nonlinear Schrodinger equation is, however, an open and important issue both in theoretical and applied aspects. The DNLS equation with nonvanishing boundary conditions is solved by introducting an affine parameter and we find that it supports a rich set of soliton solutions.

大部分完全可积的(1+1)维非线性偏微分方程，特别是有明确物理应用的方程的孤子解已经用反散射变换等方法得到，但还剩下一些难题，变形的非线性薛定谔方程在非零边值下的反散射变换就是其中一个。

So they go out in a loose procession something after the manner of a straggling funeral.

于是，他们乱哄哄地走了出去，仿佛是一个零零落落的出殡行列。

Agee compares Nielsen exit, your the layout that Nielsen investigates the market to come for years in Chinese viewing rate clears afresh.

艾杰比尼尔森的退出，令尼尔森在中国收视率调查市场多年来的布局重新归零。

Those who joined the agency in the shop a friend, hands-shop will take you from "zero," to open your own shop!

凡是在本店加盟代理的朋友，本店将手把手的带你从"零"开始，开启属于你自己的小店！

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。