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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。

The only game that was decided by less than 10 points was last Friday's 108-107 win over Miami on Kobe Bryant's self-acknowledged lucky 3-pointer that banked in at the buzzer.

唯一一场分差在10分以内的比赛是上周五108-107战胜热火的比赛。科比的三分绝杀使他们继续站在连胜的跑道上。

Theonly game that was decided by less than 10 points was last Friday's108-107 win over Miami on Kobe Bryant's self-acknowledged lucky3-pointer that banked in at the buzzer.

唯一一场分差在10分以内的比赛是上周五108-107战胜热火的比赛。科比的三分绝杀使他们继续站在连胜的跑道上。

If make most greatly,be big forward possible still, one when had become him because of 3 minutes of shoot a basket of exterior line basically gets minute of measure, his mobile area and time also more is in outside 3 minutes of lines, big forward place should have such technical characteristic.

假如叫大郅是大前锋还是可以的,因为外线的三分投篮已经成了他的一项主要得分手段,他的活动区域和时间也更多的在三分线外,这样的技术特征正是大前锋所应该具备的。

Through hang together the simplex data model based on dissection and conventional GIS data model, we develop a integrated and polymorphic model, object oriented unified model of tessellated simplex and conventional GIS, which convenient to inherit and congregate. The model manage the abstracted data accord to 4 level factor, that is geometry object model, topologic geometry object view model and geography object model.

论文采用面向对象的方法把基于剖分的单纯形数据模型与传统的GIS数据模型结合在一起,提出并建立了一个便于继承、组合、多态的较完整的三维数据模型与结构一面向对象的单纯形剖分与GIS一体化三维数据模型。

The home team gave the now 9-4 starter some immediate support, scoring four off Ervin Santana in the first. Rodriguez blooped an RBI single, and Matsui launched a rocket to the upper deck in right for the final three.2 d E# I% g2 t*~4 Q

而这支主场球队给了他们目前拥有9胜4败成绩的先发投手快速的支援,在第一局就从Ervin Santana那里拿下4分,Rodriguez把球打到内外野手之间形成一分打点一垒安打,松井则射出一发击中右外野上层看台的炮弹,拿下后面的三分。

Sunday evening he put his signature with a decisive goal in the match against Genoa: a tap-in from a Nedved pass, worth three points, that allow the Bianconeri to remain alone in second place, three points behind Inter Milan.

周日晚在对热那亚的比赛中又打进决定性的一粒进球:接内德维德的助攻,垫射入网,帮助球队全取三分,并且独自继续排在积分榜第二的位置,以三分落后于国际米兰。

Quentin Richardson hit a 3-pointer with 2:44 to play to put the Heat in front before Wade scored nine of their final 11 points.

理查德森在比赛还剩2:44秒时命中三分使热火领先,随后就是韦德的表演时刻,他拿下了球队最后11分中的9分。

The fully inseparable bright tripartite entangled state was experimentally generated using the NOPA at deamplification and the linear optical system consisting of polarization beam splitters and half wave plates. The variances of the sum of the amplitude quadratures of the three obtained optical modes and the relative phase quadratures among them is respectively 3. 28dBm and 3. 18dBm below the corresponding Shot Noise Limit.

利用运转于参量反放大状态的NOPA和偏振分束棱镜及半波片,从实验上产生了完全不可分的明亮三组份纠缠态光场,所产生的纠缠态具有三模正交振幅分量和与相对正交位相分量差的起伏方差低于散粒噪声极限的特性。

Alternative layers of target material 〓 are irradiated with (47.5 MeV/u)〓 ions, the ternary fission events of hot nuclei are verified and the probabilityratioes of ternary fission relative to binary fission with projectile energy from25Mev/u to 47.5MeV/u are measured and reprodurced with calculation result ofstatistical cascade fission model program written by myself. The fact that ternaryfission at low excitation energy come from cascade fission is shown.

5MeV/u〓束轰击Bi靶时,用叠层靶技术,实验证明了热核三分裂变确实存在,并测量了25MeV/u~47.5MeV/u 〓三分裂变相对于二分裂的三二比的激发曲线,利用自编级联统计模型程序,模拟了低温热核的三分裂相对于二分裂的几率,结果也表明在较低激发时热核三分裂是级联三分裂。

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As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸,那乌黑、忧郁的眼睛,她便会相信,他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失

But because of its youthful corporate culture—most people are hustled out of the door in their mid-40s—it had no one to send.

但是因为该公司年轻的企业文化——大多数员工在40来岁的时候都被请出公司——一时间没有好的人选。