谈超越不等式的应用

一般地,用微分学的方法可以证明许多超越不等式,这些超越不等式在数学中有许多重要的应用。应用它们来证明一些初等不等式,更显示出导数之重要性。     

一个不等式的加强、推广及应用

对一道数学竞赛题的推广和对数学对偶性等问题的再论证,得到一个解决不等式问题的新方法。应用这一方法,不但给出了一些数学竞赛题求解的新方法,而且还对这些问题进行推广和论证。通过对这些不等式问题的求解和推广,展示了一个发现数学问题的思想方法———合情推理。应用这一方法,指出了一个数学竞赛问题的推广的错误,给出一个正确的结论并论证。     

农村教育不公平的教育生态学分析

我国农村教育改革一直有一个共同的取向,那就是实现教育公平:机会公平与质量公平。但现实情况是农村教育与城市教育的差距越拉越大,改革似乎没有取得良好的成果。之所以农村教育不公平现象加重,原因在于没有从理论上把握到农村教育不公平的真正原因。而教育生态环境之间的巨大差距是城乡教育不公平的原因,改革应当从实现城乡教育环境的均等入手,或者实现国家教育城镇化,或者重建农村公共生活。     

Revisiting free school meal eligibility as a proxy for pupil socio‐economic deprivation

Whether someone has ever had free school meal (FSM) eligibility over a six‐year period is the measure of socio‐economic disadvantage currently used in the English school system. It is used to monitor the socio‐economic gap in achievement in the education system, to identify particular children at risk of low achievement and to direct funding to particular children and schools. In this paper we assess how well this measure predicts pupil attainment in secondary school in comparison to other measures of socio‐economic background known to influence pupil attainment, such as parental education or income. We ask whether the FSM measure is an adequate proxy for a pupil's socio‐economic disadvantage in an educational context. To do this we draw on the Longitudinal Study of Young People in England and matched administrative data. We find that the FSM eligibility measure correlates highly with other measures of socio‐economic disadvantage, however it does not identify all children living in what would be deemed deprived households. We then compare the extent to which the FSM eligibility measure predicts educational achievement relative to other measures of deprivation and find that its predictive power is only marginally lower than many richer survey measures. This provides some reassurance on its use in policy.     

一个推广不等式的再推广

利用凸函数及导数理论建立了一个不等式,并利用所建立的不等式得到推广不等式关于根指数的进一步推广.     

A different type of charter school: in prestige charters,a rise in cachet equals a decline in access

This paper seeks to elucidate a specific type of charter school. While much has been written about school choice and the expanding charter school segment, a growing and important number of charter schools do not fit in to the common understanding of these schools. Distinct from many of their counterparts, prestige charter schools have the following two features: elements which foster a reputation similar to that of elite private schools and a student population demographically distinct from local public district schools – whereby the prestige charters serve a disproportionate number of advantaged families. The prestige elements include: founding by advantaged community members; parental involvement; wait lists; popularity with advantaged professionals; high test scores; and niche themes. The authors will show through two in-depth case studies that prestige charter schools work hand-in-hand with gentrification in urban neighborhoods, and result in racial and class segregation and inequality. This paper examines how these charter schools struggle when a rise in prestige coincides with a decline in access for low-income students. The authors recommend that given the current system of school choice, prestige charter schools must use tools and mechanisms to maintain demographic diversity and educational equity which is in the best interest of all children.     

多项式分拆初探

给出了不同对称类型多项式分拆基的统一构造方法,以逐步待定系数法为基础,编制了多项式统一分拆程序.     

微分形式的 Aλr3 (λ1,λ2 ;Ω)-加权的Poincaré型不等式

利用H(o)lder不等式得到了微分形式的局部 Ar (λ1,λ2 ;Ω)-加权Poincaré型不等式,所得结果能被广泛应用于某些重要方程解的高阶可积性理论.     

一类非线性连续奇异系统降维观测器的设计

讨论了一类非线性时间连续奇异系统观测器的设计问题,通过线性矩阵不等式,给出了一种易于计算的降维观测器的设计方法;仿真数值例子表明了所给设计方法的有效性。     

The Experiences of Low-Income Latina/o Families in an Urban Voucher,Parochial School

Catholic schools have become a popular choice for many low income families Latino/a families. Families enrollment in these schools are often faced with the mandate to participate. However, regardless of the mandate, some schools often experience low parental participation. The purpose of this study is to document the experiences of low income, Latino/a families around parental involvement in hopes of understanding the reasoning for participating (or not) in their child’s school. The researchers conclude that families do not participate for a number of reasons including lack of opportunities, and an unwelcoming environment. The implications for Latina/o urban education are discussed.