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.     

Optical encryption with cascaded fractional wavelet transforms

INTRODUCTION Recently, with the development of science andtechnology, more and more people become interestedin researching image encryption techniques. Manymethods have been proposed for optical image en-cryption. Random phase encoding methods and digi-tal holography techniques are effectively used inencrypting (Javidi and Nomura, 2000; Unnikrishnanet al., 2000a; Hennelly and Sheridan, 2003; Nishchalet al., 2004). Meantime some important properties oflight are used to realize encryptio…     

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。     

一个逆Hlder不等式及其应用

本文推广了F.W.Gehring关于逆Hlder不等式的结果,并利用它证明了多重积分变分问题的最小元和Nash平衡点的L~p可积性。     

顶点可迁图为star extremal的一个充要条件

一个图当它的圆色数和分色数相等称之为star extremal. 本文首先给出一个图的圆色数等于顶点数除以独立数的充要条件. 然后利用这个结果给出了顶点可迁图是star extremal的一个充要条件. 并由此得到了几类新的star extremal图.