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In Brunn-Minkowski-Firey theory, we establish two extremum properties of the new ellipsoid; Then we generalize Petty\'s affine projection inequality and monotonicity results related to affine surface area to L_p—affine surface area; We establish the Brunn-Minkowski type inequalities for the volume of the L_p centroid body and its polar body with respect to the normalized L_p radial addition. At last, we introduce the minimal L_p—mean width of a convex body and generalize the minimal mean width to the Brunn-Minkowski-Firey theory.

在L_p-Brunn-Minkowski理论中,我们首先给出了两个关于新椭球的极值性质;然后研究了L_p仿射表面积,将Petty仿射投影不等式和Winterniz单调性问题推广到L_p仿射表面积;建立了L_p质心体和其极体的Brunn-Minkowski型不等式;研究了凸体的最小L_p平均宽度,给(来源:3bABbeC论文网www.abclunwen.com)出凸体K具有最小L_p平均宽度的充分必要条件,最后给出了凸体L_p平均宽度位置的稳定性。

At the same time, the conditions of affine transform approximation are given in this chapter.

第三章在仿射模型的基础上,首先从函数空间的角度建立起不变特征提取的模型,将不变特征提取归结为寻找具有特殊性质的核函数。

This description then tells us which properties are ' affine '.

这个表述告诉我们什么性质是'仿射的'。

It consists of the next three aspects: firstly, we study Murthys' open problem whether the augmented matrix is a Q0-matrix for an arbitary square matrix A , provide an affirmable answer to this problem , obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the Graves algorithm can be used to solve linear complementarity problem with bisymmetry Po-matrices; Secondly, we study Murthys' conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study Pang's conjecture , obtain two conditions when R0-matrices and Q-matrices are equivelent and some properties about E0 ∩ Q-matrices; Lastly, we give a counterexample to prove Danao's conjecture that if A is a Po-matrix, A ∈ E' A ∈ P1* is false, point out some mistakes of Murthys in [20] , obtain when n = 2 or 3, A ∈ E' A ∈ P1*, i.e.

本文分为三个部分,主要研究了线性互补问题的几个相关的公开问题以及猜想:(1)研究了Murthy等在[2]中提出的公开问题,即对任意的矩阵A,其扩充矩阵是否为Q_0-矩阵,给出了肯定的回答,得到充分矩阵的扩充矩阵是充分矩阵,并讨论了Graves算法,证明了若A是双对称的P_0-矩阵时,LCP可由Graves算法给出;(2)研究了Murthy等在[6]中提出关于半正定矩阵的猜想,给出了半正定矩阵的一些充分条件,并研究了Pang~-猜想,得到了只R_0-矩阵与Q-矩阵的二个等价条件,以及E_0∩Q-矩阵的一些性质;(3)研究了Danao在[25]中提出的Danao猜想,即,若A为P_0-矩阵,则,我们给出了反例证明了此猜想当n≥4时不成立,指出了Murthy等在[20]中的一些错误,得到n=2,3时,即[25]中定理3.2中A∈P_0的条件可以去掉。

We carry on a processing to the oil extraction waste water, instead in return to affusion, then not only will they satisfy the affusion of water which increase increasingly in the process of the extraction of the oil-field, but also can save the water resources and reduce pollution of the environment, bring an economic performance for the oil-field, its advantageous to the oil-field can keep on a development.

试验后水质明显改善,符合辛一站的水质标准。本论文的实验研究工作在胜利油田辛一站进行,首先分析了辛一站的采油废水的性质,用悬浮污泥过滤法简称SSF和超滤膜过滤法2种方法,分别进行了辛一站采油废水处理试验。

We may ask outside the law ,' Did he kill those men intentionally?' Inside the law the cognate question is ' Did he kill them with such malice aforethought as is required to constitute murder?

而在法律范围内,同一性质的问题则是"他是基宇[MS19] 法律规定为构成谋杀所必需的恶意预谋而杀死他们的吗"?

In theory American air quality permit is regarded as an aforetime full-out permit. In practice this system emphasizes the obligation of the enterprises and renewal of the technology. Emissions trading system has been developed on the basis of air quality system and ...

美国的空气质量许可证制度有周密细致的法律法规和先进成熟的科学技术作为支持,在理论上其性质定位为一种事先的全面的许可,在实践上许可证的执行强调企业的责任和技术的更新,并引入排污削减指标的交易政策把环保事业推向市场,这些都是我国的排污许可证制度所值得研究和学习的。

If you live according to what nature requires, you mill never be poor; if according to the notions of men, you will never be rich. This is especially detrimental to us, that we live, not according to the light of reason, but after the fashion set by others.

" "如果你住是根据什么性质的需要,你磨永远贫穷,如果按照概念的男人,你将永远不会被丰富的,这是特别不利于我们,我们生活,而不是根据轻理性,但经过时装一套由他人。

Both character and length of the aftertaste are part of the total evaluation.

两者的性质和长度的余味部分的总评价。

Work with their nature, not against it.

与他们的工作性质,而不是反对。

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For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降,而后引起了信用卡大规模的亏损。

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弗四23 而在你们心思的灵里得以更新

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