Projected subgradient method for non-Lipschitz set-valued mixed variational inequalities

A projected subgradient method for solving a class of set-valued mixed variational inequalities (SMVIs) is proposed when the mapping is not necessarily Lipschitz. Under some suitable conditions, it can be proven that the sequence generated by the method can strongly converge to the unique solution to the problem in the Hilbert spaces.     

C5a受体拮抗剂W-54011的合成

以7-甲氧基-1-萘满酮为原料,经Wittig反应、去甲基化、烯醇互变和Jones氧化反应等制得关键中间体7-甲氧基-1,2,3,4-四氢化萘-1-羧酸(4); 4-异丙基苯胺和4-(二甲基胺基)苯甲醛经过还原胺化反应得(E)-4-{[(4-异丙基苯基)亚胺基]甲基}-N,N-二甲基苯胺(6); 4转化为相应的酰氯后与6反应合成N-[4-(二甲基氨基)苄基]-N-(4-异丙基苯基)-7-甲氧基-1,2,3,4-四氢化萘-1-甲酰胺(W-54011),总收率24%,其结构经¹H NMR, ¹³C NMR和HR-MS（ESI）表征。      

R600a／矿物冷冻油混合物表面张力

本文利用新改进的表面张力实验系统对R600a／矿物冷冻油混合物的表面张力进行了实验研究,其中R600a的质量分数分别为O．95、0．90和0．85,温度范围为253．15-333．15K。实验结果表明,随着含油量的增加,R600a／矿物冷冻油的表面张力逐渐减小,矿物油的存在对纯质制冷剂的表面张力有比较明显的影响。     

铜绿微囊藻液中提取叶绿素a作为基准物用于荧光光度法测定叶绿素含量

用乙醇从铜绿微囊藻中提取叶绿素a并用分光光度法测得提取液中叶绿素a的质量浓度为1 902.5μg·L-1,以叶绿素a作为标准物质,用荧光光度法测定叶绿素含量。叶绿素a的质量浓度在30~1 800μg·L-1范围内与荧光强度呈线性关系。试验表明:该提取液在冰箱4℃条件下保存,5h内其荧光值的相对误差为±2.5%;在pH 3~9范围内应用时,荧光值的相对误差为±5.0%;在温度5℃~30℃范围中使用时,荧光值的相对误差为±3.0%,证明提取液的稳定性能满足使用要求。与叶绿素标准品同时测定了5个水样中的叶绿素含量,经t检验所得结果之间无显著差异,说明可用叶绿素a代替叶绿素标准品作为荧光光度法中的基准物质。     

三种六元瓜环与Sr(Ⅱ)离子的配位及超分子自组装

本文以六元瓜环及两种部分甲基取代六元瓜环(统称为Q[6]s)为构筑元件,合成了4个Q[6]s-Sr髤离子的配合物,用X射线单晶衍射方法测定了配合物的晶体结构。结果表明,Q[6]s-Sr髤离子配合物自组装形成不同结构的分子链,体系中存在Cl-离子时,Q[6]s-Sr髤离子形成配位聚合链,而只有NO3-离子存在时,形成水分子配位桥连的超分子链。     

随机延迟微分方程的全隐式Euler方法

研究随机延迟微分方程数值解具有重要的意义,目前已有显式和半隐式两种数值方法,还没有全隐式的数值方法.本文构造了一种全隐式Euler方法,在该方法中用一些截断的随机变量代替维纳过程增量△W<,n>,接着证明了全隐式方法是1/2阶收敛的并通过数值实验验证了该方法的收敛性.最后,用数值实验表明在某些情况下全隐式方法的稳定性比半隐式方法好一些.     

缺失数据下Pareto分布参数的经验Bayes双边检验问题

本文讨论了缺失数据下Pareto分布参数的经验Bayes(EB)双边检验,利用概率密度函数的核估计构造了参数的经验Bayes检验函数,在适当的条件下证明了所提出的经验Bayes检验函数的渐近最优(a.o.)性,并获得了它的收敛速度.     

Mann iteration of weak convergence theorems in Banach space

In this paper, by using Mann＇s iteration process we will establish several weak convergence theorems for approximating a fixed point of k-strictly pseudocontractive mappings with respect to p in p-uniformly convex Banach spaces. Our results answer partially the open question proposed by Marino and Xu, and extend Reich＇s theorem from nonexpansive mappings to k-strict pseudocontractive mappings.     

OPTIMAL CONVERGENCE RATES OF LANDAU EQUATION WITH EXTERNAL FORCING IN THE WHOLE SPACE

In this paper, we combine the method of constructing the compensating function introduced by Kawashima and the standard energy method for the study on the Landau equation with external forcing. Both the global existence of solutions near the time asymptotic states which are local Maxwellians and the optimal convergence rates are obtained. The method used here has its own advantage for this kind of studies because it does not involve the spectrum analysis of the corresponding linearized operator.     

SOME NEW FAMILIES OF FILTRATION FIVE IN THE STABLE HOMOTOPY OF SPHERES

This study proves a general result on convergence of α2x ∈ ExtA^s＋2.tq＋2q＋1 （Zp, Zp） in the Adams spectral sequence and as a consequence, the study detects some new families in the stable homotopy groups of spheres πtq＋2q-4S which is represented in the Adams spectral sequence by α2fn,α2fn,α2huhmhn ∈ ExtA^5,tq＋2q＋1（Zp,Zp） with tq=p^n＋1q＋2p^nq,2p^n＋1q_P^nq,p^uq＋p^mq＋p^nq,respectively, where α2∈Extα^2,2q＋1（Zp,Zp）,fn∈ExtA^3,p^n＋1q＋2p^nq（Zp,Zp）,fn∈ExtA^3,2p^n＋2q＋p^nq（Zp,Zp）,hn∈ExtA^1,p^nq（Zp,Zp）and p≥5 is a prime,q=2（p=-1）,n≥2.