鞅方法在一类破产问题中的应用

本文从鞅条件出发 ,推导出了总理赔过程分别为复合 Poisson过程与复合二项过程 ,利率强度波动为带跳的 Poisson过程情形下的调节方程 ,并由此得到了一些有趣的结果。     

Autocorrelation Function of Hydrogen Atoms in Magnetic Fields

The autocorrelation function is an important quantity that can reflect the dynamical properties of the Rydberg wave packet and can be measured in experiments. Applying time-dependent perturbation theory and rotating wave approximation, we derive the autocorrelation function of the double-pulse laser describing the evolution of a Rydberg wave packet of hydrogen atoms in magnetic fields. The resulting expression is written as a sum of the modified Caussian terms. Each Caussian term comes from a parent semiclassical closed orbit. It provides a direct explanation and experimentally controllable measurement scheme, which allows us therefore to recognize the closed orbit and to determine its returning time in high precision.     

重金属Pb2+对玉米苗生长的影响

以水栽培的玉米幼苗为材料，用不同浓度的醋酸铅溶液处理后，分别在第10天、第20天、第30天对玉米苗的根、茎、叶分别进行Pb^2＋含量测定。分析结果：Pb^2＋在玉米体内的分布表现为根〉叶〉茎；玉米中的叶绿素含量均降低；随着Pb^2＋浓度的增大，玉米细胞的膜透性表现根〉叶〉茎依次升高；Pb^2＋对玉米的伤害率的大小表现为根〉叶〉茎。该实验为进一步研究农作物对重金属Pb^2＋的耐性和重金属Pb^2＋在农作物体内的分布提供了可参考的数据。     

偶氮氯膦mk催化动力学光度法测定痕量铱(Ⅳ)

实验发现,在硫酸介质中,Ir(Ⅳ)对KBrO3氧化偶氮氯膦mk的反应具有催化作用,据此建立了测定痕量铱(Ⅳ)的催化光度法。方法测定铱(Ⅳ)的线性范围为0.2~1.2μg/25mL,检出限为6.88×10-10g/mL。拟定的方法已用于冶金产品和岩矿中痕量铱(Ⅳ)的测定,分析结果满意。     

用共振光散射技术研究蛋白质与丽春红2R的相互作用

在pH3．50的Britton-Robinson缓冲溶液中，丽春红2R与蛋白质发生结合反应，使最大波长为352．5nm的共振散射光谱得到加强。据此建立了利用丽春红2R作探针，用共振散射光谱技术测定蛋白质的新方法。散射光强度与牛血清白蛋白(BSA)、人血清白蛋白(HAS)和免疫球蛋白(IgG)的浓度在0．25～17．5μg／mL范围内成正比。方法的稳定性好，快速、简便，绝大多数氨基酸、金属离子均不产生干扰，用于人血清样品中蛋白质的测定，获得了满意的结果，加标回收率为93．4％～100．1％。     

Synthesis and Crystal Structure of a 1D Chained Coordination Polymer Containing One-dimensional Egg-like Channels： {[Cu2（C2O4）2（inta）4]（inta）}n （inta = Isonicotinamide）

A new one-dimensional copper coordination polymer chain has been prepared and fully characterized by single-crystal X-ray diffraction,elemental analyses and IR spectroscopy. The compound {[Cu2(C2O4)2(inta)4](inta)}n1 crystallizes in the triclinic system,space group P1,with a=8.4722(5),b=10.9825(6),c=11.6128(6),α=104.8050(10),β=102.5740(10),γ= 109.6890(10)o,V=927.18(9)3,Mr=929.79,Z=1,Dc=1.665 g/cm3,F(000)=475,μ=1.231 mm-1,R=0.0453 and wR=0.1185 for 3290 observed reflections (I > 2σ(I)). Of the compound,the Cu center is octahedrally coordinated with oxalate acting as a tetra-dentate ligand coordinated to the copper atom and each inta serving as a terminal ligand by employing only one N-donor to coordinate with the Cu center. An infinite {Cu2(C2O4)2}∞ chain is formed along the c axis. Furthermore,the 1D chains are held together via extensive hydrogen-bonding interactions to generate a three-dimensional network with 1D channels (ca. 5.491×11.507) where inta molecules are filled.     

INHERITANCE OF DIVISIBILITY FORMS A LARGE SUBALGEBRA

Let A be an infinite dimensional stably finite unital simple separable C^*-algebra.Let B■A be a stably(centrally)large subalgebra in A such that B is m-almost divisible(m-almost divisible,weakly(m,n)-divisible).Then A is 2(m+1)-almost divisible(weakly m-almost divisible,secondly weakly(m,n)-divisible).     

Gd掺杂对Bi2Sr2Ca1-xGdxCu2Oy单晶载流子浓度和各向异性电阻率的影响

系统地研究了Gd掺杂对Bi2Sr2Ca1-xGdxCu2Oy单晶超导电性及各向异性电阻率的影响.Tc满足Tc/Tc,max=1-82.6(ax+b)2,并随Gd含量的增加而下降,这是由于Gd掺杂引起载流子浓度减小所导致.在x≥0.19时,ρab(T)在Tc附近有类半导体行为,dρab/dT随Gd含量增大而增大.ρc(T)呈半导体行为,并可用唯象公式ρc(T)=(a/T)exp(Δ/T)+bT+c加以描述.电阻率各向异性ρc/ρab随掺杂浓度增大而增大.     

Lp径向Blaschke-Minkowski同态的Lp对偶几何表面积

2006年，Schuster提出了径向Blaschke-Minkowski同态的概念.随后，汪卫等人将其推广到L_p径向Blaschke-Minkowski同态.本文结合L_p对偶几何表面积，建立了L_p径向Blaschke-Minkowski同态的若干不等式，包括Brunn-Minkowski型不等式和单调不等式.并给出了L_p径向Blaschke-Minkowski同态的Busemann-Petty问题的肯定和否定形式.     

基于多目标最优化混合按订单生产和提前生产策略库存模型算法

考虑了包含多阶段和多家零售商在内的混合按订单生产(Produce-to-Order)和提前生产(Produce-in-Advance)策略库存模型.将这一模型推广至多种产品情况下,当需求为正态分布时,将这一问题转化为一类多目标约束最优化问题,并给出两种算法来解决这一问题.