齐次核的Hilbert型多重级数不等式取最佳常数因子的等价条件及应用

利用实分析技巧和权函数方法, 讨论具有齐次核的多重级数Hilbert型不等式, 得到了其取最佳常数因子的充分必要条件, 并给出其应用.     

宇宙临界减速因子

本文证明了如果中微子具有质量,那么膨胀宇宙的临界减速因子q_c就不是通常所说的1/2而是等于1。     

浅谈智能模糊控制恒压供水系统

文章介绍在变频恒压供水系统的基础上采用智能模糊控制等特性来完成恒压供水。     

如何写好统计分析

统计分析的广度、深度和力度决定于分析思路和表述思路,归结于写作思路。提高统计分析的广度、深度和力度,必须在写作思路的培养锻炼上下功夫,达到升华和提高。     

文化观转型与“象思维”之失

20世纪初以降，自从教育制度西化之后，在开启科学思维理性之窗时，却关闭了自己“象思维”的悟性之窗，致使中国学人陷入失去主体话语境地。后来几代学人，由于只有单一科学思维理性，以至于不能真正进入和领会中国传统经典。中西思维方式不同，源于语言不同。“象思维”作为前语言前逻辑的思维，是最具本原性和原刨性的思维。在“轴心时期”，西方在“象思维”基础上产生出理性的逻辑的概念思维，并逐渐构成西方文化主流的思维方式。而中国的“象思维”则经过儒、道、佛三家而推向高级形态，构成中国文化主流的思维方式。崇尚不同最高思想观念（非实体与实体）的中西思维方式，各有不同的功能和价值，但都非万能。两种思维方式相互不能取代，而只有经过会通，才能推进各自文化的创新与发展。     

奇异积分算子对p幂可积函数的逼近常数的上界估计

本文探讨由正偶核确定的奇异积分算子对连续函数的逼近常数与对p幂可积函数的逼近常数之间的关系,并由此得到Fejér算子、Jackson算子和Vallee-Poussin算子对p幂可积函数逼近常数的上界。     

三球式和转台式角动量守恒演示器的研制与应用

本文详细介绍了笔者研制的三球式和转台式两种新型角动量守恒演示器的结构、特点和使用方法。     

首达渗流中关于时间常数μ的上界估计

对2维首达渗流的时间常数μ给出了一个上界估计．     

谈英语阅读中捷效寻读教学及能力的培养

根据对一些学生的日常阅读情况的观察和阅读理论最新的研究成果 ,以及心理学的相关理论的分析 ,提出应该加强捷效寻读技能的教学 ,从理论和实践上提出了相应的方法。     

Exponential smoothing: Behavior of the ex-post sum of squares near 0 and 1

When using simple exponential smoothing on a given time series the nature of the relationship between the optimal smoothing constant and the autocorrelation structure of the series remains an unresolved question. Although numerical search routines can easily be used to find optimal values of the smoothing constant, they offer little insight into the nature of the relationship between the estimated smoothing constant and the structure of the underlying time series. We suggest that renewed investigations of the ex-post sum of squares function may prove helpful in this pursuit. Results are presented that illustrate how the optimal smoothing constant depends upon the value used to initialize the smoothing and upon the sample autocorrelation coefficients of the observed series. These results are based on a new formula for the derivative of the ex-post sum of squares function. In particular, the derivative is examined near 0 and 1, where great simplifications occur in its form, thereby facilitating investigations near these points. A necessary and sufficient condition is stated for when the ex-post sum of squares must have a positive derivative at 0 and the autocorrelation coefficients of the differenced series are shown to affect the sign of the derivative near 1. Based on these results, a general algorithm is presented as an alternative to grid search routines for minimizing the ex-post sum of squares.