孔子的教育公平思想及其现代启示

教育公平问题是当今社会的热点问题。它要求政府、社会、教育者秉承公正的原则，对教育资源均衡配置，对受教育者平等对待。早在2500多年前，孔子就提出“有教无类”等教育主张，体现了他的教育公平思想。而这些主张在今天看来就意味着教育起点、教育过程、教育结果的公平。     

一道IMO试题的推广及应用

给出了一道第36届IMO不等式赛题的推广,并应用推广结论解证了一组不等式。     

Structural Equation Modeling With Unknown Population Distributions: Ridge Generalized Least Squares

This article proposes 2 classes of ridge generalized least squares (GLS) procedures for structural equation modeling (SEM) with unknown population distributions. The weight matrix for the first class of ridge GLS is obtained by combining the sample fourth-order moment matrix with the identity matrix. The weight matrix for the second class is obtained by combining the sample fourth-order moment matrix with its diagonal matrix. Empirical results indicate that, with data from an unknown population distribution, parameter estimates by ridge GLS can be much more accurate than those by either GLS or normal-distribution-based maximum likelihood; and standard errors of the parameter estimates also become more accurate in predicting the empirical ones. Rescaled and adjusted statistics are proposed for overall model evaluation, and they also perform much better than the default statistic following from the GLS method. The use of the ridge GLS procedures is illustrated with a real data set.     

含有上下导数的广义Cauchy中值定理及其逆定理

证明了含右上、右下、左上、左下导数的广义Cauchy中值定理及其逆定理。     

“Did I mean what I said?” — A reply to McCormick

In this note, I argue that the distinction between what one says and what one means by it is no more problematic (and no less) than the equally important distinction between evidence and theory. Both, I suggest, take a particular form in literate discourse.     

关于几种无穷数列极限的讨论

对几种重要且常用的数列极限存在性加以讨论，虽未给出具体极限的求法，但对于《极限存在定理》仍然是典型的。     

浅谈中国古代传统文化对当今社会的影响

古代传统化的基本思想，诸如直面正道、贵和中庸、天人合一、民为邦本、重情轻理、平均主义对我们今天建设社会主义市场经济，协调人际关系，化解矛盾冲突，凝聚民众力量，注重自然环境，尊重生命有着积极的意义，但是也诸多消极影响，关键是如何看待传统化，如何从中汲取、升华出前进的力量。     

评价学生成绩的一种方法

将模糊控制理论的加权平均决策法,应用到学生成绩综合评定中,得出每一个学生的决策量,决策量更科学合理地反映出学生的学习成绩。     

再论积分第二中值定理中值的渐近性

继文[1],对积分第二中值定理的中值的渐近性建立了一些新的结果,给出了中值的渐近值的范围,建立了收敛速度的一个估计.     

正则化方法在非光滑分析中的应用

用正则化方法,借助于数学分析中的凸性判定定理及微分中值定理,证明了非光滑分析中的凸性判定定理及广义微分中值定理