G-旋模型场代数中的对偶定理

设Ｇ是有限群，　Ｈ是Ｇ的子群，Ｄ（Ｇ）为Ｇ的Ｄｏｕｂｌｅ代数，　Ｆ是　Ｇ－旋模型所对应的场代数．　本文考虑Ｄ（Ｇ）的Ｈｏｐｆ子代数Ｄ（Ｈ），证明了Ｆ的Ｄ（Ｈ）不变子空间ＡＨ是Ｃ＊－代数．Ｄ（Ｈ）存在Ｃ＊－表示，使得Ｄ（Ｈ）和ＡＨ互为换位子．     

STUDIES ON RESPONSE CHARACTERISTICS OF DRUG ION-SELECTIVE ELECTRODES (Ⅱ)——SULPHA-DRUG SENSITIVE ELECTRODES USING QUATERNARY PHOSPHONIUM AND ARSONIUM COMPOUNDS

Ion-pair complexes of sulphonamide derivatives with quaternary phosphonium and quaternary arsonium have been synthesized and their electrode performances studied. It has been found that the electrode functions depend mainly on the site cation rather than on the anionic species and deteriorate in the order of cetyhrioctylammonium>cetyltriphenylphosphonium> cetyhriphenylarsonium. The electrode selectivity for different sulpha-drugs decreases in the order of sulphathiazole>sulphamethoxazole>sulphadimethoxine, sulphadoxine>sulphacetamide>sulphadiazine>sulphanilamide. Selectivity coefficients depend not only on the molecular connectivity index χ, but also on the electronic charge at the ionizing amide nitrogen atom σ and pK, according to the following formula: logK_(ij)=aχ+bσ—CpK_a—d. The quaternary phosphonium type electrodes have been suggested for use in the potentiometric determinations of sulpha-drugs.     

A calculus of direct limits of probability spaces

In this paper, several results on probability spaces have been extended to direct limits of such. The calculus includes convergence sequences, conditional expectations, completeness questions and extensions of probability spaces.     

有向循环图的连通度

本文给出了有向循环图连通度达到其最小度的一个充要条件.     

Conditional Value-at-Risk in Stochastic Programs with Mixed-Integer Recourse

In classical two-stage stochastic programming the expected value of the total costs is minimized. Recently, mean-risk models - studied in mathematical finance for several decades - have attracted attention in stochastic programming. We consider Conditional Value-at-Risk as risk measure in the framework of two-stage stochastic integer programming. The paper addresses structure, stability, and algorithms for this class of models. In particular, we study continuity properties of the objective function, both with respect to the first-stage decisions and the integrating probability measure. Further, we present an explicit mixed-integer linear programming formulation of the problem when the probability distribution is discrete and finite. Finally, a solution algorithm based on Lagrangean relaxation of nonanticipativity is proposed. Received: April, 2004     

布尔矩阵的组合合成及其图表示

本文综术了有关布尔矩阵的组合合成的现有结果,用图论方法展示了它们的组合性质,提出了一些待解决的问题。     

A note on asymptotic expansions for sums over a weakly dependent random field with application to the Poisson and Strauss processes

Previous results on Edgeworth expansions for sums over a random field are extended to the case where the strong mixing coefficient depends not only on the distance between two sets of random variables, but also on the size of the two sets. The results are applied to the Poisson and the Strauss point processes, giving rise also to local limit results.     

用对数线性模型比较香港居民在超市与便利店的购买行为

对于抽样调查比较香港居民在超市与便利店的购买行为所得的配对设计的方列联表数据，用对数线性模型进行分析。     

确定热力学萃取平衡常数的一种简单的作图方法

本文提出一种确定萃取反应热力学萃取平衡常数的单参数方程（°↑α=4.9），方法简便，用P538萃取硫氰酸钒（Ⅳ）配合物的实验，在较宽的离子强度范围内有良好线性关系，在一般萃取实验条件下，用作图法可求出热力学萃取平衡常数，有普遍意义。     

相依样本下条件密度递归双重核估计的强相合性

本文给出了条件密度的递归形式的双重核估计,并且在样本序列为平稳φ-混合的条件下讨论了它的强相合性。