收敛

As a result of the interpretation of the discrete random walk model,the stability and convergence of the numerical method in a bounded domain are discussed.

接下来提出求解有界区域内的Lévy-Feller对流-扩散微分方程的显式差分格式，并且利用前面随机游走模型中的结论证明了显式格式的稳定性和收敛性。

We prove the L~1-stability of weak solutions for arbitrarily large data on multi-dimensional bounded or periodic domain or whole space.

作为研究的出发点，在第三章里，我们首先考虑弱解的L~1稳定性，通过得到关于密度梯度的新熵估计和精细的能量估计，我们可以证明逼近解的收敛性。

In Chapter Three, we use the method of interpolation spline of differential operater to come up with the reproducing kernel in H01 with respect to bounded linear operator in H10. Then we use the reproducing kernel to develop the expression of the best approximating of bounded linear operator in H10 and prove its convergence.

第三章中，对于H_0~1中的有界线性算子，用微分算子插值样条函数的方法给出了H_0~1空间中的再生核，利用此再生核给出了H_0~1上的有界线性算子的最佳逼近的表达形式，并证明了其收敛性。

Based on general orthogonal polynomials and general hybrid orthogonal functions, a new linear, continuous and bounded operator has been proposed in the dissertation. The definitions and properties of PGOPO are given, a various operational rules of the operator have been set up in a systematic way, the convergence of approximate solutions has been discussed. After introducing PGOPO and discussing its main properties and operational rules, a systematic methodology for solving various control problems via PGOPO has been developed.

本文在广义正交多项式及广义混合正交函数的基础上，提出了一种新的线性、连续、有界算子—分段广义正交多项式算子，探讨了这种算子的基本性质，并系统地建立了与该算子有关的各种运算规则及收敛性结论，给出了它在控制理论中的各种应用。

However,in this paper,it is first introduced sequential convergence C and L*- space which is a vector space giving some relation:xmCx between sequences and points in it,then the bounded set is defined in vector space.

设C为一序列收敛关系，T是由C确定的拓扑，B是由C确定的有界集族，则有B=BT(C，并进一步从L*-空间构造了包囿拓扑向量空间。

We give a brief proof of the existence theorem of Supremum and Infimum of a bounded set of fuzzy numbers given by Wu cong-xin and Wu chong in [30] . It is used to establish the monotone convergence theorem and the nest theorem of closed intervals on E〓,τ

给出了吴从忻、吴冲[30]得到的模糊数集的确界存在定理的一个简洁证明，并利用此定理在空间E〓，τ(l中建立了模糊数序列的单调收敛定理和闭区间套定理。

The results show that Cauchy's criterion for convergence, sign theorem, and boundedness theorems are kept.

结果表明，柯西收敛准则、符号定理和有界定理仍然成立。我们的结果推广了经典复分析中的已知结论。

Moreover object convergence approach also may with cutting plane method, branch and Bound Method and so on the method unify the use, thus acceleration solution process.

而且目标收敛法还可与割平面法、分枝估界等方法结合起来使用，从而加速求解过程。

Moreover, if the optimization problem has certain special feature, the simpler relaxation methods can be provided. For example, considering a generalized geometric programming problem, relevant relaxation linear programming can be obtained using its special structure. Based on the branch and bound method, a linear relaxation algorithm of global optimization is presented for generalized geometric programming, and the convergence of the algorithm is also proven.

此外，当优化问题具有某种特殊性质时，我们能给出更加简便的松弛化方法，如考虑广义几何规划问题，能充分利用其特殊结构，建立了广义几何规划问题的松弛线性规划问题；在分枝定界技术的基础上，提出了一个求广义几何规划全局解的线性松弛算法；证明了算法的收敛性。

Leop. Bloom there for a languor he had but was now better, he having dreamed tonight a strange fancy of his dame Mrs Moll with red slippers on in pair of Turkey trunks which is thought by those in ken to be for a change and Mistress Purefoy there, that got in through pleading her belly, and now on the stools, poor body, two days past her term, the midwives sore put to it and can't deliver, she queasy for a bowl of riceslop that is a shrewd drier up of the insides and her breath very heavy more than good and should be a bullyboy from the knocks they say, but God give her soon issue.

林奇、一苏格兰人、威尔。马登、为亲自下赌注之马伤心不已之托。利内翰和斯蒂芬。迪。利奥波。布卢姆原为解乏而来，现已略恢复元气。今晚彼曾做一奇梦：其妻摩莉足登红拖鞋，身着土耳其式紧身裤，博闻多识者谓此乃进入一个新阶段之征兆。普里福伊太太系住院待产妇[109] ，惜预产期已过二日，仍卧于产褥上，助产士焦急万分，不见分娩。灌以可充作上好收敛剂之米汤一碗，亦呕吐之，且呼吸无比困难。

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。