Spin, Statistics, and Reflections I. Rotation Invariance

The universal covering of SO(3) is modelled as a reflection group G_R in a representation independent fashion. For relativistic quantum fields, the Unruh effect of vacuum states is known to imply an intrinsic form of reflection symmetry, which is referred to as modular P₁CT-symmetry [1, 2, 11]. This symmetry is used to construct a representation of G_R by pairs of modular P₁CT-operators. The representation thus obtained satisfies Pauli’s spin-statistics relation. Communicated by Klaus Fredenhagen submitted 01/12/04, accepted 06/12/04     

How We Live,How We Love: Double Fault by Judith Chemaik and Party Party; Girlfriends,by Ronni Sandroff

Abstract

As anyone who has read anything about American higher education in the last year or two must know, “political correctness” is one of the most hotly debated topics on campuses throughout the country and at the annual meetings of many of the various learned societies. In some circles, the battle lines are clearly drawn and the DMZ precariously narrow - if it exists at all. But because the smoke from bomb shells has clouded the field, it is difficult to tell whether things are as bad as recent reports in academic journals and the popular press suggest. Only time will tell.     

Statistics and schools

This paper considers the place of statistics in school, putting forward the view that it should be seen as an interdisciplinary subject, relevant to all pupils, rather than solely as a separate specialism for a minority of children.     

寨卡病毒传播潜力与控制策略有效性分析

目前寨卡病毒已在超过65个国家和地区传播, 为了估计新加坡寨卡病毒的传播潜力和有关控制策略的有效性, 首先采用经典的传染病模型并结合累计报告病例数, 借助最小二乘法和MCMC方法进行模型参数估计, 寻求拟合累计病例数最佳的参数集合及其相应的置信区间.进而根据再生矩阵法求得的基本再生数公式,得到了新加坡寨卡爆发的阈值参数R₀的估计值和置信区间, 通过对比分析验证了新加坡寨卡病毒传播基本再生数的可靠性.之后, 分析了累计病例数对各个关键参数的敏感性, 探讨针对寨卡病毒传播控制策略的有效性.结果表明: 在对新加坡寨卡病毒的控制中, 需要通过增加检疫次数和检疫率、对患者进行隔离以及有效地灭蚊, 并且通过减少疫区的游客数量达到控制疫情的效果.