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.

本文分為三個(gè)部分思思精品视频在线观看，主要研究了線性互補(bǔ)問題的幾個(gè)相關(guān)的公開問題以及猜想：(1)研究了Murthy等在[2]中提出的公開問題，即對(duì)任意的矩陣A欧美性爱视频免费在线看，其擴(kuò)充矩陣是否為Q_0-矩陣福利在线视频观看，給出了肯定的回答，得到充分矩陣的擴(kuò)充矩陣是充分矩陣亚洲大片一区二区跑去，并討論了Graves算法久久精品视频一区二区，證明了若A是雙對(duì)稱的P_0-矩陣時(shí)，LCP可由Graves算法給出；(2)研究了Murthy等在[6]中提出關(guān)于半正定矩陣的猜想日韩制服无码人妻师生，給出了半正定矩陣的一些充分條件日韩中文福利片观看网站，并研究了Pang~-猜想，得到了只R_0-矩陣與Q-矩陣的二個(gè)等價(jià)條件手机欧美性交黄色视频看片，以及E_0∩Q-矩陣的一些性質(zhì)4455在线看片；(3)研究了Danao在[25]中提出的Danao猜想，即手机看片,你懂的，若A為P_0-矩陣ww黄色一级视频，則，我們給出了反例證明了此猜想當(dāng)n≥4時(shí)不成立鲁鲁A片特级特色黄色影片，指出了Murthy等在[20]中的一些錯(cuò)誤，得到n=2十八岁成年网站，3時(shí)97精品久久久中文字幕免费，即[25]中定理3.2中A∈P_0的條件可以去掉。

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.

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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.

良極限行為可以用于獲得如下無窮形式對(duì)象可逼近的充分條件99久久99久久久精品齐齐、使用極限判定方法的充分條件和增量式計(jì)算正確性的充分條件。

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.

首先證明了在替代性原理的前提下丝袜第一页，選擇函數(shù)定額充分是滿足一致性原理的充分條件www性爱；得出了當(dāng)選擇函數(shù)滿足替代性和定額充分條件時(shí)，必定滿足路徑無關(guān)性選擇的結(jié)論性爱爱视频网站。

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礎(chǔ)上333aaa国产精品，給出由連續(xù)鞅驅(qū)動(dòng)的倒向隨機(jī)微分方程弱解的概念，利用Girsanov變換国产足交丝袜美女视频网站，得到其弱解存在的存在的一個(gè)充分必要條件国产一区精品推荐在线播放，并在此基礎(chǔ)上得到了其弱解存在的一些充分條件，這些充分條件減弱了在強(qiáng)解的存在唯一性中要求的漂移系數(shù)滿足Lipschitz條件的要求国产免费永久黄色精品。

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.

本文分為四部分一级毛片免费看高清视频在线，第一部分在Banach空間上定義了一個(gè)新的TP凸性模和TP光滑模并證明了在Banach空間上它分別和一致凸性和一致光滑性刻劃的空間是同構(gòu)的，即如果Banach空間X是一致TP凸的充分必要條件是存在一個(gè)等價(jià)范數(shù)，使得在此范數(shù)下插操水视频，它是一致凸的狼友视频-首页；Banach空間X是一致TP光滑的充分必要條件是存在一個(gè)等價(jià)范數(shù)，使得在此范數(shù)下www.xx日本黄色视频.com，它是一致光滑的国产淑女色视频，我們還分別得出了判定一致TP凸和一致TP光滑的一些充分必要條件，同時(shí)還證明了箸名的重賦范定理操逼视频大全网站。

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.

本文首先通過考察這樣算子的性質(zhì)和刻畫賦范線性空間中連續(xù)線性算子的像集的性質(zhì)能看av网站，證明了C*－雙代數(shù)中的一個(gè)平均遮歷定理，得到了C*－雙代數(shù)中的線性泛函是 Haar 測(cè)度的充分必要條件力色阁国产；利用遍歷定理和這個(gè)充分必要條件探討了C*－雙代數(shù)中 Haar 瀏度存在的一些充分條件激情一级。

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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在文獻(xiàn)[1]中定理3.3的不準(zhǔn)確亚洲美女淫荡视频，同時(shí)給出了當(dāng)線性方程組Ax=b的系數(shù)矩陣A為對(duì)稱正定陣時(shí)清纯美女被操，PSD迭代法收斂的一個(gè)充分條件與之比較，并且在§2.3中用實(shí)例說明了對(duì)于一部分矩陣而言本文得到的充分條件廣于[1]中定理3.3的充分條件日本va欧美在线看免费；另一方面国产在线观看精品5555，按照文獻(xiàn)[14]的方法，我們從PSD迭代法的特征值λ與其Jacobi迭代矩陣B的特征值μ的關(guān)系式：出發(fā)先锋每日资源网站，在不同條件下對(duì)PSD迭代法的收斂性和最優(yōu)參數(shù)以及最優(yōu)譜半徑進(jìn)行了完整的分析：(1)在系數(shù)矩陣A為(1久久久久一级无码免费视频，1)相容次序矩陣且對(duì)角元全不為零，其Jacobi迭代矩陣B的特征值全為實(shí)數(shù)的條件下黄色在线观看1区，給出了PSD迭代法收斂的充分必要條件不卡欧美在线视频免费观看网站，此結(jié)果與[9]中的定理1等價(jià)，此時(shí)最優(yōu)參數(shù)及最優(yōu)譜半徑由[8]得：(2)第三章表3.3中給出了久久费视频黄片视频，當(dāng)系數(shù)矩陣A為(1中国激情视频网，1)相容次序矩陣且對(duì)角元全不為零，其Jacobi迭代矩陣B的特征值全為純虛數(shù)或零時(shí)的PSD迭代法的收斂范圍和最優(yōu)參數(shù)国产一级女高潮拍拍，并且我們可以得到當(dāng)0

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