一类n项和数的表达式

用Ｃｈｅｂｙｓｈｅ多项式的零点为节点的Ｌａｇｒａｎｇｅ多项式逼近高阶多项式时，误差公式中出现一类ｎ面和数。现给出此类和表达式，并用归纳法证明之。     

多曲线回归方法及计算机应用

利用方程迭代法， 研究并开发了实测资料非线性多族对应关系的多曲线计算机回归分析程序； 对宁夏青铜峡灌区实测水量资料进行了回归计算， 所得成果与手工整编成果吻合很好， 为灌区水量资料整编工作全面电算化奠定了基础。     

Weibull曲线拟合模型在隧道监控数据处理中的应用

监控量测是隧道新奥法施工的三大要素之一,通过对监控数据的回归分析可以预测围岩的最终位移等,进而有效地指导隧道设计与施工。本文采用Weibull模型作为回归函数对隧道围岩变形实测数据进行了回归分析,并与其它几种常用回归函数进行了比较。结果表明:将Weibull模型作为回归函数,回归方程理论曲线与实测曲线的吻合度最高,误差范围更小,能够更加准确的反映隧道围岩变形量与时间之间的关系,这对于准确预测围岩变形量和确定二次衬砌的时间具有一定的参考价值。     

Prediction of Flexural Deformation of Reinforcement Concrete Beams with Polynomial Tension Stiffening Model

Based on an assumption of parabolic bond stress distribution,a simplified model with quartic polynomial function of the relative slip of steel bar and surrounding concrete for reinforced concrete (RC)tensile member was proposed. The post-cracking behavior as well as tension stiffening effect was considered in the new model. The relative slip of bending member could also be determined through the extension of the new model,which could be applied to obtaining the concentrated rotations at certain sections in order to predict the flexural deformation of RC beam. Several examples of four-point bending RC beams were approached to verify the new model,and the predictions of the flexural deflections of RC beams agreed well with experimental results. The new model can be extended to the application of partially corroded RC beam.     

Analysis of the global T_m–T_s correlation and establishment of the latitude-related linear model

In this study,the correlation between Tm,a key variable in GNSS water vapor inversion,and surface temperature(Ts)was calculated on a global scale based on the global geodetic observing system(GGOS)atmosphere Tmdata and European centre for medium-range weather forecasts(ECMWF)surface temperature data.The results show that their correlation is mainly affected by latitudes,and the correlation is stronger at high latitudes and weaker at low latitudes.Although the correlation is relatively weak in the tropic areas,the temperature changes so little in a year in these areas that we can still achieve good Tmresults by linear regression model.Based on these facts,‘‘GGOS atmosphere’’Tmdata and ECMWF Tsdata from 2005 to2011 were used to establish the global latitude-related linear regression model.The new model has root mean square error(RMSE)of 3.2,3.3,and 4.4 K,respectively,compared with respect to the‘‘GGOS atmosphere’’data,COSMIC data,and radiosonde data and is more accurate than the Bevis Tm–Tsrelationship.     

“过定点配直线”研讨

在巳有的有关过定点配直线问题的基础上，提出了与现有文献不同的观点，并进行了理论上论证与实例比较。     

B-值Dirichlet级数确定的整函数的(p,q)(R)级和(p,q)(R)型

利用Newton多边形研究了B-值Dirichlet级数确定的整函数的增长性,较方便地得到了B-值Dirichlet级数的(p,q)(R)级及型和下(p,q)(R)级与系数关系的若干结果.     

经营现金流与股价的相关性分析

研究经营现金流与股价的相关性问题．经实证分析对比，发现经营现金流和盈余与股价都有相关关系，但经营现金流的相关性要小于盈余的相关性．按每股经营现金流减去每股收益的值分组分年度来做回归分析，能够提高经营现金流和股价的相关性．     

影响学生自习时间因素的调查分析——以江苏技术师范学院为例

通过统计建模研究了影响江苏技术师范学院学生自习情况的因素。根据调查问卷得到相关数据,采用广义Logistic回归法,对问卷中涉及的学生自习情况影响因素进行筛选建模,分析了影响学生非周末自习时间的因素,并从主客观两方面提出了改进学生自习状态的措施。     

悬垂美感与织物结构特性的关系讨论

通过多元逐步回归，讨论了织物悬垂美感指标与织物结构特性指标间的内在联系，揭示了二者密切相关的特性．