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If ris also irreducible in Z_nand f~n~κ≡fmodn,r(xfor all f∈Z_nthen we call n a Carmichael number of orderκmodulo r.Denote the set of all such numbers by C_κ,r(x.Define C_κ=∪_r(xC_κ,r(x,where rpasses through all monic irreducible polynomials over Z of degreeκ.We call elements of the set C_κCarmichael numbers of orderκ.ZHU and SUN[Journal of Sichuan University,42;1(2005), 47-51]first gave a necessary condition for Carmichael numbers of order 3.Then they gave a sufficient condition for Carmichael numbers of order 3,but did not find any such numbers less than 10~8 satisfying the sufficient condition.At last,they asked three questions;1.is the necessary condition also sufficient?

f∈Z_n，就称n是模r的κ阶Carmichael数，用C_κ，r(x表示所有这种数的集合，定义C_κ=∪_r(xC_κ，r(x，这里r跑遍Z中所有κ次首一不可约多项式，C_κ里面的元素就称为κ阶Carmichael数，C_κ称为κ阶Carmichael数集，朱文余和孙琦[四川大学学报，42；1(2005)，47-51]首先给出了3阶Carmichael数的一个必要条件；然后又给出了这种数的一个充分条件，并发现10~8内没有满足此充分条件的这种数；最后他们提出三个问题；一、问必要条件是否也是充分的？

Dress beauty to a woman is a necessary condition is not sufficient and necessary conditions.

服饰美容是做好一个女人的必要条件，不是充要条件。

Dress beauty is a woman do the necessary conditions are not sufficient and necessary conditions.

服饰美容是做好一个女人的必要条件，不是充要条件。

Missirlis in article [1]. At the same time, a sufficient condition for convergence of the PSD method is given to be compared when the coefficient matrix A of the linear system Ax = b is a symmetric, positively defective matrix. In §3.2, an example is given to state that the range of our sufficient condition is wider than theorem 3.3 of article [1]. On the other hand, following a.n analogous approach of [14] and starting the functional relationshipwe have a perfect analysis for the PSD method to converge and optimum valves for the involved parameters under different conditions.Under the assumptions that A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are real,we get necessary and sufficient conditions for the PSD method to convergence.The result is equal to theorem 1 of article [9].Under the same condition, we can see the optimal parameter and of corresponding spectral radius of thePSD method in [8]:(2)When A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are imaginary or zero,we get necessary and sufficient conditions for the PSD method to convergence.In chapter 3, the optimal parameter and of corresponding spectral radius of the PSD method are given by table 3.3. Moreover, under the assumption 0

Missirlis在文献[1]中定理3.3的不准确，同时给出了当线性方程组Ax=b的系数矩阵A为对称正定阵时，PSD迭代法收敛的一个充分条件与之比较，并且在§2.3中用实例说明了对于一部分矩阵而言本文得到的充分条件广于[1]中定理3.3的充分条件；另一方面，按照文献[14]的方法，我们从PSD迭代法的特征值λ与其Jacobi迭代矩阵B的特征值μ的关系式：出发，在不同条件下对PSD迭代法的收敛性和最优参数以及最优谱半径进行了完整的分析：(1)在系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为实数的条件下，给出了PSD迭代法收敛的充分必要条件，此结果与[9]中的定理1等价，此时最优参数及最优谱半径由[8]得：(2)第三章表3.3中给出了，当系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为纯虚数或零时的PSD迭代法的收敛范围和最优参数，并且我们可以得到当0

This paper is divided into two parts: The first part, mainly discussed the properties of unitary equivalence and the relation between unitary equivalence and similarity, introduced a unitary equivalent of the necessary and sufficient condition: Specht theorem; The second part of a major demonstration of the 11 normal matrix's necessary and sufficient conditions, given some important properties of normal matrix such as simultaneous diagonalization.

本文主要分为两部分：第一部分，主要讨论了酉等价的性质及酉等价与相似的关系，介绍了酉等价的充分必要条件Specht定理；第二部分，主要论证了正规矩阵的11条充分必要条件，给出了正规矩阵的一些重要性质

Any customer, once puts on record on-line, may input your demand to suggest as necessary, may inquire as necessary far progress situation which each place attorney handles a case outside the great distance, hundred lawyers website control data software guaranteed does not divulge your enterprise business secret, the case only then the trustee with attorney who handles a case can enter the above-mentioned plan the file receipt storehouse, in addition anybody all keeps them out.

任何一名客户，一旦在网上立案，可以随时输入您的需求建议，可随时询问远在千里之外各地律师办案的进展情况，百律网的控制数据软件将保证不泄漏您的企业商业秘密，案件只有委托人与办案的律师才能进该案的档案收据库，除此之外任何人都将被拒之门外。

It is inevitable to exist excessive water in the crude oil in the late exploitation of many outdate oil field and exploitation on the ocean flat. It is not valid to process oil very well without dealing with crude oil. It is necessary to have water-oil separation equipments for purifying and separating crude oil. Meanwhile, it is necessary to dispose oil from sewages to reach the national standard in the industrial sewage treatment, and the water-oil separation equipment is urgent need too.

在我国众多老油田开采的后期，以及海上石油平台的原油开采中不可避免的存在原油含水量较大，不经过处理无法有效的对石油进行深加工，亟需有效的液液分离设备对原油进行提纯和分离；同时在工业污水处理中也经常需要将废水中含有的油类去除以达到国家排放标准，这同样需要有效的液液分离设备。

Friday to improve the working environment: Line Products besides stick can reduce the pick-and-place parts and tools necessary time and necessary move, but also can help you reduce the risk of workplace injuries, because bar a major component of the outer product package Shikishima the plastic.

五 改善工作环境：线棒产品除了可以减少取放零件和工具所需要的时间和必要的移动外，还可以帮助你降低在工作场所受伤的风险，因为线棒产品的主要组件外层包敷着塑料。

At the north of China, especially in the vicinity of Xingtai City, the custom of civil marriage has also followed the trend of many traditional forms, such as when the man propose to "paste under the G","to send food basket"; bride married, it is necessary to "穿红coat,"push" yellow overshoe "wearing" mirror Huxin "Mongolia" red lid "; wedding the way," prompting Shooting ", her brothers" to send the pro-charge car ", encounter strange stone tree,井台mill, it is necessary to paste "Red Posts hi"; wedding team "should not turn back"; the bride to her husband at the entrance to "archery bow,""have saddle,""step红毡"; groom points at home through the front door,"long light," Caesar "guard sub -"vertical" grass stalk height "; door head to put" New Year cake,"heaven and earth to put the table" bucket ", set" Scale ";拜堂to" forage Caesar "; bride into the bridal chamber, it will take" in the face of a corner sit "......

在我国北方，尤其是在邢台市一带，民间婚嫁的习俗风尚至今还沿袭着许多传统形式，如男方求婚时，要"下庚贴"、"送食箩"；新娘出嫁时，要"穿红袄"、蹬"黄套鞋"、戴"护心镜"、蒙"红盖头"；迎亲途中"鸣锣放炮"，娘家兄弟"送亲押轿"，遇到奇石怪树、井台磨坊，要贴"红喜帖子"；迎亲队伍"不能走回头路"；新娘到了夫家门口要"拉弓射箭"、"过马鞍"、"踩红毡"；新郎家前门要点"长明灯"、撒"门卫子"、竖"秆草个儿"；门头上要放"年糕"，天地桌上要放"斗"、搁"秤"；拜堂时要"撒草料"；新娘入洞房后，要"面对墙角坐"……冀南一带及华北许多省市民间婚丧习俗大多出自"周公与桃花女"这个传说，而邢台市的周公村和桃花村就是这个传说的发祥地。

It is not necessary that man should be religious, but it is necessary that he should be philosophical.

人不一定应当是宗教的，但是他一定应当是哲学的。

Green function defined inphase space differs from one in coordinate space by its struc-ture which exhibits nonlocatity in coordinates and oscillatorybehavior with respect to momenta.

在相空间中定义的Green函数不同于通常坐标空间的Green函数，在结构上显示出对坐标的高度非局域性，而对动量则显示出振荡行为。

The upper front part of a saddle;a saddlebow.

前鞍桥马鞍前面的上部分；前鞍桥