一个新的积分不等式及其应用

从离散型W．H．Young不等式出发，以归纳类比和分类讨论思想为基础，得到了一个新的积分不等式，并运用构造性方法给出了一种十分简洁的证明，又进一步讨论了新的积分不等式与P．Schweitzer反向积分不等式的关系，同时指出了由新的积分不等式能够得到Hoelder积分不等式、Minkowski积分不等式及Buniakowski—Schwarz积分不等式等，凸显其内在规律性和应用的广泛性。     

一元二次不等式的新解法

传统的一元二次不等式解法步骤多，用时长，已不能适应现代教学需要．采用新的解题方法，可以达到快速、准确，起到事半功倍的效果。     

When marketisation and privatisation clash with socialist ideals: Educational inequality in Urban China

In the last two decades, China's education has experienced significant transformations and restructuring on account of privatization and marketization. Unlike the Mao era when the state assumed the major responsibilities in financing and providing education, individuals and families have now to bear increasing financial burdens in paying for education. The marketization and privatization of education has undoubtedly intensified educational inequalities and widened regional disparities between the economically developed areas in the eastern coast and the less economically developed areas in the middle and north-western parts of the country. The growing inequalities in education and the increasing financial burdens presented by education have been a source of social discontentment, which have in turn prompted the central government to revisit its approaches to educational development. This article sets out to examine, how in this wider policy context, China's education has been transformed following the adoption of more pro-competition and market-oriented reform measures. This article is based on intensive secondary data analysis, fieldwork observations, and findings from a household survey conducted in eight different Chinese cities about people's perceived education hardship. The article concludes by considering how the Chinese government has attempted to address the problems of educational inequalities that have intensified on account of two decades of education marketization.     

一种改进的Richardson-Lucy正则化图像复原算法

运动模糊图像复原是模糊图像复原领域中的重要课题。首先,利用一种新的正则化方法有效估计了非参数运动模糊核。然后,在贝叶斯框架下,基于图像像素空间和梯度空间的统计特性,结合自然图像的梯度约束,提出了图像复原的改进RL正则化算法,有效抑制了复原图像中存在的振铃效应。实验结果表明,RL正则化算法在模糊核的估计存在误差时,依然能够得到较好的图像复原效果。     

几个不等式的推广及其成立等式的条件

推广了Cauchy不等式,Holder不等式和Minkowski不等式,给出了推广不等式成立等式的充要条件,并应用平均值不等式证明了所得结果.     

A Closer Look at a Relatively Neglected Mean

The self‐weighted mean (WS) – in which each value is weighted by itself – is presented in several contexts and illustrated. It is incorporated in a set of more familiar means. Intuitions concerning WS are explored.     

试论写作技巧中的无技巧

无技巧是写作时表现出来的似无实有的最高技能。它具有超越性、自然性、永恒性等特征。混化内容和形式的裂痕，使二者完美结合；有意识的积极参与，尤其是无意识强大的推动力；勤写多练：是无技巧形成的基本原因。它的艺术价值在于，重视艺术的独立性，重视受体的再创造功能，突破时空，永远流传。     

Probability with Roulette

This article describes how roulette can be used to teach basic concepts of probability. Various bets are used to illustrate the computation of expected value. A betting system shows variations in patterns that often appear in random events.     

一个与Fermat问题相关的最佳线性不等式

运用三角形的Fermat问题的结论与两个条件不等式,利用导数,证明了涉及平面上任一点到三角形三顶点距离之和的一个最佳线性不等式,提出了一个相关的问题.     

Subscores Based on Classical Test Theory: To Report or Not to Report

There is an increasing interest in reporting subscores, both at examinee level and at aggregate levels. However, it is important to ensure reasonable subscore performance in terms of high reliability and validity to minimize incorrect instructional and remediation decisions. This article employs a statistical measure based on classical test theory that is conceptually similar to the test reliability measure and can be used to determine when subscores have any added value over total scores. The usefulness of subscores is examined both at the level of the examinees and at the level of the institutions that the examinees belong to. The suggested approach is applied to two data sets from a basic skills test. The results provide little support in favor of reporting subscores for either examinees or institutions for the tests studied here.