On the construction of optimal experimental designs: a penalty approach

Tn optimal experimental design theory there are well-known situations, in which additional constraints are implied to the design set. These constraints destroy in general the simplex structure of the set of feasible points of the design set. Thus the available iteration procedures for the unrestricted case are no longer applicable.

In this paper a penalty approach is suggested which transforms the restricted problem to the unrestricted case and allows the application of well-known algorithms such as the Fedorov-Wynn-type or the projected gradient procedure.     

关于三分Cantor集的结构的一些新结论

旨在采用代数的方法来研究三分Cantor集的结构特点。主要结果除了给出三分Cantor集的代数构造外还定义了仿四进位；结合代数构造、拓扑构造以及仿四进位分别给出并证明了三分Cantor集及其余集的结构公式，从而改进了已有的结论。     

Fat Monica,Fat Suits,and Friends

This paper examines narratives about fatness that are represented and reproduced by the character of “Fat Monica” played by Courteney Cox in a fat suit on the sitcom Friends. By drawing on David T. Mitchell's framework for analyzing “narrative prosthesis,” I examine how Fat Monica's narratives on Friends represent complex intersections of identities. I argue that fat suits often evoke fatness to support limited and clichéd narratives; however, fat suits may also enable new means of representing and understanding fatness. Through an analysis of the ways in which Fat Monica is represented in the episodes she appears in, three key uses of Fat Monica's fatness are discussed. Firstly, I examine the comic uses of Fat Monica and their relationship between fatness and humour. Next, I examine how Fat Monica storylines represent interlocking narratives of fatness, femininity, and sexual desire. Lastly, I consider how Fat Monica represents the construction of the normative body and claims about fatness and authenticity. Ultimately, Fat Monica illustrates how fatness relates to understandings of humour, gender, social class, and heterosexuality.     

关于留数定理的一个推广

研究了留数定理的有关问题,通过举例论证和归纳推理等证明方法,得到了单个留数定理的一个推广结论,最后将此结论应用于一些积分问题中.     

写作表述的三级范式

写作表述在文句、层次和篇章等三个层级上都有一定的范式。表述范式在不同基本文体的层次范式之间、篇章范式之间,以及篇章范式和层次范式之间,虽然各有不同,但也有共同之处。这些表述范式分别都是其同类相仿的写作表述模式构造,能为写作者实施写作表述提供可以借鉴的基本经验。     

从"Representation"看人类学"表述危机"

本文通过对于人类学中的一个重要概念“representation”的梳理,探讨了其在人类学不同阶段理论背景下的不同内涵以及在人类学本体论、认识论、方法论方面的意义,透过“representation”反映出人类学理论从现代主义到后现代主义的发展过程中,尤其是后现代主义思潮下人类学“表述危机”的理论论争的根源和问题的实质。     

纳西族空间观念之色彩表象

空间是抽象的 ,只有对它们进行具体的表象 ,才能将抽象还原成具体。无论在纳西族民俗中 ,还是在其他民族的民俗中 ,色彩常常成为对空间方位进行表象的具体手段之一。由色彩所表象的空间不仅决定着民俗活动的性质 ,也规范着民俗活动的形式与内容。本文从前空间、原空间等方面对纳西族民俗中空间的色彩表象作了介绍和分析     

On asymptotic distribution of prediction in functional linear regression

There has been substantial recent attention on problems involving a functional linear regression model with scalar response. Among them, there have been few works dealing with asymptotic distribution of prediction in functional linear regression models. In recent literature, the centeral limit theorem for prediction has been discussed, but the proof and conditions under which the random bias terms for a fixed predictor converge to zero have been ignored so that the impact of these terms on the convergence of the prediction has not been well understood. Clarifying the proof and conditions under which the bias terms converge to zero, we show that the asymptotic distribution of the prediction is normal. Furthermore, we have derived those results related to other terms that already obtained by others, under milder conditions. Finally, we conduct a simulation study to investigate performance of the asymptotic distribution under various parameter settings.