Optimal dividend strategies in a double compound poisson risk process

In this paper, we consider a double compound Poisson risk model involving two independent classes ofinsurance risks with a threshold dividend strategy. We derived the integro-differential equations (IDE) with certain boundary conditions for the present value of dividends until ruin. When the claims from both classes are exponentially distributed, we show that the threshold dividend strategy is an optimal dividend strategy.     

马岛:从未结束的战争

正军政府与老牌殖民国的战斗阿根廷本来希望借马岛战争转移国内矛盾,结果却让英国重建了自信。4月2日是英国和阿根廷马岛(英称福克兰群岛)战争爆发30周年纪念日,两国各自举行纪念活动悼念阵亡士兵。在阿根廷南部城市乌斯怀亚,总统克里斯蒂娜·费尔南德     

Theoretical analysis of reactive solid-liquid interfacial energies

The characterization of reactive solid-liquid interfacial energies and solid surface energies is a pressing problem in materials science and surface science. Based on the concept that unbalanced forces doing work, a mathematical formulation between surface energies and interfacial energies for reactive wetting is presented. The resulting formalism has significant generality in which the equilibrium Young’s equation for solid-liquid interfacial energies is just a special case. It is shown that a solid-liquid interfacial energy at non-equilibrium is always higher than that at equilibrium, and that the transformation of reactive interfaces to equilib-rium interfaces is an inevitable, spontaneous process. The numerical range of solid-liquid interfacial energies γsl for a limited, solid-liquid interfacial wetting system was calculated to be 0 ≤γsl ≤γsg. The calculation methods for reactive solid-liquid interfacial energies and solid surface energies are presented. They are significant for composite materials and weld, powder sinter, package of electronic devices, and other surface and interfacial issues in metallurgy.     

非线性耦合Schrdinger-KdV方程的新精确解

在文献(Phys.Lett.,2008,A372(4):417-423.)的基础上,通过改变辅助微分方程,提出了一种广义的(G’/G)-展开法,并利用该方法求解了耦合Schrdinger-KdV方程,得到耦合Schrdinger-KdV方程的诸多用Jacobi椭圆函数表示的新解,当Jacobi椭圆函数的模m→1或0时,便得到耦合Schrdinger-KdV方程用双曲函数或三角函数表示的精确解.     

国外科技期刊亮点

痘病毒与先天性免疫系统间的角力;新型“隐形衣”研制成功;保持心态平和可预防老年痴呆;大脑低血糖可能诱发早老性痴呆;找到瘦素蛋白减重原理     

Receding horizon H∞ control for discrete-time Markovian jump linear systems

Receding horizon H∞ control scheme which can deal with both the H∞ disturbance attenuation and mean square stability is proposed for a class of discrete-time Markovian jump linear systems when minimizing a given quadratic performance criteria. First, a control law is established for jump systems based on pontryagin’s minimum principle and it can be constructed through numerical solution of iterative equations. The aim of this control strategy is to obtain an optimal control which can minimize the cost function under the worst disturbance at every sampling time. Due to the difficulty of the assurance of stability, then the above mentioned approach is improved by determining terminal weighting matrix which satisfies cost monotonicity condition. The control move which is calculated by using this type of terminal weighting matrix as boundary condition naturally guarantees the mean square stability of the closed-loop system. A sufficient condition for the existence of the terminal weighting matrix is presented in linear matrix inequality (LMI) form which can be solved efficiently by available software toolbox. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.     

安徽中南部下二叠统栖霞组和孤峰组沉积环境及成岩历史

皖中南地区下二叠统发育8种不同的沉积相带。栖霞组下部主要发育滨岸细碎屑岩相带和半局限海台地相带,中上部发育开阔海台地相带、较深水台凹相带和台棚内带;早中孤峰期发育台棚外带、台棚内带和台地边缘缓坡相带,晚孤峰期在宿松地区发育了台地边缘生物滩相带。研究区下二叠统成岩环境划为海底-浅埋藏、中埋藏、深埋藏和表生成岩环境。并阐述了这4种成岩环境内的成岩作用类型组合标志。     

2’,3’-双脱氧-3’-叠氮-5-甲基-2-N-烷基异胞苷的合成及抗HIV-1活性

自2′,3′-双脱氧-3′-叠氮胸苷(简称AZT(1))作为艾滋病的第一个治疗剂在80年代初在美国面世以来,为了提高它的疗效,改善它的毒副作用,各国化学家和药学家合成并评价了它的许多衍生物和类似物.我们从1989年开始,以AZT.为原料,制备了一系列2′,3′-双脱氧-3′-叠氮-5-甲基-2-N-烷基异胞苷(4a—f),并以AZT为对照化合物,在HIV-1感染的MT4细胞株上观察了它们的抗HIV-1活性.本文报道我们的研究结果.     

栽培稻早粗线期铺展联会复合体的电镜观察

植物的联会复合体(Synaptonemal complex,简称SC)铺展技术,是近年来发展起来的技术,由于具有光镜检查快和电镜高分辨率的双重优点,又能观察偶线期核的染色体配对状态,不仅在交换的机理研究中得到大量应用,同时成为染色体结构变异研究中的强有力的手段.目前主要的作物如玉米、小麦、大麦等有关的研究均已有报道,但是在水稻细胞遗传学研究中,至今未见有关铺展SC的研究.我们在水稻的花粉母细胞中,应用铺展技术观察晚偶线期一早粗线期的联会复合体.     

钯（Ⅱ）—核苷酸—芳环配体三元混配合物的稳定性研究

用ｐＨ电位滴定法测定了钯（Ⅱ）的二元配合物ｐｄ（ＵＴＰ）（２－）、ｐｄ（Ｔｒｐ）＋和三元混配合物ｐｄ（Ａ）（ＵＴＰ）（ｎ－）（Ａ＝Ｐｈｅｎ，Ｂｐｙ和Ｔｒｐ；ｎ＝２或３）在４０％（Ｖ／Ｖ）二烷—水介质中（Ｉ＝０．１，ＫＮＯ３；２５℃）的稳定常数。用△ｌｇＫ（ｐｄ）比较了二元和三元混配合物的稳定性差异，认为三元混配合物稳定性的增加可归因子π—酸—π—碱之间的合作效应和分子内芳环配体的堆积作用。后者和参与堆积的芳环大小一致，即稳定性ｐｄ（ｐｈｅｎ）（ＵＴＰ）（２－）＞ｐｄ（Ｂｐｙ）（ＵＴＰ）（２－）＞ｐｄ（Ｔｒｐ）（ＵＴＰ）（３－）。