BCI-代数的加法序半群的理想

说明了一般BCI-代数(X,*,0)的加法半群是序半群,讨论了它作为序半群的理想和核的性质,并由此刻画了BCK-代数和p-半单BCI-代数.     

First-principles study of the interactions of hydrogen with low-index surfaces of PdCu ordered alloy

PdCu catalysts play a key role in several hydrogen-involved processes. Among these reactions, the interaction of hydrogen with PdCu essentially determines the catalytic performance. However, the response of PdCu to surrounding hydrogen has been poorly investigated, especially for specific facets of PdCu at different environment. In this work, taking temperature and hydrogen pressure into account, we studied the hydrogen-surface interactions for four low-index surfaces of PdCu through first-principles calculations. It was found that H-PdCu adsorption strong relies on the facets, hydrogen coverage, and reaction environment (temperature and H-pressure). Our work highlights the importance of the environment on the nature of catalyst surfaces and reactions and offers a plausible way to investigate the interactions between gas and the surfaces of nanocatalysts in real reactions.     

C-半群的紧性

引入了算子为 C-紧的定义及紧的 C-半群的概念 .讨论了紧的 C-半群的一些性质 ,并给出了 C-半群为紧的一个充要条件 .     

超临界流体技术制备有序材料研究进展

超临界流体由于其特殊的性质, 是制备在纳米及微米尺度范围有序结构的一种良好的溶剂, 其中包含超临界二氧化碳. 超临界流体根据其特殊性, 可扩展“自上而下”的方法, 包括沉积法、清洁法、刻蚀法和表面修饰法, 从而达到最精细的雕琢. 当采用“自下而上”的方法时, 由于二氧化碳分子与聚合物的相互作用, 尤其是与嵌段共聚物模板的作用, 可促使完全的结构精细化, 因此超临界流体中纳米粒子和纳米线的合成近年来发展迅速, 由此制备的有序结构材料在微电子、探测技术、能量转换等领域显示了令人欣喜的应用前景. 本文就有关领域, 对超临界流体技术的基础及其应用进行了评述.     

偏序集上拟压缩映象的一个不动点定理及应用

证明了偏序集上拟压缩映象的一个不动点定理,将偏序集上的单调映象不动点的存在性推广到拟压缩映象的情形,并应用此结果得到了在一定条件下一对耦合映射的不动点的存在性.     

线性序拓扑空间上不稳定流形的映射性质

文章研究完备稠序的线性序拓扑空间上连续自映射f的不稳定流形。首先证明了不动点P的不稳定流形与P的任意邻域V的交集,通过f有限次迭代之后,会包含P的不稳定流形。然后利用此结果证明了f~k在p_i(1≤i≤k)的不稳定流形被f映射的象集合为f~k在f(p_i)的不稳定流形(其中p_i为f的k-周期轨上的点)。     

局部凸空间中非点式锥的Henig有效点

从非点式锥的观点出发,在局部凸向量空间中引进广义的Ｈｅｎｉｇ有效点的概念。在此基础上,得到了广义的Ｈｅｎｉｇ有效点在局部凸空间中的存在性,纯量化和稠密性定理。     

Synthesis of 3-D ordered macroporous silicate using the template formed from monodispersed polystyrene latex

Based on the template formed from monodispersed polystyrene (PS) latex, a modified fast sol-gel process was employed to synthesize a three-dimensional (3-D) ordered macroporous silica material after removing the template by calcination at high temperature. It was indicated that there existed highly ordered packed pores within the whole silica material by SEM morphology observation. It was also found that the pores were interconnected. The pore size could be controlled mainly by varying the particle size of the latex ranging from 10¹ to 10² nm. The formation process of the ordered pores was also preliminarily discussed.     

关于选择理论的若干进展及相关问题

本文综述了选择理论近年来的若干进展,分别介绍了它和收缩核理论、函数插入问题、广义度量与覆盖性质之间的联系,提出了一系列相关问题．     

利用自组装技术制备二维胶体球阵列

利用自组装技术制备了二维有序胶体阵列,并对其自组装机制进行了分析．以此二维有序胶体阵列为掩模可以制备二维金属薄膜孔洞阵列和硅基孔洞阵列,这在传感器和记录介质方面具有广泛应用．