关于值分布论中一个著名猜测的推广

运用Nevanlinna的亚纯函数理论方法,研究了超越亚纯函数的值分布理论,获得了如下的结论:设f为超越亚纯函数,c为f的不恒等于0的的小函数,则当n≥3时,fnf′-c有无穷多个零点;若附加条件f只有有限多个级≤2的零点,则对一切正整数n,fnf′-c都有无穷多个零点.因而对Chiang Y M的问题作出了部分回答.     

一类微分多项式的值分布

讨论了微分多项式fnP(f)(n≥2)之导数的Picard例外集问题,在Picard例外集的意义之下推广了Anderson等人的结果。     

关于复合函数连续性的一个注记

<正>关于复合函数的连续性,文[1]有如下定理:若函数f(X)在点x_0连续,函数g(u)在u_0连续,并且u_0=f(x_0),则复合函数g of在点x_0连续.现在我们考虑的问题是:若函数f(x)与g(u)在点X_0不同时连续时,复合函数g of的连续性会怎样?对于这个问题,其结果并不唯一.具体情形如下:     

复变函数中一个重要定理的推广

本文将复变函数中的对数留数定理推广到亚纯函数中去,得到N与P的一般关系,从而为计算提供了一种方法.     

Carlitz 定理的一个注记

置换多项式一直是一个热门的研究课题,事实上,研究有限域上的置换多项式相当于研究有限域上的一一映射.所以它在编码密码、组合设计、代数曲线等许多领域有重要的应用.Carlitz曾经对一些置换多项式有一个刻画,证明了如果f(x)是一个系数在F0的多项式满足f(0)=0,f(1)=l,并且对任意a,b ∈Fq有η(f(a)-f(b))=η(a-b),这里η是Fq的乘法群Fq*的二次特征,则存在某个非负整数j使得对任意χ ∈F0,有f(x)=xpj.本文给出了这个结果的推广.     

一类三次系统的中心—焦点判定

预备知识定义设函数g(x)任C“,张算子29:C-一C‘,定义为 Z。(‘’‘·,一(毙)‘这样,““,(·,一(病(毙{,其余类推。关于张算子有如下三个结论:命题一若f(x)任C一,且f(x)=ah(x)(a为常数),则有Z盆(f)(x)=aZ菩(h)(x)(Vn任N)。命题2设f(x)、g(x)任C一,且f(o)=g(0)~o,f‘(0)=g‘(0)一1,那么,(1)Z‘(f)(o)=一Zf(g)(0);(2)若Z尝(f)(o)~o,1簇k成n一z,则Z盆(f)(o)-一ZP(g)(o)。命题3 Li色nard型方程!爷一y一万(于’几y-一g叹Xj其中;(二)一芡f(?)d?,f(。)一。,g(X)一 h一t,并设v3,vs,一vZn·;表示各阶焦J点量。,;么,(1)v3一z:(,)(。)一}澳{…     

光顺样条函数的再生核表示与计算

光顺样条是散乱数据拟合的理想函数,是噪声数据最优平滑的重要工具。因此,光顺样条的数学表示和计算的研究具有重要的意义。本文在一般的线性微分算子和线性泛函的情况下讨论光顺样条函数的构造和计算,通过构造一个适当的再生核Hilbert空间,使得所讨论的微分算子光顺样条成为该空间中的最小范数问题,再利用投影理论建立了光顺样条函数的再生核表示方法,并得到了插值偏差表达式。作为特例,还给出了奇次多项式光顺样条函数新的简洁的计算方法。     

一类差分方程的三点边值问题的正解

研究了一类离散型三点边值问题:Δ2y(k-1) a(k)f(k,y(k))=0,k∈N={1,2,…,T},Δy(0)=0,y(T 1)=βy(l),式中:f是变号的,l∈N1={2,3,…,T-1},T∈{3,4,…}。应用双锥上的不动点定理,得到了至少存在两个正解的充分条件,并给出了上述边值问题的Green函数。     

氘-金碰撞中J/ψ产生截面随x_F变化的研究

在不同碰撞质心能量下对氘-金(d-Au)碰撞中J/ψ核吸收效应进行了研究,结果表明,在不同碰撞质心能量下J/ψ核吸收截面随动量分数xF变化趋势明显不同。利用以上结论,计算了美国相对论重离子对撞机(RHIC)能量下J/ψ在氘-金(d-Au)碰撞中与质子-质子(p-p)碰撞中的产生截面比,并与实验数据比较发现,理论结果能很好的解释实验现象。最后,为欧洲大强子对撞机(LHC)实验作了理论预言,理论结果将为即将运行的LHC实验所检验。     

凸集支撑函数的性质及其应用

本文讨论一个凸集C 的支撑函数的几个有用性质,并把这些性质应用于对函数次微分的研究,得到有关函数次微分的几个有趣结果。     

Putin – the masked nemesis of the strategy of ambiguity

Recent events demonstrate the complex and adaptive approach employed by Russia to reassert influence in Europe. The changing face of Russia’s strategy commenced in 2007 when it launched a crippling cyber-attack against Estonia. This was followed by a large Russian conventional attack against Georgia in 2008, occupying two large areas of the nation. 2014 witnessed the Russian annexation of Crimea where in just a week, Russia seized control of Crimea “without firing a shot.” The annexation of Crimea was rapidly followed by a Russian inspired and led subversive war in eastern Ukraine. The common thread among these diverse Russian operations is its use of ambiguity to confound and confuse decision makers in the West.     

India's counter-insurgency experience: the ‘trust and nurture’ strategy

The Indian Army, a force trained primarily for conventional warfare, has been engaged in internal counter-insurgency operations since the 1950s. Despite such a long innings on a counter-insurgency mode, little attention has been accorded within military circles to doctrinal innovation for waging sub-conventional warfare in India's democratic political context. At best, the Army continues to view counter-insurgency duty as secondary to its primary duty of defending India from external conventional threats. By conceptualizing a counter-insurgency strategy of ‘trust and nurture’, this article aims to fill this critical doctrinal gap in India's military policy. The author argues that a counter-insurgency strategy of ‘trust and nurture’ based on democratic political culture, measured military methods, special counter-insurgency forces, local social and cultural awareness and an integrative nation-building approach will result in positive handling of India's internal security problems. The author utilizes India's counter-insurgency experiences in Assam, Mizoram, Nagaland, Punjab, and Operation ‘Sadhbhavana’ in Jammu and Kashmir as illustrative empirical indicants in order to validate the ‘trust and nurture’ strategy.     

An Unlikely Alliance: Portuguese and South African Airpower in Angola, 1968–1974

The war that Portugal was obliged to fight in Africa began in 1961 and immediately stretched the resources of its armed forces. Nowhere was this thinness more apparent than in policing the vast territory of Angola. The east and southeast of Angola were particularly vulnerable, as the area was a vast, sparsely populated region characterised by enormous featureless plains or chanas covered in tall grass and broken by an extensive river system and mountainous forests. The only military solution to policing these immense spaces was aviation and specifically the helicopter that could carry troops into battle, protect them with a gunship and bring them home when the operation was concluded. The immediate problem for the Portuguese Air Force (Força Aérea Portuguesa or FAP) in Angola and elsewhere was a scarcity of helicopters. The solution was an alliance with South Africa, which had a strong inventory of Alouette IIIs, to help in policing the east. This move was likewise in the interest of South Africa, as its threat came from Zambia through south-eastern Angola. This article examines the strategic and tactical development of this unusual, cross-cultural alliance and the symbiotic relationship that resulted in destruction of the enemies of both in Angola.     

Helping hands: civil–military cooperation and Italy's military operation abroad

In the Post-Bipolar Era the growing complexity of the military operations requires a new approach for the resolution of international crises. Since the end of the Cold War, peace support operations (PSO) have become the mainstay and principal occupation of most Western armies. At the same time, Italy has been one of the most important actors in such an area. The article focuses on the cooperation between military and civil components (a process called CIMIC) as a key variable in the Italian PSOs. We will analyse in detail the main lessons learned from past military interventions as well as the general context in which new tendencies are taking place. The maintaining of a minimum security frame becomes essential to fulfil activities ‘collateral’ to the mission: reconstructing services and infrastructure, food distribution, water and medication, law and order, de-mining, training of local forces, and supporting local institutions. These are the main tasks to obtain thrust and support from the population.     

Terrorism,insurgency, kidnapping,and security in Africa's energy sector

Energy continues to serve as the bedrock of modern economies and the main driver of modern society. For Africa, the production and supply of energy resources such as crude oil, natural gas, uranium, coal, biomass, biofuels and other renewables are an important source of employment, rents, taxes, royalties and profits. This sector brings in several tens of billions of dollars of revenue annually. The production and delivery of such resources, however, depend on critical infrastructures such as pipelines, refineries, processing plants, terminals, rigs, electrical energy pylons, substations, pump stations, vessels, and tankers. These infrastructures have been attacked by terrorists, insurgents, vandals and saboteurs, all of whom see them as targets against which to register their grievances and extract concessions from the state. This paper is a chronological account of some of the documented incidents of terrorism, insurgency, kidnapping, destruction, sabotage, and human casualties suffered in the oil and gas sectors in Africa between 1999 and 2012. It is based on data extracted from the databases of the RAND Database of World Terrorism Incidents and the University of Maryland's Global Terrorism Database (GTD).     

国内外结构钢焊条研究的现状与发展

本文主要介绍了国外焊条的现状和发展趋势,包括焊条的高韧性、高效率、低尘低毒和耐吸潮性能,为国内的焊条研究提供了参考依据。     

A Sign of Victory?: ‘Scottish Swords’ and Other Weapons in the Possession of the ‘Auld Innemie’

Many late medieval documents, notably inventories of arms and armour, of Englishmen contain references to ‘Scottish swords’ and other weapons. What did the compilers of these documents mean when they described a weapon as ‘Scottish’? How did such weapons come to be in the possession of these men? This article will attempt to explain this phenomenon drawing on primary documentary sources and surviving material culture from Glasgow Museums’ collections and others, as well as artworks from the period.     

Tacit support for terrorism: The rapprochement between the USSR and Palestinian guerrilla organizations following the 1967 war

This article demonstrates the inconsistent and wavering Soviet attitude towards national liberation movements in general and the Palestinian organizations in particular. Until the late 1960s, the Soviets viewed these organizations with suspicion, hesitating to engage in political dialogue with them. However, in the 1970s, political and military events in the region, as well as modifications in the Kremlin's Cold War strategies, led to a general shift towards the Middle East in Soviet foreign policy. Soviet leaders showed increased willingness to provide certain Palestinian organizations with arms with which to conduct terrorist activities against Israeli, pro-Israeli, Jewish and Western targets. The article explores the complex relations between Palestinian organizations and the USSR in the field of international terror. The study also exposes and analyzes the nature and content of Soviet–Palestinian arms dialogues and transactions. It provides clear evidence that Soviet policymakers and other luminaries were fully informed of, and sometimes directly involved in, these transactions and dialogues at the highest levels.     

A1 Qaeda and the radical Islamic challenge to western strategy

The September 11 global crisis prompted by the attacks on the World Trade Center and the Pentagon raises major questions concerning the nature and trajectory of terrorism in the post-Cold War global order. Hitherto, terrorism has been largely debated by analysts at the level of nation states. Terrorist and insurgent movements have also been largely anchored in nationalist and ethnic power bases even when they have sought to mobilise a transnational ideological appeal on religious or class grounds. There have been a few exceptions to this pattern such as the alliance between the German Baader-Meinhof group and the Japanese Red Army Faction, but even such international alliances as this did not, until at least the 1980s, presage anything like a global terrorist network necessitating a global strategic response. This study examines terrorism and global strategic responses.