关于分圆域Q(ζ_p)类数的第一因子的行列式表示

设p是奇素数，是分圆域K＝Q（ζp）类数的第一因子。本文运用代数方法证明了：可表成p／2p-2γp与一个元素均为±1的（p-1）／2阶行列式的乘积，上述公式Carlitz和Olson的经典结果。     

局部环上欧氏空间中象对称表为对称的分解

局部环上欧氏几何中 ,正交变换表为对称问题 ,是环上欧氏几何的基本问题之一 .本文探讨的是如何将域上欧氏几何中 ,关于这一问题的结果 ,有效的转到环上来 .     

An online copy number variant detection method for short sequencing reads

The availability of the next generation sequencing (NGS) technology in today's biomedical research has provided new opportunities in scientific discovery of genetic information. The high-throughput NGS technology, especially DNA-seq, is particularly useful in profiling a genome for the analysis of DNA copy number variants (CNVs). The read count (RC) data resulting from NGS technology are massive and information rich. How to exploit the RC data for accurate CNV detection has become a computational and statistical challenge. We provide a statistical online change point method to help detect CNVs in the sequencing RC data in this paper. This method uses the idea of online searching for change point (or breakpoint) with a Markov chain assumption on the breakpoints loci and an iterative computing process via a Bayesian framework. We illustrate that an online change-point detection method is particularly suitable for identifying CNVs in the RC data. The algorithm is applied to the publicly available NCI-H2347 lung cancer cell line sequencing reads data for locating the breakpoints. Extensive simulation studies have been carried out and results show the good behavior of the proposed algorithm. The algorithm is implemented in R and the codes are available upon request.     

关于代数体函数的增长与其例外函数个数的关系

设f（z）为n值代数体函数，如果f（z）具有n＋1个Borel例外函数，则f（z）是正规增长的，其级为正整数或无穷。如果f（z）的级ρ（0＜ρ＜∞）不为整数，记P为f（z）的Borel例外函数个数，q为f（z）的亏量等于1的Nevanlinna例外值个数，则P＋q≤n．     

On a Pandemic Threshold Theorem of the Early Kermack–McKendrick Model with Individual Heterogeneity

A pandemic threshold theorem of the Kermack–McKendrick epidemic system with individual heterogeneity is proved from the definition of R ₀ by Diekmann, Heesterbeek, and Metz. The early Kermack–McKendrick epidemic model is extended to recognize individual heterogeneity, where the state variable indicates an epidemiological state or genetic, physiological, or behavioral characteristics such as risk of infection. With the basic reproduction number R ₀ for the heterogeneous population, the final size equation of the limit epidemic starting from a completely susceptible steady state at t = ?∞ has a unique positive solution if and only if R ₀  > 1. The main result is that the positive solution of the final size equation gives the lower bound of the intensity of any epidemic starting from a host population composed of susceptible and a few infected individuals who spread on a noncompact domain of the trait variable.     

Two-person sequential bargaining behavior with exogenous breakdown

We examine bargaining behavior in a noncooperative game in which players alternate in making and responding to proposals over the division of a given surplus. Although the number of bargaining periods is unlimited and time is not discounted, the bargaining is subject to exogenous breakdown at each period with a fixed probability which is common knowledge. We manipulate three probabilities of break-down in a between-subjects design that allows comparison with previous studies of two-person bargaining with time discounting. Assuming that subjects maximize expected utility, and this utility is measured by monetary payoffs, our results reject both the subgame perfect equilibrium and equal split solutions. Data analyses reveal that a substantial percentage of subjects behave adaptively in that they systematically search for the highest acceptable demands.     

合肥市历史文化街区建设研究

基于富有历史文化内涵的特色街区的概念和特征,对合肥特色街区分类、布局以及建设过程中存在问题进行分析,着重介绍和探讨了历史文化街区利用和保护问题,最后从规划设计、合理定位、政府及社会广泛参与等几个方面,提出了历史文化街区建设的对策建议。     

量词插入与汉英数量表述

名词可以分为两类:带有[+个体]特征的名词和带有[-个体]特征的名词.定量数词只能直接加在带有[+个体]特征的名词前面来计数.为了挽救定量数词的这一局限性,汉语和英语都选择了“量词插入”这一手段,但在汉语中“量词插入”属于词汇手段,即用附加手段将“量词”作为语素创造出一种新的双音节词汇；而在英语中“量词插入”则是句法手段,它必须满足“格检验式”这一句法规则.