Duality Theory in Fuzzy Linear Programming Problems with Fuzzy Coefficients

The concept of fuzzy scalar (inner) product that will be used in the fuzzy objective and inequality constraints of the fuzzy primal and dual linear programming problems with fuzzy coefficients is proposed in this paper. We also introduce a solution concept that is essentially similar to the notion of Pareto optimal solution in the multiobjective programming problems by imposing a partial ordering on the set of all fuzzy numbers. We then prove the weak and strong duality theorems for fuzzy linear programming problems with fuzzy coefficients.     

On the Weak Invariance Principle for Stationary Sequences under Projective Criteria

In this paper, we study the central limit theorem and its weak invariance principle for sums of a stationary sequence of random variables, via a martingale decomposition. Our conditions involve the conditional expectation of sums of random variables with respect to the distant past. The results contribute to the clarification of the central limit question for stationary sequences. Magda Peligrad is supported in part by a Charles Phelps Taft research support grant at the Univeristy of Cincinnati and the NSA grant H98230-05-1-0066.     

Drop properties and approximative compactness in Orlicz-Bochner function spaces

The representation of dual spaces of EM(μ,X), owing to its extensive application, is given in this paper. Using the representation, we get the sufficient and necessary conditions of LM(μ,X) possessing drop property, and extend the result of Hudzik and Wang [H. Hudzik, B. Wang, Approximative compactness in Orlicz spaces, J. Approx. Theory 95 (1998) 82-89]. Simultaneously, under some conditions, the weak^∗ drop property in LM(μ,X^∗) and LM^∗(μ,X) is discussed.     

影响混合酸中各组分含量测定的因素及条件

作者曾提出，两种一元弱酸混合酸以及强酸与一元弱酸混合酸中，第一终点ｐＨ〉３．７的情况下，测定各组分酸含量的方法。在此基础上，本文在理论上推导出第一终点ｐＨ值测量误差ΔｐＨ与分析结果的误差ΔＶｅ２／Ｖｅ＾Ｔ之间的关系式，从而明确了影响误差的因素，并提出误差ΔＶｅ２／Ｖｅ＾Ｔ≤１．０％时的测定条件以及第一终点ｐＨ〈３．７时的测定方法。实验结果表明，如果能满足本文提出的条件，可以获得满意的结果。     

带参数共轭梯度法簇的全局收敛性

共轭梯度法是最优化中最常用的方法之一,广泛地应用于求解大规模优化问题,其中参数β_k的不同选取可以构成不同的共轭梯度法.给出了一类含有三个参数的共轭梯度算法,这种算法能够在给定的条件下证明选定的β_k在每一步都能产生一个下降方向,同时在强Wolfe线搜索下,这种算法具有全局收敛性.     

Synthesis and Crystal Structure of 1,2-Bis-（p-nitrophenylsulfonamido）-4,5-dinitrobenzene

The title compound, 1,2-bis-(p-nitro-phenylsulfonamido)-4,5-dinitrobenzene, was synthesized and characterized by elemental analysis, IR and 1H NMR. A pale yellow prism crystal of C23H26N8O13S2 (Mr = 686.64) was obtained in DMF solution and determined by single-crystal X-ray diffraction method. It crystallizes in triclinic system, space group P1 with a = 10.346(4), b = 12.210(5), c = 12.976(5) , α = 108.220(8), β = 99.482(4), γ = 95.490(4)°, V = 1516.7(10) 3, Z = 2, Dc = 1.504 g/cm3, F(000) = 712, μ = 0.254, Mr = 686.64, the final R = 0.0561 and wR = 0.1487. One sulfonamido group of the title compound is deprotoned and forms N(3)=C(13). The crystal involves N,N-dimethylamine from the decomposition of DMF and the proton is transferred to N,N- dimethylamine. It is a strong proof for the characterization of deprotoned recognition compound by X-ray single-crystal structure.     

溴胺酸Ullmann缩合反应工艺

采用强酸阳离子交换树脂-乙醇-铜粉催化体系代替传统工艺中硫酸-水-铜粉催化体系,对溴胺酸进行Ullmann缩合反应。考察了强酸离子交换树脂用量、有机溶剂种类及反应温度等因素对反应收率的影响。结果表明,在V(乙醇)∶V(水)=9∶1介质中,在溴胺酸、铜粉存在下,树脂用量为16g/L,在70℃下反应3h,溴胺酸缩合产物收率可达94.0%。反应中所使用的离子交换树脂、铜粉和乙醇均可回收再利用,强酸离子交换树脂重复使用5次后其催化活性仍未降低;乙醇回收率可达70%～80%,铜粉的回收率可达85%～90%。     

推广的Tschebyshev多项式及其在解强耦合波导方程中的应用

推广了Tschebyshev多项式，对推广的Tschebyshev多项式的性质作了分析；并应用于求解（ N+1）×（N+1）强耦合环形波导耦合器方程，得出解析解. 具体计算了5×5环形定向耦合器 的解，并对弱耦合与强耦合的关系进行了详细分析. 关键词： 推广的Tschebyshev多项式 强耦合波导耦合器     

聚龙一号装置的强电磁干扰对PDV的影响研究

光子多普勒测速系统(PDV)常采用全光纤模式, 操作方便, 已成为材料超高压动态实验获取动力学特性的重要诊断技术。测速范围和精度与光电传感器和数据采集仪器有关, 激光到达靶面后返回光电转换器, 速度由多普勒引起的频率变化直接解读。聚龙一号装置是开展材料动态实验的重要平台, 放电电流峰值5~8MA, 0~100%上升时间300~750ns。在装置放电过程中, 靶室和大厅中的强电磁干扰可以达到10~300MHz, 当干扰耦合进返回光信号后, 导致速度剖面解读困难。采用聚四氟乙烯绝缘膜和导电铝膜包覆测速探针很好地抑制了强电磁干扰信号对光信号的干扰, 大大提高了速度测量数据的有效性。     

非全局Lipschitz条件下跳适应向后Euler方法的强收敛性分析

本文研究跳适应向后Euler方法求解跳扩散随机微分方程在非全局Lipschitz条件下的强收敛性.通过克服方程非全局Lipschitz系数给收敛性分析带来的主要困难,我们成功地建立了跳适应后向Euler方法的强收敛性结果并得到相应的收敛率.最后,我们通过数值试验对前文所得理论结果做进一步的验证.