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In this paper, we mainly study the alternating group A_4 actions on spin 4-manifolds. First we discuss the special action of A_4 on K3 surfaces of Fermat type, we compute the fixed points set of this action and some invariants of the group action, also we get some topological properties. Then we study the A_4 actions on general K3 surfaces and obtain some similar results.

本文主要是以交错群A_4在K3曲面上的作用为研究对象,从Fermat型K3曲面上的特殊的A_4作用出发,得到了Fermat型K3曲面上A_4作用的不动点,利用不动点集计算了群作用的一些不变量并得到了相关的拓扑性质,在此基础上进一步把其中的一些结果推广到一般情形下的同伦K3曲面上。

In the 3rd part of this thesis, two attempts to study the surface enhanced infrared spectroscopy of azobenzene acids monolayer on silver island films are discussed.

成功地在通过真空蒸镀的银岛膜基底上获得了偶氮酸LB膜的表面增强红外光谱,同时对偶氮酸LB膜在不同厚度的银岛膜上的表明增强红外光谱性质进行了详细的研究,进而对银岛膜上的表面增强红外光谱的机理进行了研究。

Secondly,we firstly study the properties of functions with values in a uni-versal Clifford algebra 〓,and we obtain the following very important basictheorems in universal Clifford analysis:Cauchy's integral formula,Cauchy's inte-gral theorem,the mean value theorem,the three versions of the maximum mod-ulus theorem,the Taylor's expansion,the Laurent's expansion and the residuetheorem etc..All of these results generalized the classical results.

第二,本文所讨论的各种函数性质以及所得的结果都在泛Clifford代数〓上所做的工作,它一方面包含了从前在泛Clifford代数〓上所做的工作,所得到的结果更广泛、更漂亮、更自然,另一方面,本文也是迄今为止第一次建立起来了在泛Clifford分析中与经典函数论相对照处基础地位的LR正则函数在特异边界上的Cauchy积分公式、Cauchy积分定理、平均值定理、极大模原理的三种表达形式、Taylor展式、Laurent展式留数定理等深刻的结果。

Properties of efficient portfolios and the efficient frontier to the model are systematically analyzed. Our main results concerning the properties are: every efficient portfolio can be solved by minimizing portfolio risk under a given level of portfolio return or by maximizing portfolio return under a given level of portfolio risk; on the efficient frontier, the risk is a convex and strictly increasing function of the return and the return is a concave and strictly increasing function of the risk; the utility function on the efficient frontier can be expressed as a quasi-concave function of the risk or the return if the investor's utility function is quasi-concave.

从理论上系统地对该模型下的有效投资组合和有效前沿的性质进行了分析,结果表明:每一个有效投资组合可通过在给定期望收益水平的条件下最小化投资组合风险来获得,或者在给定风险水平的条件下最大化期望投资组合收益来获得;在有效前沿上,风险是收益的严格单调递增凸函数,收益是风险的严格单调递增凹函数;当投资者的效用函数是拟凹函数时,则有效前沿上的效用可表达成风险或收益的拟凹函数。

Firstly, this thesis introduces the basic definition and characters of conic curve over finite field Fp and ring Z n.

本文首先分别介绍了基于有限域Fp上的圆锥曲线C p和基于环Z n上的圆锥曲线C n的定义和性质。

In this thesis, we defined duality Fuzzy relation in a pointwise Fuzzy set by a set of duality Fuzzy point. Then we defined Fuzzy congruence and Fuzzy rough set in Fuzzy semigroups.

本文把二维模糊点作成的集合定义为一个点态化模糊集上的模糊二元关系,进一步定义模糊同余关系,并通过它又定义点态化模糊集上模糊粗糙子集,并研究了它们的一些性质。

It carries on the foreshadower to the basic conception relating to this paper, and explains objective necessities and relevant factors of the indirectly holding system.

这些国内法中,对证券受益所有人权利的法律性质上界定的差异,自然会导致在实体法适用上的竞争性。

In the first chapter, we firstly introduce the properties of weighted Herz spaces, then we establish the boundedness of fractional integral operators and maximal fractional operator with rough kernal on the weighted Herz spaces.

在第一章中,我们将先讨论加权Herz空间上的一些性质,再研究其上面的一类带有粗糙核的分数次极大算子和分数次积分算子的有界性。

The dyes were extracted from textiles composed of natural or chemical fibers by methanol under ultrasounication, and then eluted with gradient by acetonitrile and 5 mmol/L ammonium acetate from an RP-C18 column with two segments in effluents. The first effluents accommodated Acid Red 26, Direct Blue 6, Direct Black 38 and Direct Red 28 with negative ionization mode, while the second accommodated Basic Red 9, Basic Violet 14, Disperse Blue 1, Disperse Orange 11 and Disperse Yellow 3 with positive ionization mode. Thus the investigated compounds could be identified simultaneously with single-run analysis no matter which type of the fibre the sample was and no matter which category of the dye the analyte was.

用甲醇超声同时提取天然纤维和化学纤维上的染料,以5 mmol/L乙酸铵和乙腈为流动相在C18柱上于前段洗脱酸性红26、直接蓝6、直接黑38和直接红28(采用电喷雾质谱负离子模式检测),于后段洗脱碱性红9、碱性紫14、分散蓝1、分散橙11和分散黄3(采用电喷雾质谱正离子模式检测),实现了对不同种类纤维织品中分属4类性质不同染料的一次提取和一次分析检测。

Global cataclysms are 18 events that affected all of earth and were Nuclear in nature, with large atomic bombs detonated often causing a nuclear winter of all of Earth.

全球大变动是指影响地球上所有一切并有核事故性质的18件大事,大型原子弹爆炸通常导致地球上的一切都进入核子冬天。

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They go to town. Would you just ask them?

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Ossein pretreated for a2 weeks period exhibited the maximum% yield incase of bone gelatin, while the yield from intact skin was higher than that realized incase of de-scaled skin.

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