局部有限超拓扑的局部紧性

本文讨论了赋予局部有限拓扑的非空闲子集超空间的局部紧性.主要结果是:X正则,则其闭子集超空间局部紧当且仅当X可表示成一个紧空间与一个离散空间的拓扑和.     

Total surface areas of Group IVA organometallic compounds: Predictors of toxicity to algae and bacteria

There is a high correlation between molecular surface area (TSA) of triorganotin and triorganolead compounds and their toxicity towards a bacterium (Escherichia coli) and an alga (Selenastrum capricornutum). Parallel attempts to correlate other Group IVA organometals incorporating silicon or germanium were unsuccessful. It was further demonstrated, however, that a high correlation was obtainable between certain series of compounds with the same organic substituent but different metal centers involving all Group IVA elements. In both instances, the inability to obtain a quantitative structure-activity relationship (QSAR) for all systems studied appears to be a function of the solubility of the compounds. While organotin TSA values have been found to correlate well with their toxicities toward various organisms, this study clearly suggests that this type of QSAR can be readily extended to include other organometal systems, provided that there is no solubility problem and the toxicity is a function of the hydrophobicity of the organometal compounds.     

双图改进节点法及其应用

与其它方法相比，通过用双图法建立电路网络方程组，可以大大地降低方程组的阶数，显著减少非零元。在处理含有较多受控电压源和受控电流源或短路的电路，其效果较为明显，尤其是处理开关电容电路。并且，双图法还适用于一些特殊的非线性电路。     

有限混合Gamma分布的拓扑稠密性证明

首先给出了有限混合Erlang分布在正实数轴上所有概率分布中稠密的理论证明,进而给出了混合Gamma分布具有稠密性的结论,说明有限混合Gamma分布具有广泛的适用性,可以用来刻画正实数轴上的任意随机变量.     

Growth of Lévy trees

We construct random locally compact real trees called Lévy trees that are the genealogical trees associated with continuous-state branching processes. More precisely, we define a growing family of discrete Galton–Watson trees with i.i.d. exponential branch lengths that is consistent under Bernoulli percolation on leaves; we define the Lévy tree as the limit of this growing family with respect to the Gromov–Hausdorff topology on metric spaces. This elementary approach notably includes supercritical trees and does not make use of the height process introduced by Le Gall and Le Jan to code the genealogy of (sub)critical continuous-state branching processes. We construct the mass measure of Lévy trees and we give a decomposition along the ancestral subtree of a Poisson sampling directed by the mass measure. T. Duquesne is supported by NSF Grants DMS-0203066 and DMS-0405779. M. Winkel is supported by Aon and the Institute of Actuaries, EPSRC Grant GR/T26368/01, le département de mathématique de l’Université d’Orsay and NSF Grant DMS-0405779.     

Banach空间无界域上二阶脉冲积分微分方程的解

在比较宽松的条件下，研究了Banach空间中二阶脉冲积分微分方程在正半实轴上具有无穷个脉冲点的初值问题的解的存在性。利用递归法、Tonelii序列和局部凸拓扑，建立了新的存在性定理，对郭大钧的结果做了本质改进。     

知识论域、知识拓扑与集合邻域

定义了知识论域和知识拓扑，组建了4种拓扑空间，分析了它们的联系．从拓扑算子与近似算子的复合、近似邻域、拓扑不变性质3个方面研究了各个拓扑空间的性质，提出了集合邻域的概念，研究了它与点邻域的深刻联系和对一般拓扑空间的作用，并以它为手段研究了新组建的拓扑空间．     

Normal Vietoris Implies Compactness: A Short Proof

One of the most celebrated results in the theory of hyperspaces says that if the Vietoris topology on the family of all nonempty closed subsets of a given space is normal, then the space is compact (Ivanova-Keesling-Velichko). The known proofs use cardinality arguments and are long. In this paper we present a short proof using known results concerning Hausdorff uniformities.     

3-乙氧基-6-取代苯氧基哒嗪除草活性的相关性研究

在分子拓扑理论的基础上,构建了新的结构信息价连接性指数mχY和取代基染色指数I,并用它们研究了3 乙氧基 6 取代苯氧基哒嗪的除草活性pI50与其结构之间的定量关系,给出了相关方程,相关性良好,复相关系数分别为R1=0.9807、R2=0.9926、R3=0.9881,并预测了几个化合物的pI50值,预测值pI50(cal.)与测定值pI50(exp.)相当吻合.新方法计算方便、结果可靠.     

Epi-Convergence and Lower and Epi-Upper Semicontinuous Approximations in Distribution

The paper introduces an extension of the epi-convergence, the lower semicontinuous approximation and the epi-upper semicontinuous approximation of random real functions in distribution. The new notions could be helpful tools for sensitivity analyzes of stochastic optimization problems. The research is evoked by S. Vogel and continues the research started by Vogel and the author.