Performing armchair roundoff analyses of statistical algorithms

Numerical stability is but one of many desirable properties which should be considered when designing statistical software. However, rigorous roundoff analysis is rarely done because it seems not worth the price; the influence of rounding error is usually of secondary importance, and the analysis is thought to be beyond the reach of all but a few specialists. This note discusses the role of roundoff analysis in the design of a statistical program and shows that new techniques sometimes make assessment of the effect of rounding errors no more difficult than the verification of other program properties.     

Sri Lanka: an exploration of the systemic erosion of stability

Abstract

In Sri Lanka tremendous expertise is employed in thinking and manoeuvring around the personalities that shape the outcomes that beset the country. Such expertise is the bread and butter of the political and business circles, which is equally well reflected in the media and realistically respected in the NGO and international circuit.

What is disconcerting however is the almost oblivious attention paid to matters of structure and functionality. Yet Sri Lanka is rife with structural and functional anomalies, which is positioned to terminally gnaw at advantages gained by changes in governments, peace talks, poverty reduction, etc. Using the example of the Public Administration System and the democratically elected Presidential and Parliamentary process explained is the structural and functional impediments that are crying out for serious remedy.

There is a vital homeostatic balance that is exercised between the parliament and the Public Administration System as a result of the former being elected and the latter employed on tenure. This translates to the Public Administration System being able to afford to think long term (since their tenure is secure) whilst being tempered by parliament's shorter range thinking occasioned by the politician's need to show results to entice its next bout of votes. In essence, this twofold structure serves to foster the seeking of a homeostatic balance between the long-and short-term needs of the country.

In Sri Lanka by constitutional and other legislative enactments various homeostatic relationships between races, languages, time spans etc. have been (un)wittingly flouted. These aspects are diagnosed using the cybernetic concepts of homeostasis and ultrastability.     

分布时滞Hopfield神经网络稳定性

针对分布时滞的Hopfield型神经网络构造了李雅普诺夫能量函数,证明了该网络的稳定性问题。证明过程中运用了引理的结论,充分利用了所取李雅普诺夫函数的特殊性,较多地运用了不等式分析方法及不等式放缩技巧。同时由于时滞的存在,证明过程中还涉及李雅普诺夫泛函问题。最后利用引理的结论得出了该网络全局一致渐近稳定的结论。     

信用衍生品对金融稳定性的影响及政策建议

信用衍生品在转移银行业信用风险的同时,又会通过各种途径对金融体系的稳定性造成一定程度的负面影响,本文主要研究信用衍生品对金融体系稳定性的负面影响并提出相应的政策建议。     

亚里士多德《政治学》中的社会稳定思想及其启示

在《政治学》中,亚里士多德深入分析了当时城邦出现动乱、内讧、政变等现象的一般原因和特殊原因,提出了相应防范和救治的对策和方法,阐发了稳定城邦的基本原则,蕴涵着丰富的社会稳定思想。在现时代背景下,凸显和挖掘亚里士多德关于社会稳定的思想资源,对于我们维护社会稳定,防范社会风险,构建社会主义和谐社会具有重大的启迪和借鉴意义。     

关于两类矛盾问题的沉思

人民内部矛盾问题提出的初衷是为了区分两类不同性质的矛盾 ,用说服和教育的方法来解决人民内部矛盾。可是自从这个理论提出后不久 ,就开始了全国范围大规模持续不断地混淆两类矛盾的历史。教训是多方面的 ,但最重要的是没有适时地提出依法治国和建设社会主义法制国家的口号 ,中国传统的人治思想遮蔽了人们的视线。在依法治国的今天 ,如何区分两类矛盾问题已经有法可依 ,而正确处理人民内部矛盾的思想对于我们处理多方面复杂的社会矛盾 ,化解冲突 ,避免发生危及社会安全的重大事件 ,保持社会的稳定 ,仍具有重要的指导意义     

论劳动力胀供给膨对宏观经济运行的不良影响

劳动力供给膨胀问题是一个严重的社会问题,劳动力供给膨胀对宏观经济的运行产生许多不良影响,集中体现在市场经济效率、社会财富分配、社会稳定三个方面。研究劳动力供给膨胀对一个国家构建和谐社会具有重要的理论意义和现实意义。     

产权稳定性分析

近年来,关于产权的论述很多。针对中国国企改革,引入产权的稳定性概念,将其与产权的流动性进行辩证分析,可以从中构思国企改革中资源配置的合理性。     

论农村和谐社会的构建

构建和谐社会是我党在现阶段提出的新任务。完成这一任务,重点在农村,关键在农民。没有农村的和谐,就不可能有城乡的和谐,就不可能有中国的和谐。因此,进一步加快农业和农村经济发展;努力提高农民的科学文化素质;加强农村基层民主政治建设;大力维护农村社会稳定,就成为构建农村和谐社会的主要任务。     

关于测度微分方程描述的大系统的稳定性

本文通过所建立的分布型向量积分不等式，对由测度微分方程所描述的大系统进行了稳定性研究，得到了其零解稳定、渐近稳定的若干判别准则；为这类问题的研究提供了一种新的途径．