对贝尔不等式的误解

贝尔对自己的工作有两点误解:第一,贝尔用以导出贝尔不等式的隐变量理论具有一个极为特殊的性质:它原封不动地保留了全部经典概率论的运算规则,贝尔却把这种理论当成一般的"定域隐变量理论";第二,当贝尔从他的隐变量理论导出贝尔不等式时应用了两个命题,他把其中之一理解为"定域隐变量理论"的特征,而实际上导出贝尔不等式的却是另一命题.在此试图说明,没有定域隐变量理论也能导出贝尔不等式.此外,还考察了吉.洛查克对贝尔定理的异议.     

涉及单形的中线长的两个几何不等式

本文给出涉及n维单形的中线长度的两个几何不等式,证明了苏化明所提的一个猜想(数学季刊4(1)(1989))是正确的,最后,还提出了一个猜想。     

Social support and digital inequality: Does Internet use magnify or mitigate traditional inequities in support availability?

This study tested competing predictions about the implications of Internet use for traditional inequities in social support availability. Using survey data collected as part of the Pew Internet and American Life Project, inequities in social support availability stemming from demographic and network-related factors were examined among non-users, Internet users, and Internet users who also participated in a social network site (SNS). The results offered evidence consistent with the social compensation perspective. Traditional inequities in support availability related to age, race, and total network size persisted among respondents who did not use the Internet, but were less evident or absent among Internet users and/or Internet users who participated in an SNS. Using the Internet to connect with others appeared to be an important mechanism through which inequality in support availability was mitigated.     

一个无理不等式猜想的证明

本文利用微积分对n(√an-xn)≥a-xt的猜想给出了证明,并对相关问题进行了讨论.     

Suboptimal reliable guaranteed cost control for continuous-time systems with multi-criterion constraints

The suboptimal reliable guaranteed cost control （RGCC） with multi-criterion constraints is investigated for a class of uncertain continuous-time systems with sensor faults. A fauk model in sensors, which considers outage or partial degradation of sensors, is adopted. The influence of the disturbance on the quadratic stability of the closed-loop systems is analyzed. The reliable state-feedback controller is developed by a linear matrix inequalities （LMIs） approach, to minimize the upper bound of a quadratic cost fimction under the conditions that all the closed-loop poles be placed in a specified disk, and that the prescribed level of H∞ disturbance attenuation and the upper bound constraints of control inputs＇ magnitudes be guaranteed. Thus, with the above muki-criterion constraints, the resulting closed-loop system can provide satisfactory stability, transient property, a disturbance rejection level and minimized quadratic cost performance despite possible sensor faults.     

中国城市人均GDP差异影响因素的分析

在阐明当前我国城市人均GDP水平差异现状的基础上，通过多元回归分析，揭示造成这种差异的原因。结论是目前我国城市人均GDP水平差异很大，资本投入是影响城市人均GDP的决定性因素，其次是城市的产业结构。外资只对东部和大中城市有明显影响。人口规模与城市人均GDP之间关系不大，在大城市组甚至呈负相关。分析表明转变我国粗放的经济增长方式已经非常迫切，片面“做大”城市规模对提高城市的经济发展水平于事无补。     

教育结果公平的内涵及其衍生规定

作为实质公平的教育结果公平指的是每个受教育者获得为培养目标所规定的健康、全面发展和这种健康、全面发展的每个侧面都获得与其潜能相应的一定程度的发展;但从人们对教育结果公平的主观体认的角度来看,作为教育结果公平是一种公正的不等同;教育结果公平目标不仅是跨时段的,而且是跨学段的。教育结果公平取决于政府在分配教育资源时的差别化对待和学校教育者对受教育者的无差别对待;教育结果公平是"教育质量"题中应有之义,是衡量教育质量的标准。     

两个优美不等式的推广

利用平均值不等式,得到高次齐次函数的若干条件不等式,推广了低次齐次函数的相关结果．     

Disciplinary regimes of ‘care’ and complementary alternative education

In schools, the notion of ‘care is often synonymous with welfare and disciplinary regimes. Drawing on Foucault, and a study of alternative education (AE) across the UK, and looking in depth at two cases of complementary AE, we identify three types of disciplinary regimes at work in schools: (1) dominant performative reward and punishment, (2) team-building and (3) therapeutic. We argue that while all three regimes aim to steer identified students back to the norm, the two complementary approaches that we saw avoided the narrow instrumental behaviourist approaches of the dominant pattern. In so doing, they also opened up wider horizons of possibility and ways to be and become.     

对数和不等式在信息论中的应用

利用对数和不等式证明信息论中的几个重要结论,并给予推广．