非同分布φ混合序列加权和的强极限收敛性

利用φ混合序列矩不等式和截尾的处理方法,研究非同分布φ混合序列加权和强极限收敛性质的问题,得到了若干新结果,推广并改进了独立同分布情形下的相应结果.     

LehmerDH数在模p剩余系的分布

设 p≥ 3为素数 ,集合A ={a|1≤a 相似文献   

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.     

DNA和SDS介导钯卟啉室温磷光及磷光激发光谱分裂

利用室温磷光研究了钯卟啉 (Pd- TAPP)与 ct DNA及 SDS的相互作用特征。 SDS通过静电缔合及尾链保护增强 Pd- TAPP磷光强度 ;Pd- TAPP通过静电和疏水相互作用结合于 DNA的沟槽区 ,缔合常数为 4.37× 10 5L· m ol- 1 (bp)。平均一个钯卟啉分子与 4～ 5个核酸碱基对相互作用时 ,核酸表面的钯卟啉分子达到饱和 ;然后卟啉分子开始聚集组装 ,激子相互作用导致激发光谱分裂 ,聚集缔合常数为 0 .5× 10 5L· mol- 1 。     

几个数项级数求和的一般结论

通过一道求极限习题limx∞(1/ 2 + 3/ 2 2 +… + (2n - 1) / 2 n)的探讨 ,归纳总结出了几个数项级数求和的一般结论     

有限和式的积分放缩及应用

本文给出有限和式sum from k=1 to nf(k)的积分放缩的若干结论,并讨论其在求极限、证明不等式和无穷级数收敛性等问题中的应用。     

探索中总结经验创造中发展自我

文章论述教师在教学中帮助学生不断积累经验的重要性及必要性。     

关于细集料砂当量指标的探讨

通过加土的方法得到不同泥土含量的集料，进行砂当量试验，并用不同砂当量值的集料制成成心性稀浆封层混合料进行湿轮磨耗试验，试验结果表明，砂当量与集料中的泥土含量存在良好的线性关系，是评价细集料洁净程度的有效方法，试验中集料级配和取样均匀程度会对试验结果产生一定影响，砂当量低的集料会使改性剂无法发 对心性稀浆封层混合料的改性效果，建议用于心性稀浆封层的的细集料砂当量不低于60％。     

一类特殊的奇异级数

讨论了华林问题中一类特殊的奇异级数，在分析的范围内用代数数论的方法对它的下界作出一个估计，从而改进了Vaughan的结果。     

椭圆周上的一类新的双正交级数

研究了椭圆周上一类新的双正交级数，给出了它的部分和与其诱导函数的Ｆｏｕｒｉｅｒ三角级数的部分和之间偏差的精确的渐近表达式．