A facile preparation of (±)-β-hydroxy nitriles and their enzymatic resolution with lipases

A simple and efficient method for the preparation of racemic 4-aryloxy-3-hydroxybutanenitriles is described. Lipase mediated kinetic resolution in organic media was then utilised to effect enantioseparation. Lipases from different sources were screened in the resolution reaction using a number of organic solvents. Enantiomeric excesses of up to 99% were obtained by employing lipase from Pseudomonas cepacia in di-iso-propyl ether medium.     

关于超球级数所定义的整函数

给出了超球级数所定义整函数的下阶、下型与极大项、中心指标、最大模之间的关系及几个不等式，并由此推出了超球级数成正规增长的充要条件及成完全正规增长的充要条件．     

紫外光谱研究β-环糊精衍生物与α-环己基扁桃酸的包结作用

用紫外光谱分别研究了在水溶液和50%乙醇水溶液两种不同介质中,羟丙基β-环糊精(HPβ-CD 1)、羟乙基β-环糊精(HE-β-CD 2)和甲基β-环糊精(Me-β-CD 3)与α-环己基扁桃酸(CHMA)形成的包结物的稳定性.研究结果表明主客体的包结比为1:1,在水溶液中,三种主体的包结能力均较弱,其包结能力的强弱顺序为:3＞2＞1.而在50%乙醇水溶液中,主客体包结物的稳定性大大提高,并且三种主体的包结能力强弱顺序发生改变,依次为:1＞2＞3.     

Inequalities for the weighted mean of -convex functions

In this paper, the inequalities for the weighted mean of -convex functions are established. As applications, inequalities between the two-parameter mean of an -convex function and extended mean values are given.

     

Some Inequalities for Two Simplices

In this paper, we establish some inequalities for two n-dimensional simplices in the n-dimensional Euclidean space E ⁿ .     

An Inequality for the Pedal Simplex

In this paper, we improve an inequality on the volume of the pedal simplex.     

具分片常变量泛函微分方程的全局稳定性

本文研究具分片常变量泛函微分方程,其中[·]表示取整函数,r(t)∈C([0,+c),(0,+c)),P_i∈[0,+c),(i=1,2,…,m),P_m>0,文中给出了保证方程的每一满足初始条件N(0)=N₀>0,N(-j)=N_-j≥0(j=1,2,…,m),的解N(t)满足lim_t→∞N(t)=N^*的一些新的充分条件.     

Markovian risk process

A Markovian risk process is considered in this paper,which is the gener- alization of the classical risk model.It is proper that a risk process with large claims is modelled as the Markovian risk model.In such a model,the occurrence of claims is described by a point process {N(t)}_(t≥0) with N(t) being the number of jumps during the interval(0,t]for a Markov jump process.The ruin probabilityΨ(u)of a company facing such a risk model is mainly studied.An integral equation satisfied by the ruin probability functionΨ(u)is obtained and the bounds for the convergence rate of the ruin probabilityΨ(u)are given by using a generalized renewal technique developed in the paper.