Minimal Martingale Measures for Discrete-time Incomplete Financial Markets

Abstract In this note, we give a characterization of the minimal martingale measure for a general discrete-time incomplete financial market.Then we concretely work out the minimal martingale messure for a specificdiscrete-time market model in which the assets'returns in different times are independent.     

A novel binucleating macrocyclic ligand with two alcohol pendants

A novel binucleating 24‐membered macrocyclic ligand, 6,20‐bis(2‐hydroxy­ethyl)‐3,6,9,17,20,23‐hex­aza­tri­cyclo­[23.3.1.1^11,15]triaconta‐1(29),11(30),12,14,25,27‐hexaene (L), was synthesized and crystallized as the tetra­hydro­bromide salt, i.e. 6,20‐bis(2‐hydroxy­ethyl)‐6,20‐di­aza‐3,9,17,23‐hexa­azoniatri­cyclo­[23.3.1.1^11,15]­triaconta‐1(29),11(30),­12,14,25,27‐hexaene tetrabromide tetrahydrate, C₂₈H₅₀N₆O₂⁴⁺·­4Br^?·4H₂O. A crystallographic inversion center is located in the macrocyclic cavity and the two hydroxy­ethyl pendants are on opposite sides of the macrocyclic plane. The benzene rings of the macrocycle are parallel to each other and a π–π‐stacking interaction exists between the benzene rings of adjacent macrocycles, which are separated by 3.791 (9) Å. An infinite intermolecular hydrogen‐bond network stabilizes the crystal.     

PERSISTENCE AND STABILITY OF A DISCRETE PERIODIC PREDATOR-PREY MODEL

In this paper,we investigate the persistence and global asymptotic stability of a discrete predator-prey system.Based on Lyapunov functions,several crite- ria are established concerning the persistence and globally asymptotic stability of difference systems.     

A New Method for Real Root Isolation of Univariate Polynomials

A new algorithm for real root isolation of univariate polynomials is proposed, which is mainly based on exact interval arithmetic and bisection method. Although exact interval arithmetic is usually supposed to be inefficient, our algorithm is surprisingly fast because the termination condition of our algorithm is different from those of existing algorithms which are mostly based on Descartes’ rule of signs or Vincent’s theorem and we decrease the times of Taylor shifts in some cases. We test our algorithm on a large number of examples from the literature and report the performance.      

光子扫描隧道显微镜的光电成像系统研究

本文论述了光子扫描隧道显微镜（ＰＳＴＭ）的显微成像机理、成像规律，针对具体的物理模型进行数值模拟计算，并得到了与实际探测相一致的场分布规律。采用自行研制的光子扫描隧道显微镜（ＰＳＴＭ）的显微实验系统对多种样品进行了表面显微成像研究，获得了关于样品表面三维立体图像信息，通过多种图像处理手段对原始图像进行后期处理，得到了更具视觉效果、更为逼真的样品表面图像。     

催化电聚吡咯对苯二酚及邻苯二酚电催化反应的研究

本文通过循环伏安法研究了催化电聚吡咯膜（ＰＰＹＥ）对对苯二酚及邻苯二酚的电催化反应。讨论了酸度，膜厚度，扫速及浓度等条件对催化过程的影响，同时对二者的电催化反应过程进行了分析和比较。     

运动对小白鼠乳酸脱氢酶(LDH)同工酶的影响初探

经总酶活性测定和凝胶电泳图谱分析发现:剧烈运动后,小白鼠六种组织LDH总酶活性,骨骼肌有显著升高,(p<0.05),其余五种组织均变化不显著;心肌、骨骼肌、肾脏的M型LDH相对活性显著升高(P<0.05),而H型LDH相对活性显著下降(p<0.05);相应地,A亚基比例显著升高,B亚基比例显著下降,这种变化似能反应剧烈运动对小白鼠厌氧代谢的明显影响.     

乙苯氧化脱氢钨硅酸催化剂的研究

考察了钨硅酸及其盐对乙苯氧化脱氢制苯乙烯的催化行为。认为表面积碳物是活性中心,苯乙烯的收率随积碳物C/H增大而增加;载体的比表面积对活性有明显影响。还发现有苯甲酸生成,CO_2主要来自表面积碳物的氧化。     

The role of pyrrhotite (Fe7S8) and the sample texture in the hydrothermal transformation of pentlandite ((Fe,Ni)9S8) to violarite ((Ni,Fe)3S4)

The catalytic role of pyrrhotite (Fe₇S₈) in the reaction kinetics of the hydrothermal transformation of pentlandite ((Fe,Ni)₉S₈) to violarite ((FeNi₂S₄) was found to depend on the physical form of pyrrhotite. Pyrrhotite in fine scale intergrown with pentlandite boosts the reaction, whereas in a mechanical mixture of pyrrhotite and pentlandite, it plays the opposite role. This phenomenon was interpreted as result of dissolution of pyrrhotite under reaction conditions.     

Photonic band structures of two-dimensional photonic crystals with deformed lattices

Using the plane-wave expansion method, we have calculated and analysed the changes of photonic band structures arising from two kinds of deformed lattices, including the stretching and shrinking of lattices. The square lattice with square air holes and the triangular lattice with circular air holes are both studied. Calculated results show that the change of lattice size in some special ranges can enlarge the band gap, which depends strongly on the filling factor of air holes in photonic crystals; and besides, the asymmetric band edges will appear with the broken symmetry of lattices.