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In the second part, we use theory of nonstandard analysis theory discuss the notion, nonstandard compactifications and ...

本文的研究,一方面,能够使得理论和实践能够更完美地结合,提高我们对标准分析这一门新兴学科更加广泛的认识;另一方面,使得标准分析理论更加丰富,有助于标准分析理论在其它领域的发展和应用。

Through the research of this paper, on the one hand, it makes the theory and the practice a more perfect union, and enhances us to get more widespread understanding to the subject about nonstandard analysis.

通过本文的研究,一方面,能够使得理论和实践能够更完美的结合,以提高我们对标准分析这一门新兴学科更加广泛的认识;另一方面,使得标准分析理论更加丰富,有助于标准分析理论在其它别的应用领域的发展。

Since the solutions of this problem are the critical points of the associated energy function. One generally needs some compactness such as PScondition or C-condition to prove the existence of critical points of the energy func-tion, but when we study the elliptic equation in R~N, the compactness condition does not always hold since the imbedding of the Sobolev space H_0~(1,2)into L~(2*) is not compact. In this chapter, based on the nonsmooth critical point theory, and by using the approximation technique with periodic function, the existence of nontrivial solution is obtained.

由于该方程的解就是其所对应的能量泛函的临界点,通常都要在一些紧型条件的基础上来证明其所对应的能量泛函临界点的存在性,但当我们在无界域上考虑该椭圆方程解的存在性时,Sobolev空间H_0~(1,2)到L~(2*)的嵌入紧,从而导致所对应的能量泛函失去紧性,本章在光滑临界点理论的基础上,应用周期逼近的方法证明该问题平凡解的存在性。

According to the principles of total economic value, the first step of the evaluation of assets value of wetland is to classify the assets value into two categories: use value and nonuse value , the former include direct use value and indirect use values , and the later includes existence value and Bequest value , the option value belongs to non-use value because its use value can not be realized.

对湿地资源资产价值的核算,应根据总经济价值的原理,首先将其资产价值分为使用价值和使用价值两大类;使用价值又进一步分为直接使用价值和间接使用价值;使用价值则包括存在价值和遗产价值;选择价值由于目前无法实现其使用价值,因此属于使用价值的范畴。

Based on the traits of dyadic wavelet decomposition of signal and that of the distribution of wavelet image coefficients, PLVQ and ZR are conjoined by making use of D\-4 lattice. Firstly, Pyramidal lattice vector quantization is adopted to quantize wavelet image coefficients. Nonzero lattice vectors and zero lattice vectors are formed. Secondly, nonzero lattice vectors are dealt with by adopting complex entropy coding. Finally, in order to fix on the position of nonzero lattice vector effectively, that is, to deal with zero lattice vectors effectively, the concept of significant map is introduced into. The significant map is scanned two times from down to up and from up to down.

根据信号的二进小波分解特点和小波图象系数的分布特点,利用D\-4格将PLVQ和零树结合起来,提出了一种基于零树和金字塔格型矢量量化的小波图象编码方法,该方法首先采用金字塔格型矢量方法来量化小波图象系数,以得到零格点和零格点;然后采用复合熵编码来处理零格点;最后为了有效确定零格点的位置,也就是为了有效地处理零格点,又引进了重要图的概念。

By introducing the general notion of nonwandering operator semigroup T and utilizing a basic result in normed linear space,the nonwandering property of T=e~ is investigated with the constructive method.

通过给出一般算子半群T的游荡性概念,利用赋范空间的一个基本结果和直接的构造法证明了具有变系数的线性发展方程的强连续解半群T=etA在适当的条件下是游荡的;另外,通过对C-半群T概念的引进,定义了一个无界算子半群etA,进一步证明了这二者关于游荡性的联系;最后给出了一个无界算子半群etP关于游荡性理论的刻画,其中P是微分多项式。

For having a comprehensive acquaintance to this concept, we firstly make a detailed statement for the progress and condition at present of kinds of nonsquareness and nonsquare constant in the sense of James and schaffer in normed space, especially in Orlicz space, and show the background and significance of the content of each part in this paper.

为了对点态方常数有全面、综合的认识,本文首先,对各种方性,以及在James意义下和Schaffer意义下方常数在赋范空间,特别是在Orlicz空间的发展进程及现状做了详细叙述,并给出了本文各部分所讨论的内容、背景和意义。

According to capital s exchanging-value metaphysics, being or not-being, object or not-object, person or non- person, truth or error, being or nihility, living or dead, all these are decided by the exchanging-value.

根据资本的交换价值形而上学,存在与存在、对象与对象、人与人、是与、有与无、生与死,都完全取决于交换价值大小。

A detailed investigation was conducted in this paper on the flow asymmetry and its influencing factors over an ogive slender body model, incorporated with surface pressure measurement, skin oil flow pattern visualization, hot wire dynamic signal acquasition and other relevant approaches, in a low turbulence wind tunnel.The obtained test results demonstrate good accordance with those published abroad in the behavior, tendency of the flow asymmetry and the effects due to Reynolds number, incoming turbulence and model geometry etc.

本文通过模型表面压力分布测量、表面油流图谱显示和流场热线信号采集分析等手段,在低湍流度风洞中对细长拱柱体模型的大攻角流动对称性及其影响因素进行了较为深入的研究,试验获得的细长体大攻角流动对称性的特征、趋势以及Re数、湍流度和模型构型等因素对大攻角流动对称性的影响规律,与国外资料上发表的结果是一致的。

First, when there is no-risky security but no consideration on transaction costs, based on the concept of asymptotic returns rate, we present the concept of asymptotic efficient frontier of portfolio and its determining method.

当有交易成本存在时,我们说明:若标的股票的投资比例在交易区域时,投资者不需要进行交易;而当股票投资比例超出交易区域时,投资者需要进行交易使标的股票的投资比例回到交易区域内。

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The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

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