复射线ABCD定律及初步应用

根据复变函数解析开拓原理提出了复射线的ＡＢＣＤ定律，并用它说明了高斯光束复参数的ＡＢＣＤ定律与几何先学ＡＢＣＤ定律的内在联系。     

Making Sense of Organizations in Public Management: A Back-to-Basics Approach

This article addresses some basic facts and ideas about organizations as a way of concluding the symposium. It identifies different types of organizations in terms of their legal-structural characteristics, and considers aspects of their legal power, ownership, financing, staffing, and outsourcing. It ends with some suggestions for further related research on organizations.     

动态车辆路径问题排队模型分析

分析了一类动态车辆路径问题,其中顾客需求以泊松流形式出现,现场服务时间服从一般分布.提出解决该问题的两种策略:顺序服务策略和中点改进策略,利用排队论、几何概率论等领域的知识分别求出了这两种策略的系统时间,并通过仿真数据实验验证了这两种策略的有效性.     

‘In England,they don’t call you black!’ Migrating racialisations and the production of Roma difference across Europe

This article draws on long-term fieldwork among Slovak Roma migrants, identifying processes through which a haunting figure of the Roma migrant emerges across Europe, to argue for more differentiated accounts of continuing and emerging forms of racialisation. It explores how the movement of Roma (whose bodies are marked by their racialised ‘darkness’ in Slovakia) to Britain granted them a temporary escape from this modality of branding while simultaneously exposing them to different categorisations within a re-configuring classificatory matrix. The article develops the concept of ‘migrating racialisation’ in order to empirically trace how historically developed forms of racialisation in Slovakia migrate across Europe through the movement of Roma and non-Roma migrants from Eastern Europe, as well as through particular forms of knowledge circulating within transnational fields constituted not only by Roma migrants themselves but also by various institutions for ‘managing’ or ‘researching’ ‘the Roma’. This concept allows us to analyse how the recent forms of racialisation simultaneously draw on heterogenous histories and nation-state formations, social conditions and sedimented bodily dispositions, which are re-adjusted to new social conditions, discourses and emerging forms of knowledge produced about Roma migrants over the last decade in British and European contexts.     

Buffon's needle and the estimation of migration distances

A procedure is suggested for estimating migration distances from data on the proportion of migrants crossing regional boundaries. The method makes use of Buffon's needle, a problem in geometrical probability from the eighteenth century that was originally used as an empirical means of estimating π. The procedure is described for various scenarios that differ in their assumptions about region shape, the spatial distribution of population, and the distribution of migration distances. An application to migration distances in the United States is given, and additional attention is given to the estimation of intraregional migration distances.     

空间格义背后的举意与旁观——《日用家当》中“家宅”的心理几何图解

在爱丽丝·沃克的短篇小说《日用家当》中,家宅被赋予了一定的格义属性,这可以被视为19世纪女性主义文学批评语境中的心理现象学介入。家宅格义背后的心理图解划清了个体＂生存空间＂的原型与流变,洋溢着深切的心理几何假设内涵。作者借助不同人物对于家宅的写实性解读,提供了一个富有曲面内涵的边缘记忆空间,揭示了主体的物我元一思想已然深植于家宅意象当中,并以拓扑图腾的同胚形式得以彰显。家宅的心理几何图解立体地刻画了个体在生存空间日渐缩限时的困顿与挣扎,更是直指个体守护本我世界时的一种精神重估,而这正是该部文学作品所隐含的原生代性旨归所在。     

The ℓ1 oblique procrustes problem

In this paper, we reconsider the well-known oblique Procrustes problem where the usual least-squares objective function is replaced by a more robust discrepancy measure, based on the ₁ norm or smooth approximations of it.We propose two approaches to the solution of this problem. One approach is based on convex analysis and uses the structure of the problem to permit a solution to the ₁ norm problem. An alternative approach is to smooth the problem by working with smooth approximations to the ₁ norm, and this leads to a solution process based on the solution of ordinary differential equations on manifolds. The general weighted Procrustes problem (both orthogonal and oblique) can also be solved by the latter approach. Numerical examples to illustrate the algorithms which have been developed are reported and analyzed.     

Cayley-Klein模型在研究罗氏平面直线中的应用

由于平行公理不同，导致罗氏平面直线与欧氏平面直线有很大差异。本文利用Cayley-Klein模型探讨罗氏平面直线的特性。     

天线罩覆盖的波束近轴场

本文根据复射线法对通过介质天线罩的高斯波束场进行近轴近似分析。实空间的轴向复射线追综大大简化了计算过程,而复相位差、反射-传输系数和曲面扩散系数的进一步校正则提供了相当精确的结果。所得数字结果表明,在波束的近轴区域内为获得同样的计算精度,近轴近似法所需要的计算机时间远小于复射线追综法的时间。     

The marked empirical process to test nonlinear time series against a large class of alternatives when the random vectors are nonstationary and absolutely regular

In this paper, we propose a method for testing absolutely regular and possibly nonstationary nonlinear time-series, with application to general AR-ARCH models. Our test statistic is based on a marked empirical process of residuals which is shown to converge to a Gaussian process with respect to the Skohorod topology. This testing procedure was first introduced by Stute [Nonparametric model checks for regression, Ann. Statist. 25 (1997), pp. 613–641] and then widely developed by Ngatchou-Wandji [Weak convergence of some marked empirical processes: Application to testing heteroscedasticity, J. Nonparametr. Stat. 14 (2002), pp. 325–339; Checking nonlinear heteroscedastic time series models, J. Statist. Plann. Inference 133 (2005), pp. 33–68; Local power of a Cramer-von Mises type test for parametric autoregressive models of order one, Compt. Math. Appl. 56(4) (2008), pp. 918–929] under more general conditions. Applications to general AR-ARCH models are given.