KosnioWski-Stong公式的一个简单证明

Kosniowski-Stong公式是近年来带对合协边领域的一个较重要的结果，它来源于Atiyah与Singer在指标定理方面的工作。此公式现有2种证明方法，其中属于带对合协边理论的是一种验算性质的证明。现利用带对合协边理论基本定理直接导出了此公式，由此可看出这2个重要结果是紧密相连的。     

背越式跳高教学中应用多媒体技术的实践与探讨

在背越式跳高教学中实行多媒体组合教学 ,改进传统单一的教学方式 ,加深了学生对技术本质特征的理解 ,经教学实验对比 ,教学效果明显提高 .并具体分析探讨了开展多媒体教学的优越性和重要性     

带参模糊关系合成

该文对广义λ-并算子的性质作了进一步的研究,利用该算子对通常的模糊关系合成进行了推广,提出一种带参的模糊关系合成,并给出了它的若干性质。     

健康的个性与数学教育的相互作用

本文探讨了健康的个性对数学教育的积极作用,同时又论述了数学教育对培养学生健康的个性的重要意义.     

处理钻井事故的专家系统

介绍了所研制的处理钻井事故的专家系统,经过井场事故实例检验表明,正确识别率与正确处理率较高。在现场使用一段时间之后,又进行了修改与完善,增加实时监测功能后,它将成为处理现场事故的有力工具。     

杂交稻亲本始穗期与栽培条件关系的研究

本文研究了杂交稻制种中,营养生长阶段的栽培条件与亲本始穗期的关系,适宜的营养面积和空间与植株个体和群体生长势,花粉密度呈正相关。利用栽培技术来调节花期和花粉密度,对提高制种产量有重要作用。     

西裤后裆缝斜度定量分析

本文结合人体体型,从适身型角度,利用数学方法分析探求后裆缝斜度的确定问题。     

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.     

线性驱动下一级相变的重正化群理论

把重正化群理论应用于一受外场驱动而发生一级相变的系统中，结果表明，与有序化过程一样，该系统也由零温不动点所决定，并得到磁化强度及结构函数的新的动力学标度关系．由此可获得滞后回约面积与变场速率的标度关系．     

Orlicz空间内单边K─泛函与平均模的等价性

本文在Ｏｒｌｉｃｚ空间内对周期函数建立了单边Ｋ─泛函与平均模的等价问题，对多元的情形也可以类似地得到．