A Note on the Property of ψ-Function

About the accurate value of ψ ( x ) = Γ′ ( x ) / Γ ( x), we know only ψ (1)and ψ (1/ 2).In this paper, by calculating the accurate values of some series expansion of a function and applying some skills of complex analysis, we prove that the expression of the ψ-function admits a finite expression in elementary function for rational number z. As an application, some examples are given.     

用Barkhausen杂讯研究中碳钢的低周疲劳损伤特性

用磁无损检测技术中的Barkhausen杂讯法评估中碳钢的底周疲劳过程，表明Barkhausen杂讯的幅值B随循环周次N的增长而变化，可以利用B和N的关系曲线来评估材料的损伤特性.     

The stress response factor RpoS is required for the natural transformation of Escherichia coli

The natural transformation of Escherichia coli is a novel and recently developed system that has significance for genetic studies and the biological safety of genetic engineering. However, the mechanisms of transformation, including development of competence and DNA uptake, are not thoroughly understood. In this study, we demonstrated the effect of the general stress response regulator RpoS, which has been associated with E. coli transformation, on natural transformation performed in an “open system”. We find that RpoS is required for natural transformation but not to artificial transformation and RpoS mainly affect transformation in the liquid culture prior to plating. In the liquid culture, RpoS over-expression promotes natural transformation in early exponential phase and static incubation accumulates RpoS and promotes transformation to a limited extent. These findings provide detailed understanding of RpoS function on natural transformation.     

Maximum likelihood estimator of the parameter for a continuous one-parameter exponential family under the optimal ranked set sampling

This paper studies a maximum likelihood estimator (MLE) of the parameter for a continuous one-parameter exponential family under ranked set sampling (RSS). The authors first find the optimal RSS according to the character of the family, viz, arrange the RSS based on quasi complete and sufficient statistic of independent and identically distributed (iid) samples. Then under this RSS, some sufficient conditions for the existence and uniqueness of the MLE, which are easily used in practice, are obtained. Using these conditions, the existence and uniqueness of the MLEs of the parameters for some usual distributions in this family are proved. Numerical simulations for these distributions fully support the result from the above two step optimizations of the sampling and the estimation method.     

一种基于循环回归的推荐算法

提出了一种基于循环回归的推荐算法.首先,对原数据集中的评分数据及缺失值进行离散化处理,然后对离散化数据进行回归模型训练,此过程循环执行并最终建立推荐系统.在离散化阶段,对比不同的离散方法,并对它们的分类粒度开展研究.在模型训练阶段,讨论回归算法对于模型性能的影响.数值计算实验表明,本算法较之近年非常热门的SVDFeaute方法,能够产生更小的均方根误差,验证了算法的有效性.     

浅谈燃气采暖热水炉的概念及其检验标准

从中国加入世贸组织引起燃气行业标准改革入手，引出燃气采暖热水炉的概念，燃气采暖热水炉标准的编写势在必行，并阐述了燃气采暖热水炉的新旧产品检验标准内容要求的不同之处。     

网上CAI系统技术

本文在总结网上CAI已有成果的基础上，概述了未未网上CAI的特点，并提出了网上CAI系统设计的一些想法，指出了尚待研究的一些问题。     

百色起义纪念馆馆舍规划设计

通过对百色起义纪念馆所处环境的分析，提出建设百色市历史文化长廊的规划设想，确定“一轴线，二核心，一序列”的规划结构，在此基础上，介绍了具有强烈时代感和个性特征的百色起义纪念馆馆舍的规划设计。     

Catastrophe mechanism and classification of discontinuity behavior in thermal science (II)

The catastrophe mechanisms of thermal performance characteristics of the firebox gas combustion system were analyzed from the viewpoint of catastrophe theory. The mathematical models of cusp catastrophe were established. The relationship between the thermal performance characteristics and the changing of system control variables was studied. The cusp catastrophe mechanisms of typical performance characteristics, such as kicking and lagging, and those of transition from quenching to igniting were explained. It was illustrated that discontinuity behavior of thermal systems with an “S” motion feature curve and lagging feature may be equivalently classified according to the topology of cusp catastrophe, influenced by two groups of independent control variables.