极限元

We obtain that if any 〓 is discrete or elementaryand 〓 satisfies Condition A,then the algebraic limit G of group sequence 〓is discrete or elementary.

首先，我们不再仅仅考虑离散非初等群集〓的代数极限G，而是离散群或初等群群集〓的代数极限G，我们对〓上〓变换群中斜驶元及其不动点进行了细致研究，注意到任意一个斜驶元存在一个仅仅含有斜驶元的领域，从而证明了初等群群集〓的代数极限G仍然是初等群，进而我们得到了一个代数收敛定理：如果任一〓是离散群或者初等群并且〓满足条件A，那么，群列〓的代数极限G一定是离散群或者初等群。

Based on limit balance methodthree dimensional finite element method and discrete element method,computer analogue and calculations analysis are carried out for the K83+480～800 road segment of Songming～Daipu highway.

利用极限平衡法、三维有限元法和离散元法对嵩明-待朴高速公路K83+480～800路段边坡稳定性进行了计算机模拟及计算分析。

A boundary element method for 3-D limit and shakedown analysis is proposed.

本文提出了三维结构极限与安定下限分析的边界元方法。

An advanced branch and bound method which reduces the computer resolving time enormously and leads the reliability research of large-scale spatial frame structural systems close to practical use is presented on condition that the same computation accuracy is ensured.

导出了大型空间刚架结构系统某梁元断面达到塑性屈服极限时的修正刚度矩阵和相应的等效节点力向量；提出了在保证同等计算精度的条件下，可成倍地减少运算时间的改进分枝限界方法，使大型空间刚架结构系统的可靠性研究向实用化迈进；本文开发出可自动生成失效衡准，自动选择主要失效形式，追踪失效过程的计算机程序。

It provided a correct and reasonable mathematical model for the analysis of the ultimate bearing capacity and crankle stability of the thin-walled structure.

论文在比较了两种运动描述方法（完全拉格朗日法和更新拉格朗日法）异同点并分析了非线性几何关系及大变形下的弹性物理关系的基础上，基于增量虚功原理推导了几何非线性空间梁元单元切线刚度矩阵，采取分模块形式，分别表示了轴力、弯矩、双力矩对几何矩阵的贡献；通过球面显式荷载增量迭代式弧长法求解方法编制程序，很好地实现了几何非线性增量荷载的自动步长选择及全过程跟踪，为薄壁杆系结构的极限承载力分析和弯扭失稳分析，提供了较为精确合理的分析力学模型。

This article use the improved integral inequalities with the deviate variable and some skills of inequalities as well as related knowledge about second-order differential equation,to obtain the following results: the classification of limit point case or limit circle case and boundedness for second order differential or difference equation with deviative variable,discussed the classification for certain n-order differential equations,Criteria for the classification of second order differential equation with deviative variable.

本文利用推广的具有偏差变元的积分不等式，结合不等式的一些技巧以及常微分方程的相关知识对一类二阶具有偏差变元的微分方程及一类二阶差分方程极限圆型的分类问题作了相关的研究工作，并且讨论了一类n阶具有偏差变元的常微分方程解的平方可积性与有界性和一类二阶非线性具有偏差变元的微分方程解的有界性。

The mathematical programming formulation and related solution procedure are established by the traditional BEM. Through the discretization of space and time, the elastoplastic stress simulation method and reduce-basis technique are adopted to construct the self-equilibrium stress field. The numbers of variables and constraint equations in the resulting mathematical programming formulation are reduced greatly and then the dimension obstacle of computation in 3-D limit and shakedown analysis is overcome.

采用常规边界元方法建立了三维结构极限与安定分析的数学规划格式，通过对时间和空间的离散化，并采用弹塑性模拟法构造自平衡应力场和引入减缩基技术，大大减少了所形成的数学规划格式中的未知变量和约束方程的数目，有效地克服了三维结构极限与安定分析中的维数障碍问题。

Deviate argument; Limit circle case; Limit point case; The boundedness of solutions; Integral inequality

基础科学，数学，数学分析偏差变元；极限圆型；极限点型；有界性；积分不等式

The so-called AT-algebras are inductive limits of finite direct sums of matrices over the extension algeras of circle algebra by K, where K is the C~*— algebra of all compact operators on a separable infinite dimensional Hilbert space.

若V_*与V_*同构，且保持单位元等价类；T与T仿射同胚，且同构映射与同胚映射相容，则存在E与E′的同构导出上述同构和同胚，所谓AT-代数即为圆代数通过κ的本质酉扩张的矩阵代数的有限直和的归纳极限，这里κ为可分的无限维复Hilbert空间上的紧算子全体，不变量中的V*为三变元Abel半群，T为迹态空间，[1]为单位元所在的Murray-von Neumann等价类，r_E为连接映射。

November 21 to 25 of the three trading days, Haitong Securities on a daily basis by hundreds of millions of selling shares closed at the limit, fell from 13.31 yuan to 9.7 yuan, although the price limit in a row, the market is still rare Cares about buying because the market is expected to pass the sea there is a larger space down, but the accident was a big deal of excitement, 31 pen during a big deal to the price of 14.35 yuan (20% of the market value in excess of) hundreds of millions of shares traded,"This is a typical" fool to buy ", it was a big deal for use of the benefits."

11月21日至25日三个交易日，海通证券每天的证券买卖股票收于数以亿计的极限，从一十三点三一元下降到9.7元，虽然连续价格上限，市场仍然是罕见的关怀在购买，因为市场预期通过海上有一个更大的空间下降，但事故是在什么大不了的14.35元的价格兴奋大问题，31笔（20过剩的市场价值％）股票的交易数以亿计，&这是一个典型的&傻子买&，现在是使用的好处一个大问题。&

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。