对数凸函数几何平均型Hadamard不等式的一点注记

针对对数凸函数的几何平均型Hadamard不等式,研究了其等号成立的条件问题。通过应用对数凸函数的定义和定积分计算,依据定积分的一个性质,得到了对数凸函数的几何平均型Hadamard不等式等号成立的充要条件。     

基于特征方程的递推型数列通项的求解

本文讨论了整式一阶递推数列、整式二阶递推数列和分式型递推数列的通项求解问题,利用了特征方程求解法解决了递推数列的通项求解问题。     

The dream deferred: Why multicultural education fails to close the achievement gap. A cultural historical analysis

Abstract

The authors critically examine multicultural education and its failure to address the stark differences that characterize student achievement in North America in terms of a praxis that would bring equity in learning or other developmental outcomes. Arguing that dismantling proportional group based inequality depends on the systematic reform of structures and policies currently perpetuating the correlation between children's ethnocultural and economic history and their school achievement, we draw from a cultural historical theoretical framework to outline how the multiple and complex factors influencing underachievement might be better understood and, moreover, effectively counteracted in ways that begin to reverse the rates of school failure for U.S. ethnic minority students, in particular U.S. English learners.     

Widening participation,the instrumentalization of knowledge and the reproduction of inequality

According to Michel Foucault, modernity is predicated on the emergence of an instrumental idea of knowledge, which does not affect the constitution of the individual as a subject. This article aims to explore this thesis in the context of British Higher Education through a problematization of widening participation policies, and how they have been increasingly constructed in economic-instrumental terms. This approach suggests two main considerations within the framework of Foucault's argument. First, widening participation initiatives have contributed to reinforce an idea of knowledge as an instrumental set of notions external to the subject rather than a process of transformation of the self. Second, widening participation initiatives have been dominated by a neoliberal approach to the problem of inequality which has turned students into seemingly equal consumers of knowledge. However, it will be argued, this approach contributes to reproduce in different ways the inequality gap between students of different socioeconomic backgrounds.     

变分不等式的应用

本文涉及了变分不等式以及各项应用,给出了其一些性质的讨论,还有用变分法解决一些最小值问题的思想,比如火箭最优控制问题。     

一类广义的Hilbert型奇异积分算子的范数

在区间(0,b)上,定义了一个广义的带参数的核为1max{xλ,yλ}的Hilbert型奇异积分算子T,研究了它的有界性问题并求出其范数.作为应用,还考虑其涉及内积的等价形式.     

微积分在证明不等式中的应用

不等式的证明是高等数学的一个难点.归纳了利用微积分证明不等式的五种方法：微分中值定理、函数单调性、函数最值、函数凹凸性和定积分.     

Quantitative evaluation of alternative field normalization procedures

Wide differences in publication and citation practices make impossible the direct comparison of raw citation counts across scientific disciplines. Recent research has studied new and traditional normalization procedures aimed at suppressing as much as possible these disproportions in citation numbers among scientific domains. Using the recently introduced IDCP (Inequality due to Differences in Citation Practices) method, this paper rigorously tests the performance of six cited-side normalization procedures based on the Thomson Reuters classification system consisting of 172 sub-fields. We use six yearly datasets from 1980 to 2004, with widely varying citation windows from the publication year to May 2011. The main findings are the following three. Firstly, as observed in previous research, within each year the shapes of sub-field citation distributions are strikingly similar. This paves the way for several normalization procedures to perform reasonably well in reducing the effect on citation inequality of differences in citation practices. Secondly, independently of the year of publication and the length of the citation window, the effect of such differences represents about 13% of total citation inequality. Thirdly, a recently introduced two-parameter normalization scheme outperforms the other normalization procedures over the entire period, reducing citation disproportions to a level very close to the minimum achievable given the data and the classification system. However, the traditional procedure of using sub-field mean citations as normalization factors yields also good results.     

一类分数阶微分方程的振动性定理

利用广义Riccati变换和不等式技巧,给出了一类分数阶微分方程解的振动性的两个准则．     

推广的三角函数与双曲函数的新型Wilker不等式

主要研究了Wilker不等式的一种新形式,通过初等解析方法与不等式理论给出了推广的三角函数与推广的双曲函数的新型Wilker不等式的新结果．