妙用“0·x=0”解题

我们知道:不论x取何实数时,都有0·x=0恒成立,所以要使ax=b(x为变量,a,b为常数)对于任意实数x恒成立,必须有a=0,且b=0.在一些定值、定点、轨迹和求值等问题     

过氧化氢氧化甲基红抑制动力学光度法测定痕量双酚A

基于过氧化氢在盐酸介质中可氧化甲基红,双酚A的加入可明显抑制该氧化反应的进行,据此建立了一种新的测定双酚A的抑制动力学分光光度法。研究了该催化褪色反应的最佳动力学条件和参数。在测定波长520nm下,测定方法的线性范围0.5~9.0μg·mL-1,检出限为2.27×10-9g·mL-1。催化反应为动力学零级反应,表现活化能为49.26kJ·mol-1,催化反应速率常数为1.21×10-3s-1。方法用于矿泉水瓶浸取液中双酚A的测定,相对标准偏差为2.3%~2.7%,加标回收率在96.7%~104.0%之间。     

Influence of Excitation Pulse Width on the Second-Order Correlation Functions of the Exciton-Biexciton Emissions

We investigate theoretically the population dynamics and the second-order correlation functions of photon emissions from the biexciton-exciton system of a single quantum dot with excitation from pulses to continuous wave. The dynamic equations of the correlation functions are deduced by applying quantum regression theorem to optical Bloch equations. The influences of excitation pulse width on the correlation function have been discussed in detail.     

超新星研究进展

本文先介绍超新星巡天和分类,简要地论述历史超新星SN 1006一千年,接着讨论核心塌缩超新星物理和具体事例(SN 1987A 20年、SN 2006gy、2008D)及超新星与γ射线暴的联系,文章重点讨论Ia型超新星和宇宙学,评述了Ia型超新星在宇宙学中的应用和哈勃常数的确定,最后指出超新星研究目前存在的问题。     

Different Epidemic Models on Complex Networks

Models for diseases spreading are not just limited to SIS or SIR. For instance, for the spreading of AIDS/HIV, the susceptible individuals can be classified into different cases according to their immunity, and similarly, the infected individuals can be sorted into different classes according to their infectivity. Moreover, some diseases may develop through several stages. Many authors have shown that the individuals＇ relation can be viewed as a complex network. So in this paper, in order to better explain the dynamical behavior of epidemics, we consider different epidemic models on complex networks, and obtain the epidemic threshold for each ease. Finally, we present numerical simulations for each case to verify our results.     

ON THE EXPECTED DISCOUNTED PENALTY FUNCTION IN A MARKOV-DEPENDENT RISK MODEL WITH CONSTANT DIVIDEND BARRIER

This article considers a Markov-dependent risk model with a constant dividend barrier. A system of integro-differential equations with boundary conditions satisfied by the expected discounted penalty function, with given initial environment state, is derived and solved. Explicit formulas for the discounted penalty function are obtained when the initial surplus is zero or when all the claim amount distributions are from rational family. In two state model, numerical illustrations with exponential claim amounts are given.     

Equation of State and Elastic Constants of Compressed fcc Cu

First-principles calculations of equation of state and single-crystal elastic constants of copper are carried out up to twofold compression. The Helmholtz free energies are calculated using the quasi-harmonic phonon approach based on density-functional theory within both the local density approximation and the generalized gradient approximation （GGA）. We find that the results calculated within GGA agree better with the experimental measurements in overall. The equation of state and the zero-pressure single-crystal elastic constants are close to the experimental values.     

杯[6]芳烃-双金属卟啉仿P450酶模型的研究Ⅱ.轴向配体对环己烯环氧化反应的影响及反应动力学考察

研究了轴向配体对杯[6]芳烃-双金属卟啉仿P450酶模型催化环己烯环氧化反应的影响,并考察了反应的动力学规律,结合UV-vis监测反应的结果,提出了一种可能的反应机制.