全聚点集与(?)_α-紧性

豪斯道夫曾以邻域O_ε(x)中含有集A的至少一点,无限多点,不可数多点来定义集A的接触点,极限点和凝聚点。 用同样的方法,邦德列雅金在《连续群》一书中又提出完全凝聚点的概念,即我们本文中的全聚点。 在这篇文章中,我们引进了全聚点和-紧性的概念,讨论了全聚点集的并、交运算,及它们的基本性质,简单地介绍了全密集、全闭集和全聚集的概念。     

ON THE ALMOST EVERYWHERE CONVERGENCE FOR ARBITRARY STOCHASTIC SEQUENCE

The purpose of this paper is to establish a class of strong limit theorems for arbitrary stochastic sequences. As corollaries, we generalize some known results.     

葡萄酒的评价

针对目前评酒员对葡萄酒评价存在较大的主观性和不稳定性的问题,该文先通过主成分分析法对酿酒葡萄和葡萄酒的理化指标进行降维,得到几组能分别代表一类理化指标的主成分.然后,分别讨论是否引入芳香物质指标两种情况,将各主成分与葡萄酒质量进行了两次多元线性拟合.结果发现,引入芳香物质能显著优化对白葡萄酒的拟合效果,但对红葡萄酒的优化不明显.故红葡萄酒的质量可用理化指标来评价;而白葡萄酒的质量则需用理化指标和芳香物质来评价.     

关于任意随机可积序列的一个强收敛定理

本文研究了可积随机适应序列强收敛定理的问题.利用构造截尾停时以及鞅差序列的方法,获得了一类任意积随机适应序列的强收敛定理,推广了若干已知的结果.     

全聚点集与(?)α-紧性

In this paper we introduce the concept for the set of complete cluster point and (?)_α-cormpactness in the metric space. We have proved several primitive properties relatedto the complete cluster point and set of complete cluster point. We have discussed the relationship among some kinds of (?)_α-compactness; and analysed the relationship among the (?)_α-compactness and the general compactness. We have found that the (?)_α-compactness and the general compactness are eqivalent to each other in the metric space.     

关于条件期望的注记

利用条件期望的定义和性质给出了两个例子说明随机变量序列的条件期望唯一存在的情况.     

关于全聚点集的几个定理

类似于距离空间中的定义,我们有拓扑空间中全聚点集和子集式■_α-紧的概念。在这里,我们给出全聚点集的几个定理。定理1 设X是拓扑空间,Aì,x,有     

非均匀声速场中高精度逐次逼近声源定位方法

针对非均匀声速场中传统飞行时间法无法直接计算声源到各声接收点的精确距离从而影响定位精度的问题,提出了一种基于逐次逼近方法的高精度声源定位方法。建立二维平面模型,推导证明了均匀声速场和固定声接收阵型中逐次逼近定位理论的正确性。然后,在任意分布的非均匀声速场和接收阵型条件下,仿真证明逐次逼近法的有效性,以及迭代次数和接收点个数与定位精度的关系。结果表明,该算法可用于非均匀声速场中任意位置声源的声学定位,在125 m×125 m水平区域中,声速起伏范围为±5 m/s,当迭代次数大于26次时,定位误差可小于1 mm,且定位精度随着迭代次数和接收点个数的增加而提高。     

胆汁酸为载体的肝靶向一氧化氮释放药物的设计与合成

新型肝靶向一氧化氮释放药物对许多肝脏疾病具有较好的治疗作用. 以胆酸和熊去氧胆酸作为药物的载体, 以氨基酸作为联接子, 以氨基酸的α羧基模拟胆酸或熊去氧胆酸分子24位羧基的负电性, 最大限度地保持胆酸或熊去氧胆酸的结构特征, 通过酰胺键将载体与一氧化氮供体硝酸酯偶联, 设计并合成了一系列新型肝靶向一氧化氮释放偶合物, 其结构经元素分析, IR, 1H NMR和MS光谱分析确证. 利用四氯化碳及对乙酰氨基酚所致小鼠急性肝损伤模型研究化合物对小鼠急性肝损伤的修复作用.     

The effects of degree correlations on network topologies and robustness

Complex networks have been applied to model numerous interactive nonlinear systems in the real world. Knowledge about network topology is crucial to an understanding of the function, performance and evolution of complex systems. In the last few years, many network metrics and models have been proposed to investigate the network topology, dynamics and evolution. Since these network metrics and models are derived from a wide range of studies, a systematic study is required to investigate the correlations among them. The present paper explores the effect of degree correlation on the other network metrics through studying an ensemble of graphs where the degree sequence (set of degrees) is fixed. We show that to some extent, the characteristic path length, clustering coefficient, modular extent and robustness of networks are directly influenced by the degree correlation.