一类蜕化椭圆方程解的唯一连续性

本文考虑蜕化椭圆方程，其中ａ，ｂ为常数，ｆ（ρ）单调、非负连续并且满足Ｄｉｎｉ条件．证明了解具有强唯一连续性     

一般区间上连续函数的性质

利用已知的闭区间上连续函数的性质,推出了一般区间上连续函数的性质.     

论老子、庄子、禅宗的哲学思辨逻辑

老子、庄子、禅宗哲学思辨的逻辑都具有两极对转、相反相成、圆融无极、流转不居的特性。从运思形式和思辨逻辑的角度看,禅宗哲学与老子哲学是一脉相承、性质同一的。但在主客体关系上,二者运思的方向却是相反的:老子是从绝对的客体世界出发,转入绝对的主体世界,最终达于主客两极圆融的境界;禅宗是从绝对的主体世界出发,转入绝对的客体世界,最终达于(自他不二)主客两极圆融的境界。庄子哲学可以看作是介于老子的绝对客观主义与禅宗的绝对主观主义的一个中间环节,也可以将庄子哲学看作老子的绝对客观主义向禅宗的绝对主观主义发展的一个中间阶段。     

从自然王国走向艺术王国——读杜威美学

本文试图解读杜威美学思想的几个基本概念。第一是“活的生物”,说明这个概念与他的一元论哲学之间的关系;第二是杜威美学寻求连续性的特点,其中包括恢复艺术与非艺术的连续性,高雅艺术与通俗艺术的连续性,以及美的艺术与实用的或技术的艺术之间的连续性;第三是杜威的“经验”概念和“一个经验”的观点;第四是杜威的“表现”论;最后,归结到杜威关于艺术与生活关系的论述上来,说明日常生活审美化不是艺术的消亡,而是世界的艺术化。     

论相对的"绝对"--从康德的"本体"谈起

康德坚持“本体”不可知，作为主体的人只能谦虚而现实地去求知以不断扩充“现象界”；“本体”永远是一种“理想”的召唤；“本体”既不是绝对的绝对，也不是绝对的相对，而是相对的绝对；一切真知都是有条件的、相对的；所谓“绝对”的东西，其实都是相对的“绝对”。     

On the Distance Between Cumulative Sum Diagram and Its Greatest Convex Minorant for Unequally Spaced Design Points

Abstract.  The supremum difference between the cumulative sum diagram, and its greatest convex minorant (GCM), in case of non-parametric isotonic regression is considered. When the regression function is strictly increasing, and the design points are unequally spaced, but approximate a positive density in even a slow rate ( n ^−1/3), then the difference is shown to shrink in a very rapid (close to n ^−2/3) rate. The result is analogous to the corresponding result in case of a monotone density estimation established by Kiefer and Wolfowitz, but uses entirely different representation. The limit distribution of the GCM as a process on the unit interval is obtained when the design variables are i.i.d. with a positive density. Finally, a pointwise asymptotic normality result is proved for the smooth monotone estimator, obtained by the convolution of a kernel with the classical monotone estimator.     

Rate of strong uniform convergence of k-NN density estimates

Let f_n(x) be the univariate k-nearest neighbor (k-NN) density estimate proposed by Loftsgaarden and Quesenberry (1965). By using similar techniques as in Bahadur's representation of sample quantiles (1966), and by the recent results on the oscillation of empirical processes by Stute (1982), we derive the rate of strong uniform convergence of f_n(x) on some suitably chosen interval J_δ. Some comparison with the kernel estimates is given, as well as the choice of the bandwidth sequence relative to the sample size.     

数学分析中"一致收敛"概念的推广及其应用

将数学分析中一致收敛性的概念加以推广，分别对函数项级数和含参量积分引入次一致收敛的概念，证明了函数项级数、含参量非正常积分连续性的充要条件和可微性的充分条件，推广了数学分析中的相应结论．     

Collective violence as social control

Collective violence is often social control: self-help by a group. It typically defines and responds to conduct as deviant. When unilateral and nongovernmental, it appears in four major forms—lynching, rioting, vigilantism, and terrorism—each distinguished by its system of liability (individual or collective) and degree of organization (higher or lower). Following Donald Black's paradigm of pure sociology, the central assumption is that collective violence varies with its location and direction in social space—the conflict structure. I offer ten propositions that predict and explain the likelihood and severity of collective violence in general and the four forms of collective violence in particular. Conflict structures with a high degree of relational distance, cultural distance, functional independence, and inequality between the adversaries are associated with collective violence in general. Each of the four forms depends on the degree of social polarization between the parties as well as the continuity of the deviant behavior to which the violence responds. Earlier versions of this paper were presented at the Annual Meeting of the American Sociological Association, Pittsburgh, Pennsylvania, August 1992, and the Centennial Congress of the International Institute of Sociology, University of Paris (Sorbonne), Paris, June 1993.     

"黑暗时代"的曙光——古希腊"黑暗时代"的延续性与变革

长期以来,西方史学界认为,迈锡尼文明衰落后的四个世纪中,希腊一直处于"贫穷"、"无知"的状态中.但是,新近的研究表明"黑暗时代"不仅存在着与迈锡尼文明的联系,而且是古希腊历史上发生重大变革的时期.在这个时期,希腊的生产技术、经济结构、政治制度、艺术风格、宗教习俗以及社会模式都发生了深刻的变化,这些社会变革为希腊城邦文明奠定了基础.