对一种筛法的探讨

从筛法的本质出发,深入讨论一种标准筛法的有关性质,寻找其内在规律,最后得出一种差集非空的充分条件和一些比较实用的结论。     

居加猜想的一个等价命题

文章利用数论中的一些简单结果,建立了居加猜想的一个等价命题。     

一类排列的计数问题

应用容斥原理解决了不含连续数对的一系列排列的计数问题。并将其进行了推广。     

关于艾森斯坦因判别法的间接应用

探讨了间接应用艾森斯坦因判别法判断整系数多项式在有理数域上不可约的两种途径.     

一维连通流形的分类（Ⅰ）

连通的一维流形在同胚的意义之下恰可分成７类，它们分别以下列７个空间作为代表：１）紧致区间［０，１］；２）半实轴［０，∞）；３）实数轴Ｒ；４）单位圆周Ｓ１；５）超穷长半直线［０，ω１）；６）单向超穷长直线（－∞，ω１）；７）（双向）超穷长直线（－ω１，ω１）．     

Kerr介质中级联三能级原子与压缩相干态相互作用的光子统计演化

本文研究了存在Kerr介质的高Q腔中压缩相干态与级联三能级原子相互作用的光子统计演化规律,讨论了光场参数、Kerr介质及相干振幅对平均光子数的影响.     

Differential geometry of tensor product immersions

In this article we obtain the best possible estimates of the type number of tensor product immersions and investigate tensor product immersions with lowest possible type. Several classification theorems in this respect are then proved.     

Topological order in the phase diagram for high-temperature superconductors with point defects

Applying a Lindemann like criterion obtained previously by Kierfeld et al. [J. Kierfeld, T. Nattermann, T. Hwa, Phys. Rev. B 55 (1997) 626], we estimate the magnetic field and temperature for a high-T_c superconductor, at which a topologically ordered vortex glass phase becomes unstable with respect to a disorder-induced formation of dislocations. The employed criterion is shown to be equivalent to a conventional phenomenological Lindemann criterion including the values for the numerical factors, i.e., for the Lindemann number. The positional correlation length of the topologically ordered vortex glass is calculated.     

组合原则回溯

从组合原则产生的背景和关键入手，分析和叙述了里兹的组合原则在光谱学上的重要意义，同时，也阐述了它与玻尔氢原子理论之间的关系。     

Diagrams,orientations, and varieties

One of the central problems in the theory of ordered sets is to describe the orientations of the covering graph of an ordered set. We show that the particular operation called inversion, together with the classical constructions of retraction and product, provide a context for the classification of all such orientations. AMS subject classifications (1980). 06A10, 05C75, 05C20.