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Suppose G is a finite group, then QG is a semisimple Q-algera, obviously ZG is a Z-order of QG,we denote the maximal Z-order by ?.If G is not abelian, it is not an easy thing to determine г; if G is an abelian group, then QG is isomorphic to the direct sum of a finite number of number fields, and r is the direct sum of these rings of algebraic integers of those number fields, but which elements of QG belong to r is not clear.

设G是一个有限群，那么QG是一个半单代数，ZG是QG的一个Z-序，设Γ是QG的一个极大Z-序，当G是一个非交换群时，Γ的求解是困难的问题；当G是一个交换群时，QG同构于有限多个数域的直和，Γ相应的就是各数域代数整数环的直和，但Γ具体是QG中那些元素不清楚。

Title: Study on Decision Rule Optimization and Organization of Group Decision-making Abstract Group decision-making, as one of the basic forms of decision-making, plays an important role in economic and political fields due to the ever-increasing complexity of decision issue and the enhanced democracy awareness. Research of group decision-making is receiving more and more attention as the cutting edge of decision-making theory. Fruitful results are achieved in this field, while there are still some weak aspects for further research, especially in the organization and decision process ot group decision-making. Researches in those fields are instrumental in optimizing the organization and decision process of group decision-making. And we have made some exploration in this paper as follows.

随着决策问题的日趋复杂化和人们民主意识的增强，群体决策作为决策的一种基本形式，在政治和经济生活中占有越来越重要的地位，而群体决策作为决策理论研究的热点和前沿也在国内外方兴未艾，并取得了丰硕的成果，但也存在一些薄弱环节和需要深入研究的问题，特别是在群体决策的组织结构和决策过程方面，如群体决策的规则优化、决策规则的约束性质、群体决策中领导的影响、决策者之间的相关性对决策质量的影响、序贯群体决策中各种组织因素对其决策质量、决策效率、决策收益的影响等等。

Some nonexistence results for p-degenerate sub-elliptic first order evolution inequalities associated with the generalized Baouendi-Grushin vector fields are given. The method is an improvement of the admissible function method in Euclidean space. The proof hardly depends on the properties of the generalized Baouendi-Grushin vector fields.

通过改进欧氏的容许函数法，应用广义Baouendi-Grushin向量场的一些性质，选取特殊的容许函数，利用Hlder不等式和Young不等式，证明了由广义Baouendi-Grushin向量场构成的p-退化次椭圆一阶发展不等方程，在适当条件下非平凡弱解的不存在性。

So the formation of air gap is a coupled problem of temperature fields and stress fields in the billet.

因此，气隙问题是连铸坯温度场和应力场的耦合问题。

I want to learn some complexity theory,mathematics theory such as Computational number theory,Algorithmic Algebra,Algebraic function fields over finite fields and the group thoery.

在这半年里，我将系统地加深学习一些必要的数学知识，比如计算复杂性理论，计算性数论算法，群论，算法的代数学等等。

A research student. I want to learn some complexity theory, mathematics theory such as Computational number theory,Algorithmic Algebra,Algebraic function fields over finite fields and the group thoery.

当我正式进入大学院，成为院生的时候，在修士学习的第一年中，我学习一些算法研究和暗号理论的课程，我将学习一些比较难的暗号算法，比如椭圆曲线暗号，我还将学习电子署名，拟似乱数，电子透かし，认证，键管理，键回复，键预托和zero知识证明等等。

In this paper, we summarize the foundations of Algebraic function fields, algebraic curves over finite fields and algebraic geometry codes, then we focus on the dimensions of codes on the quotient of the hermitian curves, by using the theory of weierstrass semigroup and the idea of Ho...

我们在系统地总结了代数函数域，有限域上的代数曲线和代数几何码的基本知识的基础上，利用Weierstrass子半群理论，使用Homma和Kim的方法，讨论了Hermite曲线商域上码的维数问题，得到的主要结果如下： 1。

Quadratic algebraic function fields are studied here.Fundamental units forseveral types of such fields are determined explicitly.

本文研究了二次代数函数域，明显决定了几类实二次函数域的基本单位，决定了多类二次函数域的理想类数的下界，给出了类。。。

Posner is a federal circuit judge and also a writer of books and articles in a variety of fields, including antitrust, intellectual property, and other fields in which economics is applied to law, but also topical fields such as impeachment, contested elections, and national-security issues.

波斯纳是联邦巡回法院的法官，也是一位著述丰富的写手，他的书和文章包容万象，包括反垄断、识分子、产权以及能将经济学运用于法律分析的其他领域，此外还有一些时事话题，比如弹劾、选和国家安全。

Pretty boy 歌手:m2m 专辑:shades of purple I lie awake at night See things in black and white I've only got you inside my mind You know you have made me blind VERSE 2 I lie awake and pray That you will look my way I have all this longing in my heart I knew it right from the start M2M CHORUS Oh my pretty pretty boy I love you Like I never ever loved no one before you Pretty pretty boy of mine Just tell me you love me too Oh my pretty pretty boy I need you Oh my pretty pretty boy I do Let me inside Make me stay right beside you VERSE 3 I used to write your name And sometime I think I hear you call Right from my bedroom wall VERSE 4 You stay a little while And touch me with your smile And what can I say to make you mine To reach out for you in time CHORUS BRIDGE Oh pretty boy Say you love me too CHORUS My Love歌词歌手:Westlife an empty street, an empty house, a hole inside my heart, i'm all alone and the rooms are getting smaller. i wonder how, i wonder why, i wonder where they are, the days we've had, the songs we've sang together. and oh my love, i'm holding on forever, reaching for a love that seems so far, so i say a little prayer, and hope my dreams will take me there, where the skies are blue to see you once again, my love, over seas from coast to coast, to find the place i love the most, where the fields are green to see you once again, my love. i try to read, i go to work, i'm laughing with my friends, but i can't stop to keep myself from thinking.. i wonder how.. i wonder why i wonder where they r the days we had, the songs we sang together and oh my love..... i m holding on forever, reachign for the love that seems so far..... so i say a little prayer and hope my dreams will take me there, where the skies are blue to see you once again, my love, over seas from coast to coast, to find the place i love the most, where the fields are green to see you once again, to hold u in my arms, to promise u my love, to tell u from my heart..... what i m thinking offfff reaching for the love that seems so far.. so i say a little prayer.... and hope my dreams will take me there... where the skies are blue to see you once again, my love, over seas from coast to coast, to find the place i love the most, where the fields are green to see you once again, my love.

pretty boy 偷偷看你的脸心情变成晴天我向着窗外默默想念希望你能听得见你的好你的坏全部我都想爱你明不明白说不出来心中对你的依赖 Oh my pretty pretty boy， I love you 因为窈窕妹妹不会假装爱 Pretty pretty boy of mine 对你说声嗨 Oh my pretty pretty boy， I need you， oh my 窈窕妹妹只想爱说你不走，要你别走，请留下来看别人手牵手我越看越寂寞我想要你说只对我说说你心中只有我你明明很爱我明明不想要走为什么不敢付出太多是不是怕真爱上我 Oh my pretty pretty boy， I love you 因为窈窕妹妹不会假装爱 Pretty pretty boy of mine 对你说声嗨 Oh my pretty pretty boy， I need you， oh my 窈窕妹妹只想爱说你不走，要你别走，请留下来 Oh my pretty pretty boy 说你也爱我 Oh my pretty pretty boy， I love you 因为窈窕妹妹不会假装爱 Pretty pretty boy of mine 对你说声嗨 Oh my pretty pretty boy， I need you， oh my 窈窕妹妹只想爱说你不走，要你别走，请留下来 my love 一条空街一间空房子一个伤口在我心里我完全陷入孤独，感觉房子越来越小我不明白怎么了我不明白为什么我不知道它们都去了哪儿那些我们共同在一起的日子和共同唱过的歌哦，我的爱我将永远坚持为一个看似很远的爱情而坚持不懈所以我默默做了一个祈祷希望我的梦把我带到那个地方那个有蓝天的地方，我再次见到你，我的爱人跨越大海穿越海岸找到我最喜欢的地方那个绿数成荫的地方，我再次见到你，我的爱人我努力读书我每日工作我和朋友们说笑但我不能让自己停止想念你我不明白怎么了我不明白为什么我不知道它们都去了哪儿那些我们共同在一起的日子和共同唱过的歌哦，我的爱我将永远坚持为一个看似很远的爱情而坚持不懈把你抱在怀里向你承诺我的爱发自内心的告诉你你是我想要的全部为一个看似很远的爱情而坚持不懈

Do not gum up the work by telling mother what we are going to do .

别告诉母亲我们要干的事，那会把事情搞糟的。

In recent years, application of the partial prestressed concrete beam s is developed.

近年来，随着部分预应力砼梁应用的推广，发现我国规范所采用的名义拉应力法的计算结果不稳定。