L-预拓扑空间中模糊网的O-收敛及其应用

利用L-点的邻域研究了L-预拓扑空间中模糊网的O-收敛性,在此基础上刻画了L-预拓扑空间中的闭集、开集以及模糊紧集,并给出T2L-预拓扑空间的两个判据。     

On Inverse Limits and Direct Limits for Fuzzy Topological Spaces

Li has introduced the concepts of inverse system and direct system for fuzzy topological spaces and studied inverse limits and direct limits on such spaces by presenting the explicit constructions of these limits.In this paper some important concepts of fuzzy topology,such as,product fuzzy topology,quotient fuzzy topology,fuzzy continuity etc.,are used for further study of inverse limits and direct limits for fuzzy topological spaces.     

直觉模糊度量空间上的半群作用

讨论在直觉模糊度量空间上的拓扑半群作用,引入诸如拓扑传递性,点传递性及点稠传递性等概念.考虑非敏感性与传递性,等度连续等动力学性质的相互关系.     

齐型空间上的Lipschitz函数与Littlewood－Paley g－函数

在θ阶正规齐型空间上，如果算子列｛Ｓｋ｝ｋ∈Ｚ是恒等逼近，Ｄｋ＝Ｓｋ－Ｓｋ－１；本文给出一个用｛Ｄｋ｝ｋ∈Ｚ表达的ｆ∈Ｌｉｐα（Ｌｉｐｓｃｈｉｔｚ函数类，０＜α＜θ）的充分必要条件．作为其推论得到，对于ｆ∈ＬＩｐα，其Ｌｉｔｔｌｅｗｏｏｄ－Ｐａｌｅｙｇ函数ｇ（ｆ）（Ｘ）或者处处为无穷大，或者在Ｌｉｐα上有界．     

强流离子注入机加速管的聚焦特性研究

 讨论了三间隙强流离子加速管的聚焦特性，计算了各种能量下离子束聚焦情况，并分析了抑制空间电荷效应所需要的电场强度。最后总结了三间隙加速管设计和调试应注意的问题。     

Stability and transport properties of an intense ion beam propagating through an alternating-gradient focusing lattice

Stability and transport properties of an intense ion beam propagating through an alternating-gradient focusing lattice with initial Kapchinskij-Vladimirskij (KV) distribution are studied using newly-developed perturbative (δf) particle simulation techniques. Stability properties are investigated over a wide range of beam current and focusing field strength. In the unstable region, large-amplitude density perturbations with low azimuthal harmonic numbers, concentrated near the beam surface, are observed. Their nonlinear consequences are discussed.     

Zum Phänomen der induzierten optischen Aktivität: Der induzierte Circulardichroismus in Mischungsreihen

The induced circular dichroism (ICD) of 4-Nitroso-N,N-dimethylaniline in a series of mixtures of CCl₄, lactic and tartaric acid methylesters andcis-pinane, resp., was determined. From the dependence of the ICD on the concentration of chiral components the existence of a strong intermolecular interaction can be deduced—even in the case of apolarcis-pinane. Obviously the border line between associate induced CD (AICD) and dispersion induced CD (DICD) cannot be drawn unequivocally by experiment. The general phenomenology together with mechanistic models of ICD are discussed. It is proposed to use the term ICD exclusively, instead of others like AICD and DICD, which are only applicable when the predominant mechanism can be derived from experimental data. The term SICD (solvent induced CD) should be avoided for similar reasons.

     

Application of fuzzy sets to transient analysis of space structures

An application of fuzzy sets, in conjunction with finite elements, to the transient analysis of a precision-deployable space structure is presented. The structural members are modeled by using beam finite elements, and the structure's latch joint is modeled by using a spring–damper–Coulomb friction element. Two types of transient response simulations are performed: slow transient load–deflection response and transient impulse response. The first simulation is used to evaluate the stiffness and buckling loads at the structure's tip. The second simulation is used to evaluate the structure's natural frequencies, mode shapes and the precision of the final shape. For each simulation the possibility distributions of various response quantities are obtained. Fuzzy sets are used to represent three beam properties, namely: damping coefficient, bending stiffness, and axial stiffness; as well as two joint parameters: Coulomb friction force and damping coefficient. Fuzzy set techniques provide an insight into the range of possible responses associated with the combined selected variations in the system parameters.     

A General Gordan Alternative Theorem with Weakened Convexity and Its Application

In this paper, we present a general Gordan alternative theorem for presubconvexlike functions in a Hausdorff topological linear space. This is then applied to discuss the saddle point theorem, concave-convex condition and minimax theorem for vector extremum problems.