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It consists of the next three aspects: firstly, we study Murthys' open problem whether the augmented matrix is a Q0-matrix for an arbitary square matrix A , provide an affirmable answer to this problem , obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the Graves algorithm can be used to solve linear complementarity problem with bisymmetry Po-matrices; Secondly, we study Murthys' conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study Pang's conjecture , obtain two conditions when R0-matrices and Q-matrices are equivelent and some properties about E0 ∩ Q-matrices; Lastly, we give a counterexample to prove Danao's conjecture that if A is a Po-matrix, A ∈ E' A ∈ P1* is false, point out some mistakes of Murthys in [20] , obtain when n = 2 or 3, A ∈ E' A ∈ P1*, i.e.

本文分为三个部分,主要研究了线性互补问题的几个相关的公开问题以及猜想:(1)研究了Murthy等在[2]中提出的公开问题,即对任意的矩阵A,其扩充矩阵是否为Q_0-矩阵,给出了肯定的回答,得到充分矩阵的扩充矩阵是充分矩阵,并讨论了Graves算法,证明了若A是双对称的P_0-矩阵时,LCP可由Graves算法给出;(2)研究了Murthy等在[6]中提出关于半正定矩阵的猜想,给出了半正定矩阵的一些充分条件,并研究了Pang~-猜想,得到了只R_0-矩阵与Q-矩阵的二个等价条件,以及E_0∩Q-矩阵的一些性质;(3)研究了Danao在[25]中提出的Danao猜想,即,若A为P_0-矩阵,则,我们给出了反例证明了此猜想当n≥4时不成立,指出了Murthy等在[20]中的一些错误,得到n=2,3时,即[25]中定理3.2中A∈P_0的条件可以去掉。

We posed the concept of sufficient intersection about s(1≤s≤n) algebraic hypersurfaces in n-dimensional space and proved the dimension of polynomial space Pm(which denotes the space of all multivariate polynomials of total degree≤m) on the algebraic manifold S=s(f1,…, fs) where f1(X=0,…, f s=0denote s algebraic hypersurfaces of sufficient intersection, then gave a convenient expression for dimension calculation by using the backw ard difference operator.

给出了n维空间中s(1≤s≤n)个代数超曲面充分相交的概念,证明了n元m次多项式空间Pm在充分相交的代数流形S=s(f1,…, fs)(f1=0,…, fs=0表示s个代数超曲面)上的维数,并利用倒差分算子给出一个方便计算的表达式;构造了沿代数流形上插值适定结点组的叠加插值法;证明了在充分相交的代数流形上任意次插值适定结点组的存在性;给出代数流形上插值适定结点组的性质和判定条件。

The well limit behavior can be used to get sufficient conditions for an infinite object to be approximable, for a theory to be limit decidable and for an incremental computation to be correct.

良极限行为可以用于获得如下无穷形式对象可逼近的充分条件、使用极限判定方法的充分条件和增量式计算正确性的充分条件。

It is proved that the choice function must satisfy the axiom of consistency if the choice function meets the axiom of substitutability together with quotafilling condition; then, it is driven that the choice function is a path independence choice when it satisfies the substitutability and consistency condition.

首先证明了在替代性原理的前提下,选择函数定额充分是满足一致性原理的充分条件;得出了当选择函数满足替代性和定额充分条件时,必定满足路径无关性选择的结论。

Huang and Lin proposed the weak solution concept for Backward Stochastic Differential Equation This paper based on the predecessor's work , gives the weak solution concept for Backward Stochastic Differential Equation with continuous martingale,uses the Girsanov transformation, obtains its weak solution of the existence of a necessary and sufficient conditions, and on this basis obtains its weak solution of the existence of sufficient conditions,these sufficient conditions weakened the drifting coefficient which requested in the existence uniqueness of strong solution to satisfy the Lipschitz condition the request.

本文在前人研究的基础上,给出由连续鞅驱动的倒向随机微分方程弱解的概念,利用Girsanov变换,得到其弱解存在的存在的一个充分必要条件,并在此基础上得到了其弱解存在的一些充分条件,这些充分条件减弱了在强解的存在唯一性中要求的漂移系数满足Lipschitz条件的要求。

Among those; studies, Liu and Bek have obtained many important results for the theory and applications of Banach spaces and their geometry on complex number,(see [3],[41])Here, we have investigated the TP modulus of convexity and TP modulus of smoothness, on the one hand, we have defined a class of new spaces called uniformly TP convex ,on the other hand, we have extended martingale inequalities and the martingale spaces.This article is divided into four parts, in the first part, we define the TP modulus of convexity and TP modulus of smoothness of Banach space, and prove that the space which is characterized by uniform convexity is same as the space which is characterized by TP uniform convexity. Then we give TP q-uniformly convex and TP p-uniformly smoothable characterization of the Banach space. At the same time, we prove the famous renormed theorem.

本文分为四部分,第一部分在Banach空间上定义了一个新的TP凸性模和TP光滑模并证明了在Banach空间上它分别和一致凸性和一致光滑性刻划的空间是同构的,即如果Banach空间X是一致TP凸的充分必要条件是存在一个等价范数,使得在此范数下,它是一致凸的;Banach空间X是一致TP光滑的充分必要条件是存在一个等价范数,使得在此范数下,它是一致光滑的,我们还分别得出了判定一致TP凸和一致TP光滑的一些充分必要条件,同时还证明了箸名的重赋范定理。

We first show some properties of such operators and give an explit description about the image of a linear bounded operator on a linear normed space. Then based on these results, we show the mean ergordic theorem on a C*-bial-gebra and get a sufficient and necessary condition for a linear functional to be Haar measure. Finally we discuss the sufficent conditions for the existence of Haar measure on C*-bialgebras.

本文首先通过考察这样算子的性质和刻画赋范线性空间中连续线性算子的像集的性质,证明了C*-双代数中的一个平均遮历定理,得到了C*-双代数中的线性泛函是 Haar 测度的充分必要条件;利用遍历定理和这个充分必要条件探讨了C*-双代数中 Haar 浏度存在的一些充分条件。

The company mainly produces washing machines, dryers, Screed machines, dry cleaning machines, all closed dry cleaning machines, machine oil, and bake one-eluting and other equipment, the company has perfect modern enterprise system, high-quality professionals and Live from the mode of operation, products可充分满足around the dealers and users of the diversity and high quality products.

公司主要生产水洗机,烘干机,熨平机,干洗机,全封闭干洗机,石油干洗机,洗脱烘一体机等多种设备,公司拥有完善的现代企业制度,高素质的专业人才及领活的经营模式,产品可充分满足各地经销商及用户对的多样化和高品质产品的需求。

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

Now day's main competitions are the competition of technology and intelligence.But all these are attributed to the best use of its potential.Hence,how to realize this has become amajor subject.While the most complicated and difficult factor is how to encourage employees and give fuel play of their potentials.Since the policy of opening the country up to the world,the payment reform for the material promotion has been anot topic.But heather can give full play of the payment encouragement only on the basis of material promotion,which has ravishingly aroused people's consideration.However,no doubt,one of the main secrets for the sustainable development of an enterprise is to establish areasonable and effective payment system to basically ensure the sup erior competition of human resource and turn it into the advantage of market competition.

企业赖以生存和发展的基础可以概括为五种资源:资金、财产、技术、信息和人力,在这五种资源中,最重要的是人力资源当今的竞争主要是科技的竞争、智力的竞争,而这些归根结底都将是人力资源开发及其潜能充分利用的竞争所以,如何实现人力资源开发及其潜能的充分利用是企业公认的一大课题,而其中最为复杂和困难的,就是如何做好人员激励,使其潜能充分得到发挥改革开放以来,以提升物质利益为主题的薪酬改革一度成为了我国企业改革的暖门话题,而仅仅靠提升物质利益是否就可以充分发挥薪酬的激励作用也日益引起了人们的思考但不可否认企业能可持续发展的重要秘诀之一,应是建立合理有效的薪酬体系,从根本上保证人力资源的竞争优势,并将之转化为市场竞争的优势在本文中,笔者的主

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I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里,举止就文雅一些,因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计,这件高贵的制服是香港本土制造,是我们第一套不配帽子的制服。

Do not 'inflate' your achievements and/or qualifications or skills .

不要 '夸大' 你的业绩或成果,条件或者技能。