扩展原理注解下的语言动力学轨迹

语言动力系统(LDS)以词计算代替常规的数值符号计算,通过将常规数值动力系统的状态或参数抽象化得到对应的LDS.为了简便计算语言动力学轨迹,采用分类法来注解扩展原理,并讨论了相应的语言动力学性质.     

LQ群及LQR群的构造

通过L分解求得L质数集合,于LQ上定义运算得LQ群;并提出具有正反双性的复元体集W,通过约消变换R获得W,在其上建立容消运算U,证明W与LQ群同构而称其为LQR群;最后阐述了它们中反元的实际意义与两群的作用.     

Rough正项几何规划及其算法

在rough集合和rough凸集的基础上,提出了rough值集凸函数的概念,建立了rough正项几何规划的知识表示模型、数学模型.此外,研究了rough正项几何规划的数学模型,以及解决多反而少的"悖论"的rough 正项几何规划的算法,它可以化为一单项rough正项几何规划后再化为一个rough线性规划来求解.最后,通...     

关于L—模糊集的分解定理与表现定理

文〔3〕、〔4〕在L稠密的条件下,得到了L—模糊集的分解定理与表现定理。但在实际中我们所用到的很多格都不具有稠密性。本文将在应用相当广泛的一类格——连续格上建立L—模糊集的分解定理与表现定理,大大地扩展了集合套的应用范围。     

Sharpley-Snow定理证明的注记

本文给出了对策论中著名的Sharpley-Snow定理必要性的另一证明,明确了其中非奇异矩阵B的取法,且证明方法不同于单纯形证法。     

可能性理论在工业项目可行性研究中的应用

本文在有关文献的基础上、提出Fuzzy集合基数的定义及可能度的概念，并应用于工业项目可行性研究中方案决策的判定法．同时给出Fuzzy可能度评判标准。     

Assembling Zwitterionic, Water-Soluble Porphyrin and Its Biological Studies

A kind of zwitterionic water-soluble porphyrin 5-(N-trimethyl-4-aminiumphenyl)-10, 15, 20-tri (4-sulfonatephenyl) porphyrin trisammonium salt, has been synthesized. Its biological studies, interactions with DNA and bacteria cells, were investigated. The damage to the cell wall of bacteria E. coli were observed firstly by AFM (Atomic Force Microscope).     

Na(THF)2(μ2-η5-Cp)(η5,η5,η1-Cp3Yb)(THF)]n: The synthesis and X-ray structure of an anionic organolanthanidepolymer formed via self-assembly

Cp2Yb·2THF reacts with CpNa in 1：1 molar ratio in THF at 40℃ for 2 h, and the in situ generated anionic divalent complex NaYbCp3（THF）n reacts further with an excess of CpH at 40℃ for 48h, after work-up, affording the trivalent anionic ytterbium complex[Na（THF）2（μ2-η^5-Cp） （η^5, η^5,η^1-Cp3Yb）（THF）]n：（1） by oxidation reaction of Cp2Yb with CpH. Crystal structure determination reveals that complex 1 has one-dimension polymeric chains of distinct Na（THF）2（μ2-η^5-Cp） （η^5, η^5,η^1-Cp3Yb）（THF） units, which were formed by the coordination of the bridging Cp ligand with Cp3Yb＇THF and Na（THF）2 in η^5,η^5 mode via self-assembly.     

Effect of density of hydrogen-bonding donor on hydrogen-bonded multilayer buildup

The effect of density of hydrogen-bonding donor （HBD） on the formation of layer-by-layer assemblies of poly（4-vinylpyridine） and poly（4-vinylphenol） was investigated. For this purpose, a series of ethyl-substituted poly（4-vinylphenol） （EsPVPhf） with variable ethyl substitute percentage was synthesized by grafting the phenol moiety along the poly（4-vinylphenol） backbone with 1-bromoethane. UV-vis spectroscopy revealed a uniform deposition process of the hydrogen-bonded multilayer consisting of poly（4- vinylpyridine） （PVPy） and EsPVPhf with variable density of HBD. Notably, it was found that increasing the HBD density of EsPVPhf resulted in a marked decrease of both amount of polymers adsorbed and film thickness, which should be related to the EsPVPhf conformation change from coiled state to extended conformation in ethanol solution. Compared with the effect of charge density in polyelectrolyte multUayer, however, there does not exist a critical density of HBD in our case of hydrogen-bonded multilayer assembly. In addition, surface structures of PVPy/EsPVPhf multilayer films also can be tailored controllably by adjusting HBD density of EsPVPhf. As a result, a new method for tuning the structure of hydrogen-bonding-directed multilayer films was developed.