Pit your wits against young minds!

This column is a place for those bits of contagious mathematics that travel from person to person in the community, because they are so elegant, suprising, or appealing that one has an urge to pass them on. Contributions are most welcome.     

几乎共线性的度量问题

本文考虑回归分析和数值相关分析等领域中的向量相关性的度量问题,引进一种用于度量共线性影响的数量指标,并讨论了它的基本性质以及与病态条件数和复相关系数的关系.     

新型锆质不定形耐火材料的研制

以废旧电熔锆刚玉为主要原料,采用合理的粒度级配,应用复合结合剂和外加剂以凝聚结合的方式研制成功具有高荷重软化温度、高强度、低气孔率、低烧结线变化的新型锆质不定形耐火材料。图4,表4,参3。     

Reversible addition–fragmentation transfer (RAFT) copolymerization of methyl methacrylate and styrene in miniemulsion

In the reversible addition–fragmentation transfer (RAFT) copolymerization of two monomers, even with the simple terminal model, there are two kinds of macroradical and two kinds of polymeric RAFT agent with different R groups. Because the structure of the R group could exert a significant influence on the RAFT process, RAFT copolymerization may behave differently from RAFT homopolymerization. The RAFT copolymerization of methyl methacrylate (MMA) and styrene (St) in miniemulsion was investigated. The performance of the RAFT copolymerization of MMA/St in miniemulsion was found to be dependent on the feed monomer compositions. When St is dominant in the feed monomer composition, RAFT copolymerization is well controlled in the whole range of monomer conversion. However, when MMA is dominant, RAFT copolymerization may be, in some cases, out of control in the late stage of copolymerization, and characterized by a fast increase in the polydispersity index (PDI). The RAFT process was found to have little influence on composition evolution during copolymerization. The synthesis of the well‐defined gradient copolymers and poly[St‐b‐(St‐co‐MMA)] block copolymer by RAFT miniemulsion copolymerization was also demonstrated. © 2004 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 42: 6248–6258, 2004     

虚拟世界与艺术呈现的困境

虚拟世界是由人工智能、计算机图形学、人机接口技术、传感器技术和高度并行的实时计算技术等集成起来所生成的模拟世界。在当代社会,虚拟世界形成一个人类交流信息、知识、思想和情感的新型模式已深刻地影响并主导了人类生活。在这一境遇中,传统艺术观念受到前所未有的挑战,尤其是艺术精神的引申意义受到质疑和艺术的“乌托邦”色彩被淡化,导致艺术呈现走入困境。     

语言实验室安装前的准备及竣工后的验收

安装前的准备工作和竣工后的验收工作是影响语言实验室正常运行的两个重要因素．文章针对上述两点进行阐述．     

计算学科中的实验体系

本文讨论了计算学科中的实验体系,阐述了建立实验体系的框架,进入实验规划和实施方案和内容,讨论了实验改革和创新的思路,以及建立软件实验、虚拟实验的探索和建立移动实验室的构想。     

Ruin Probability with Variable Premium Rate and Disturbed by Diffusion in a Markovian Environment

We consider a risk model with a premium rate which varies with the level of free reserves. In this model, the occurrence of claims is described by a Cox process with Markov intensity process, and the influence of stochastic factors is considered by adding a diffusion process. The integro-differential equation for the ruin probability is derived by a infinitesimal method.     

磁放大器原理及执行器故障分析

论述了磁放大器的工作原理和特点 ,介绍了磁放大器在执行器中的应用 ,对执行器的两种常见故障作了分析