一类Block型李代数的分类和中心扩张

本文我们决定了一类Block型李代数$\BB$在同构意义下的分类和中心扩张, 其中$q$是一个非零复数. 我们的结果推广了以前的一些结果.     

An Enantioselective Assembly of Dihydropyranones through an NHC/LiCl‐Mediated in situ Activation of α,β‐Unsaturated Carboxylic Acids

A straightforward N‐heterocyclic carbene (NHC)/LiCl‐mediated synthesis of dihydropyranones from α,β‐unsaturated carboxylic acids and 1,3‐dicarbonyl compounds was realized through the in situ activation strategy. The key advantages of this protocol include ready availability and high stability of starting materials, good yields, and excellent enantioselectivity.     

对数Bloch空间上积型算子的有界性

让H(D)表示复平面C里的单位圆盘D上的所有解析函数的全体,ψ_1,ψ_2∈H(D),而φ是D到D的解析自映射.本文刻画了对数Bloch空间上积型算子T_(ψ_1,ψ2,φ)的有界性.     

Levy���������µķ���Cox-Ingersoll-Ross����ģ�͵�ƽ����

Brownian motion and normal distribution have been widely used in Cox-Ingersoll-Ross interest rate framework to model the instantaneous interest rate dynamics. However, empirical studies have also shown that the return distribution of interest rate has a higher peak and two fatter tails than those of the normal distribution. Meanwhile, when the rare catastrophic shocks occur or the regime shifts in the economy and finance, the money market may have jumps. In this paper, we will consider a class of reflected Cox-Ingersoll-Ross interest rate models with noise. Furthermore, we shall continue to supply the Laplace transform of the stationary distribution about this reflected diffusion process with jumps.     

The effect of secondary structures on the generation of characteristic events during the translocation of DNA hybrid through α-hemolysin

Nanopore has been developed to be a powerful,single-molecule analytical tool for sensing ions,small organic molecules and biomacromolecules such as proteins and DNAs.Generally,the identity of the analyte can be revealed by current amplitude changes and mean dwell time of the analyte binding events.In some cases,generation of highly characteristic current events affords an alternative way of analyte determination with high confidence level.However,we found that secondary structures in DNA/RNA hybrids might severely hinder the generation of signature events during their translocation through?-hemolysin nanopore.In this report,we propose a strategy to add a certain concentration of urea in the buffer solution for single channel recordings and validate that low concentration of urea can effectively denature the secondary structures in DNA hybrids and recover the generation of signature events.This finding might be useful in other secondary structure-related nanopore sensing activities.     

基于可调谐二极管激光吸收光谱技术的密闭玻璃容器中水汽浓度及压力的探测

冻干法处理过的药品瓶中残存的水汽(H₂O)是药品变质的主要影响因素之一, 如何快速准确地测量瓶中的水汽浓度及压力, 是检测药瓶是否泄漏的关键. 本文报道了利用1.39 μm半导体激光器作为光源, 结合波长调制吸收光谱技术, 实现了对密闭玻璃容器(药瓶)中水汽浓度及压力的探测, 并通过转台模拟生产线对系统在动态条件下的性能进行了测试. 研究结果表明, 在0.2%-12%的H₂O浓度范围内真实值与测量值之间的相关度和标准偏差为0.9978 和4.81%, 在0.1-100 atm (1 atm=1.01325×10⁵ Pa)的压力范围内两者之间的相关度和标准偏差为0.982和5.6%, 系统对应的压力及浓度的最低检测限约为2.5 Torr (1 Torr=1.33×10² Pa)和400 ppm. 通过利用转台以及Labview编写的快速在线处理软件进行了动态条件下的测试, 一分钟可以处理300个左右的药瓶, 可以很好地满足快速实时探测的要求. 该方案可以直接应用于药瓶在线检测, 并且使用2台激光器可以实现多组分同时探测分析(如H₂O、氧气等).     

Positive solutions for some second-order four-point boundary value problems

In this paper, the second-order four-point boundary value problem

     

Nonextensive thermostatistics and deformed structures

We obtain a generalized Planck law within the framework of nonextensive statistics making use of a deformed oscillator system. Our results are used to fit the data from the COBE (Cosmic Background Explorer) satellite. Best fit values for the entropy parameter q, the deformation parameter r and for the temperature are found.     

Effect of dextran on the deposition of latex on a glass surface

Adsorption of dextran on hairy latex particles affects the electrophoretic mobility differently, depending on the salt concentration. At a low salt concentration, dextran adsorbs between the hairs, and the expected decrease of mobility with dextran concentration is observed. When the thickness of the dextran layer is greater than the length of the hairs, the anomalous deposition of latex on glass, thought to be caused by the hairs, is eliminated.     

Exponential attractors for a class of evolution equations by a decomposition method

Our aim in this Note is to prove the existence of exponential attractors for a class of evolution equations that includes some models of generalized Cahn-Hilliard equations described in [5] by M. Gurtin. Our proof is based on a decomposition of the difference of two solutions similar to that introduced in [1] by A. Babin and B. Nicolaenko.