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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。

A 2 minute bell at half-time could be introduced just like the theatre, how posh !

半场时,有可能会采用2分钟的铃声

Semi-active control algorithms can make some seismic responses of bridge nodes neighboring the dampers to produce acute magnifying effect. The continuous type semi-control algorithms can mitigate the ""needlepoint"" phenomenon well because they operate the damping force more gently, and their acceleration-magnified effect are more mitigatory than that of switch type algorithms.

半主动控制算法会使得阻尼器附近桥梁结点的某些地震反应会产生剧烈的放大效应,"连续型"控制算法由于能够较为平缓地施加阻尼力,能够较好地减轻"针尖"效应,其加速度放大效应比"开关型"控制算法缓和,而采用主动控制时没有出现加速度放大效应。

Magnet is attracted to both coils, and as a result feels no net force although it

一扭矩,但在这磁铁方向是被固定向上的)。当至第二半圈整个条件相反时

It is concluded that with the formation of PEG modified network, a larger matrix deformation and higher crack propagation energy can be achieved.

在"半互穿网络"的增韧模型中,聚乙二醇的加入增加了不饱和聚酯的自由体积,在体系受冲击时提高某些链段的活动能力;但这种网络抵抗外力的变形能力有限的。

We cosider a class of semilinear elliptic systems with the Neumann boundary value condition by using variational methods, two existences theorem are proved for under critical exponents and critical exponents.

利用变分法讨论了一类带Neumann边界条件的半线性椭圆方程正解的存在性,并得到了在下临界指标时的两个存在性定理。

Order approximately 2 feet more than the length of each tread to allow for cuts, waste and tread returns Newels (one is necessary of every transition) Long Block Newels Select a long block newel when transitioning at a balcony or landing Newel Mounting Hardware Iron Newels Select one newel for each transition and one newel mounting kit Half Newel or Rosette select one half newel of the same style as your full newel for each connection into a wall.

为大约200英尺的长度超过每胎面允许削减浪费和效益胎面newels长座newels责长时转座楼梯阳台或降落在硬件安装楼梯铁楼梯newels责每一个过渡和一包半楼梯登楼梯或楼梯花环责一半作为你的风格完全一样连接到每一个楼梯墙。

September 12, this newspaper reported jade King apartment tenants normal quality problems lead to living in this reporter went to interview the person responsible for the project, was recently sent to the head of maintenance commitments half later, how to conduct maintenance work.

9月12日,本报报道玉景公寓质量问题导致住户无法正常居住,在本报有记者前去采访该项目负责人时,得到了该负责人近期派人维修的承诺,半个多月过去了,维修工作进行得怎样了。

When the siren sounds,when the white and red flag is ripped in two pieces,when NKVD relentlessly shoots the heads of those fathers,brothers,sons reciting Lord's prayer in unison,my chest is filled with disapointment and indignation,my heart is bleeding.

当汽笛鸣响,当那面红白旗被撕成两半,当苏军毫不手软的向那些一齐向上帝祷告的父亲,儿子,兄弟们射击时,我的胸中充满失望和愤怒,我的心在滴血。。。

For regular topology surface, intermediate surface local texture mapping are used; for irregular topology surface, subdivision surface local texture mapping are used. So different topology surface using different texture mapping methods can solve the contradiction between texture effect and processing speed when they are dealt with by single method. The three judge conditions of texture distortion in the process of mapping onto the sphere surface are discussed and the exiting algorithms of mapping are analyzed, the new algorithms of mapping onto the sphere surface are presented. In order to enhance the realistic of graphics, a new function of wood texture is presented. OpenGL is also introduced in this papers and some realization examples of texture mapping based on OpenGL under the environment of VC++ and POV-RAY are presented in some chapters.

对于简单拓扑表面,利用改进的两步纹理映射,对于复杂拓扑表面利用新的面片分割算法,初步解决了颜色纹理中速度与走样之间的矛盾;通过对球面纹理时纹理不变形的三个判断条件的研究,分析了现在各种球面纹理映射算法,并在此基础上提出了一种基于等面积的半球面纹理映射算法,明显减少了球面纹理的纹理变形;针对现有的木纹纹理中,两种表示木纹的颜色差距表现出的颜色突变问题进行研究,提出对这两种颜色进行线性插值或二次插值,使生成的木纹纹理颜色更加连续,更加逼真;在VC++环境下,通过调用Open GL的图形库及在Pov-Ray软件环境下,实现了参数化纹理、球面纹理、凹凸纹理及木纹纹理等各种算法。

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It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发,分析对称连杆曲线上鲍尔点的产生条件,提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品,年生产总值3000万美元,产品价廉物美、选料上乘、质量保证,深受国内外客户的青睐

The eˉtiology of hemospermia is complicate,but almost of hemospermia are benign.

血精的原因很,以良性病变为主。