Nyquist采样频率下的频谱失真与采样定理

本文通过在Nyquist采样率下对信号的频谱是否发生失真，发生了怎样的失真的讨论，分析了在进行离散傅立叶变换（DFT）时，采样定理在其边界条件下进行信号处理时存在的问题。展示了在该条件下频谱发生严重失真的形式和程度，最后从无失真地恢复时域信号x(t）的角度讨论了DFT意义下采样定理的表述。     

On the asymptotic normality of the L1- and L2-errors in histogram density estimation

The L₁ and L₂-errors of the histogram estimate of a density f from a sample X₁,X₂,…,Xn using a cubic partition are shown to be asymptotically normal without any unnecessary conditions imposed on the density f. The asymptotic variances are shown to depend on f only through the corresponding norm of f. From this follows the asymptotic null distribution of a goodness-of-fit test based on the total variation distance, introduced by Györfi and van der Meulen (1991). This note uses the idea of partial inversion for obtaining characteristic functions of conditional distributions, which goes back at least to Bartlett (1938).     

德曼的“新社会主义哲学”和他的“新发现”

亨利·德曼的“新社会主义哲学”建立在对马克思主义的批判基础上，并与资产阶级哲学实行联姻，德曼在马克思《１８４４年经济学哲学手搞》中的“新发现”表明的不过是对马克思主义的严重曲解，这一哲学不仅在理论上没有给社会主义运动贡献新东西，而且在实践上蜕变成了与法西斯合流的反动力量．     

New imperfect rankings models for ranked set sampling

Ranked set sampling is a sampling approach that leads to improved statistical inference in situations where the units to be sampled can be ranked relative to each other prior to formal measurement. This ranking may be done either by subjective judgment or according to an auxiliary variable, and it need not be completely accurate. In fact, results in the literature have shown that no matter how poor the quality of the ranking, procedures based on ranked set sampling tend to be at least as efficient as procedures based on simple random sampling. However, efforts to quantify the gains in efficiency for ranked set sampling procedures have been hampered by a shortage of available models for imperfect rankings. In this paper, we introduce a new class of models for imperfect rankings, and we provide a rigorous proof that essentially any reasonable model for imperfect rankings is a limit of models in this class. We then describe a specific, easily applied method for selecting an appropriate imperfect rankings model from the class.     

Attracting Micro‐Enterprises To Learning

Micro‐enterprises, i.e. firms with less than 10 employees, are traditionally the hardest to engage in learning; they are also least likely to participate in such measures as business advice and guidance provision and initiatives to support information communication technology (ICT) adoption. Through a community‐based initiative initially targeting parents (unemployed or employed) to participate in ICT, 30 micro‐enterprises were attracted to learning for the first time. These companies had carefully avoided similar initiatives taking place locally, which emphasized business success and growth; they had only participated in this ICT skills training because of their children. The paper takes a case study approach to evaluate the reasons for participation, explores barriers and implications for those organizing similar activities, and calls for a more holistic view of owners and managers of small firms as fathers, mothers, etc. rather than just as ‘entrepreneurs’.     

莫泊桑短篇小说中的第一人称叙述

莫泊桑的短篇小说堪称一绝,在叙事上独具特色。与其他现实主义作家不同,莫泊桑喜欢采用第一人称叙述,他笔下的叙述者"我"并非都是全知全能,大部分叙述者权利有限。更为独特的是,他在这类作品中首创的叙述分层的手法,使得人物成一种对话关系。他对叙述者权利的限制使得作品意义留有空白。叙述语调的中立要求读者积极参与作品意义的建构,这极大增强了短篇小说的可读性,也使他的作品带有现代主义的气息。     

《巴黎圣母院》的性虐色彩——透视一种文化现象

性虐活动是欧洲古往今来特有的文化现象,本文认为,这种现象在雨果的《巴黎圣母院》中时有隐现,小说中加西莫多受鞭刑和克罗德观看对爱斯梅哈尔达的拷问并自虐致伤等情节隐含着性虐色彩,这和渗透在欧洲绘画雕塑中的性虐艺术趣味相似,透现出一种苦乐相生、痛快相承的残酷痛苦之美。     

一类多项式零点问题的证明

多项式零点问题的证明,已见于若干学报或教材．其方法可谓多种多样,但显复杂．本文先将Rolle定理加以推广,称之为“广义Rolle定理”,然后借助于该定理,证明一类著名的多项式零点值问题．     

二维变系数线性微分系统的求解定理

给出二维变系数线性微分系统在已知某解的情形下求通解的公式,并直接应用此公式,导出几类二维变系数线性微分系统的通解公式.对理论和实际应用都是有益的.     

关于“高斯定理”的疑问

本文旨在澄清有关电磁学中“高斯定理”的诸多疑问,并指出它与高等数学中的“高斯定理”的区别。