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Chapter one has introduced the background and classification of minimax theorems; Chapter two summarizes several proof method of minimax theorems, which are illustrated with examples; Chapter three has explained the development general situation of minimax theorems for a function and for two functions with chapter four respectively, and according to the classification of the theorem, has illustrated some important conclusionses in quantitative minimax theorems, topological minimax theorems and quantitative-topological minimax theorems separately.

第一章介绍了极大极小定理的背景及其分类;第二章总结了极大极小定理的几种证明方法,并举出例子进行说明;第三章和第四章分别阐述了单函数的极大极小定理和两个函数的极大极小定理的发展概况,在第三章中,按照极大极小定理的分类,分别对数量极大极小定理,拓扑极大极小定理和数量拓扑极大极小定理的一些重要结论作了介绍。

A positive correlation was found between the solar activity and NO3- concentration in recent 1500 years. A long-standing issue of the nature of the solar activity during the Maunder Minimum was solved. An about 36a cycle was found in the solar activity. Low solar activity and weak geomagnetic field were responsible for the 36Cl peak at about 37ka BP. Climate change recorded in this ice core lagged insolation about 4ka during the last glacial maximum, about 1ka during the last deglaciation, and nearly 0ka during the Holocene.δ18O record also suggests that the variation in temperature on the Tibetan Plateau had some similar features to that in both Northern and Southern Hemispheres during the last deglaciation to some extent, which indicate that the tropics maybe play an important role on global climate change.

揭示出近1500a来古里雅冰芯中NO3-浓度变化可以反映太阳活动的强弱变化;回答了长期争议的并直接关系到太阳发电机理论是否正确的Maunder极小期太阳活动特征问题;发现太阳活动可能存在36a左右的周期;证实了37kaBP左右古里雅冰芯记录中宇宙成因同位素36Cl含量峰值的存在,指出这一时期的宇宙成因同位素峰值事件具有全球性,弱的太阳活动和弱的地磁场是这一事件发生的原因所在;揭示出古里雅冰芯记录到的"8.2ka BP事件",认为这一全球性事件发生的主要原因与弱的热盐环流和弱的太阳活动有关;发现古里雅冰芯记录的末次冰盛期和末次冰消期气候变化均在一定程度上滞后于太阳辐射变化,而全新世气候变化大致与太阳辐射变化同步;发现末次冰消期高原地区气候变化不仅具有北半球气候变化的某些特征,同时还具有南半球气候变化的某些特征,这说明热带地区可能对全球气候存在重要的影响。

In this paper, row distance and minimum row distance of matrix on F2 are presented, and some properties about row distance are given. Two important theorems are proved.

陈勤引进了F2上矩阵的行间距和极小行间距概念,给出了极小行间距的一些基本性质,证明了极小行间距的两个重要定理。

A new type of polar decomposition—weighted polar decomposition of matrices is presented and defined. Aim at this new matrix decomposition, we prove its uniqueness theorem and obtain its uniqueness conditions, and also investigate the best approximation property of weighted unitary polar factor.

矩阵的极分解和广义极分解一直是矩阵分析研究的重要内容,本文中我们对其进行了横向扩展,提出并定义了一种新的极分解形式—矩阵的加权极分解。

Root-derived organic carbon is composed of three compartments: root detritus, root eaudates and root symbionts, which represents a large important and potential C sink in forest ecosystems, The known responses of root derived organic carbon and heterotrophic microbes to elevated CO2 were reviewed. Overall, increases in root biomass, productivity, and exudation indicate an augmentation of C inputs into the soil via roots, although changes in root lifespan are still unclear and may modify this flux positively or negatively, Altogether, changes in root chemistry and morphology that may augment soil C storage under elevated CO2 include decreased N concentration and wider root diameter, Alternately, a shift in rooting depth upwards in the soil profile may increase average turnover rates of root detritus. Effects of CO2 concentration on C qualities of root exudates and root symbionts are the least understood components discussed here, Changes of soil heterotropic microbial activity and community under elevated CO2 still remained large uncertainties.

林木根源有机C包括根东通过根枯落物、根系分泌物和根共生菌周转3条途径向土壤输入的有机C,它是森林生态系统中一个重要的、潜在的C汇,综述了根源有机C与其微生物对CO2浓度升高的响应,虽然对根系寿命的变化尚不清楚,但CO2浓度升高将导致根系生物量、生产量、死亡量和分泌物的增加;同时,CO2升高亦促使根共生菌生物量的增加而增加了共生菌的C归还潜力,表明CO2升高使根源有机C的输入增加了,CO2农度升高情况下,根系化学性质和形态特征的这些变化均有利于增加土壤C的吸存;而根分布深度的降低则对土壤C吸存不利;CO2浓度升高对根分泌物和根共生菌质量的影响研究则极少,CO2浓度升高下土壤微生物活性和群落组成的变化存在较大的不确定性,目前CO2浓度升高下林木根源有机C对森林长期C吸存的贡献仍很不清楚。

Therefore, we as value investors choice company, not only depend its book value, the much more important is penetrating such companies which will play main mission in the development of human civilization in the coming time, although such companies are minority. However, value investors should realize that just the minority play major roles in the progress of history.

所以,我们作为价值投资者,在选择公司的时候,不能仅仅把握公司的账面价值,更重要的是要洞察到那些在人类文明的未来发展中扮演着重要角色的公司,这样的公司虽然是极少数,但是,他们的发展极大地推动着人类文明的进步。

This thesis consists of three chapters .In chapter one , the distributions of the last exit time and the corresponding results of Brownian motion in Markov process are introduced ,and previous remarkable achievements on the excursion of Brownian motion are numerated too ,also ,we introduce the main results and the history of elliptic diffusion process; In chapter two ,we summarily describe the excursion in Markov process and the result of the first hitting time of the elliptic diffusion process ; In last chapter ,we study estimates for the distributions of above three maximum excursions and minimum excursion in the elliptic diffusion process on R (d≥3), which leads the excursion of Brownian motion on ball on R (d≥3) to become a particular case .

全文共分三章,第一章介绍对称Markov过程中布朗运动的未离时分布及相关研究结果,列举了前人对布朗运动的游程问题的研究成果,并用较多篇幅介绍了一类特殊且非常重要的扩散过程——一致椭圆扩散过程的研究历史和本文的主要研究结果;第二章介绍Markov过程有关停时及游程的概念,叙述了一致椭圆扩散过程的定义,并给出了一致椭圆扩散过程有关首中时的结果;第三章是本文的核心部分,详细讨论了暂留一致椭圆扩散过程关于R~d(d≥3)上球的三类极大游程和极小游程的分布估计,使得布朗运动关于球的游程问题成为特例。

SUPER COMMANDER was the top selling boar at the 1984 Southeast Duroc Congress; but more important has been the outstanding siring ability of this truly superior proven sire. He sired the $12,500 1985 Hog College Boar and current SGI sire, Reform, as well as the $9300 1986 Hog College Boar. His offspring have consistently performed well in the test station as noted by the average on his 23 sons listed below. They excel in growth rate, yet are long bodied, extra lean, muscular, heavy boned, super sound and aggressive.

超级司令」是1984年美国东南地区杜洛克大会中拍卖的最高价公猪,但是更重要的是因为其非常突出的公畜能力,已被证明为一头极优秀的种公猪,它的后裔「改革」在1985年大学杯种公猪比赛中以12,500美元售出,现在是SGI的种公猪之一(译按:这篇文章何时写的啊,这头公猪到现在还活著采精的话,那是老妖精啊),其后裔非常稳定地在各检定站性能检定中表现良好,下面列出其23头后裔的平均表现,它们在生长速度上相当优异,具有较长的体长、非常高的瘦肉率、粗壮的骨架、脚强健度优秀、秋度高。

More importantly, women born after 80 Namedianer a little selfish, they will not to the beloved men, spend an afternoon time to burn what nutrition Liang Tang, not to the beloved men, sitting The warm afternoon sunshine, a caring hand-knit sweater, this thing, in their view it is a very boring, they think it is time for the murder, because in the store to buy sweaters and hand-knit sweaters Is the same, the final purpose is the same, or even buy the store, hand-knit than some of the more attractive, so they will not blindly basic waste of time.

更重要的,是80后出生的女子有那么点儿小小的自私,她们不会为了心爱的男人,花上一个下午的时间去煲什么营养靓汤,更不会为了心爱的男人,坐在午后暖暖的阳光里,手工编织一件爱心毛衣,这样的事儿,在她们看来那是无聊之极,她们认为那是在谋杀时间,因为在商店里买到的毛衣和手工编织的毛衣是一样的,最后的用途都是相等的,甚至商店里买到的,会比手工编织的更精美一些,所以她们基本不会盲目地浪费时间。

After explaining correlation theory and its important features, the rescaled range analysis、modified rescaled range analysis and detrended fluctuation analysis are analysed. As for the drawbacks produced by the rescaled range analysis when faced with short term correlation, a modified rescaled range analysis based on short term correlation model is applied to Shanghai stock market and Shenzhen stock market. The result is explained and compared.

在阐述了分形时间序列的相关理论和重要特征后,对经典重标极差分析法、修正重标极差分析法和趋势消解波动分析法等一维分形分析方法进行了系统分析,针对重标极差分析法对短期相关会产生有偏结果的缺点,给出了一种基于短期相关的改进的重标极差分析法,把各种一维分形分析方法应用于上证综合指数和深圳成分指数序列进行实证分析,并对结果进行了比较和解释。

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We are in a real jam.

我们的麻烦大了。

Hey, it's Ahmet from India, that foreign exchange guy.

看,那是印度的阿曼特,国际交换生

Because you can make victims of a hypothetical, what is there for not matter.

因为你能对一个灾民作假设,还有什么作不出的事。