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Firstly, we apply block AOR method to find the least square solution of minimal norm to the rank deficient linear systems where A is a complex m*n matrix with rank k.

首先,我们把求解线性方程组的块加速超松弛迭代法应用于求解亏秩线性方程组的最小范数最小二乘解,其中线性方程组的系数矩阵A是秩为k的m*n复矩阵。

The abstract result contains several concrete results in the literature and can also be used to deal with some new cases for resonant differential equations.In the introduction, we briefly introduce the development process of the variational methods. In Chapter 2, we list some basic knowledges refering to the variational methods, including the Sobobev space,—△ operator, the weak solution and the minimizing sequence methods and some minimax theorems. In Chapter 3, we introduce the research process of Hamiltonian system of second order and the semilinear elliptic problems, using the methods introduced previously. In Chapter 4, we prove the main theorem of the thesis, and apply it to the problems in the previous Chapter, and can also be applied to some new resonant cases.

在前言中,简要介绍了变分法的产生、发展过程,在第二章中我们介绍了有关变分法的一些基本知识,包括Sobolev空间,—△算子,弱解,极小化序列方法和一些极小极大定理,在第三章中我们介绍了非线性项有界或满足次线性条件,以及它满足推广的Ahmad-Lazer-Paul条件时,二阶Hamiltonian系统和半线性椭圆问题的研究历程,最后在第四章中我们证明了本论文的主要定理,并把它应用到第三章的问题中,使得前面的几种共振的情形都可以统一到这个抽象的结果中。

In this paper the capacity of tree-flower in Edmonds theorem of graph theory is extended to minimum covering points and a computing formula of minimum covering points for non-dual graph is introduced.

文中把图论里Edmonds定理的树花容量扩展为最小复盖点,并得到了计算非偶图最小复盖点数的公式。

In this paper, the minimum sufficient set problem in bi-directed networks is studied.

研究在双向网络中的最小充分集问题,并把他转化为最小顶点覆盖问题。

Xiao zhang, pass me the monkey wrenches, the safety nut is relaxed, I want to

小张,把活动板手递给我,这颗保险螺帽松了,我要把糨它拧紧。

Xiao zhang, pass me the monkey wrenches, the safety nut is relaxed, I want to tighten it up.

小张,把活动板手递给我,这颗保险螺帽松了,我要把糨它拧紧。

Also come nightfall, lots of small riverside eateries, perched on stilts and ablaze in fairy lights, open their doors between the pier and Kritsada Rimkhong Resort. They are all much of a muchness foodwise although some turn the karaoke machine up louder than others, so have a wander and pick your place .

每到黄昏很多河滨小餐馆,其支桩伸入河中,小彩灯闪烁发光,在码头和Kritsada宾馆之间开门营业;每家餐馆都有很多食品,尽管一些商家把卡拉OK机声音开得较大声,你可以随便逛逛再选个座位。

Little girls always display their beautiful cloth to their fellow. Little boys always show their particular toys to their buddy. New-rich knocks out all his teeth, and replace them with gold teeth.

小女孩向同伴炫耀自己漂亮的衣服,小男孩向同伴炫耀自己独有的玩具;暴发户把满嘴白牙磕掉换上金牙,这更是炫耀。

No one ever places it in a nosegay; it is often trodden under foot, there are so many of them; and when they run to seed, they have flowers like wool, which fly away in little pieces over the roads, and cling to the dresses of the people.

苹果枝说。人们从来不把它扎成花束。人们把它踩在脚底下,因为它们长得太多了。当它们在结子的时候,它们就像小片的羊毛,在路上到处乱飞,还附在人的衣上。

No one ever places it in a nosegay; it is often trodden under foot, there are so many ofthem; and when they run to seed, they have flowers like wool, which fly away in little pieces over the roads, and cling tothe dresses of the people.

苹果枝说。人们从来不把它扎成花束。人们把它踩在脚底下,因为它们长得太多了。当它们在结子的时候,它们就像小片的羊毛,在路上到处乱飞,还附在人的衣上。

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Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

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