一种求解有限循环群的子群的快速算法--平衡法

对有限循环群的性质和群的分解进行了研究后，给出了一种求解有限循环群的子群的平衡法及实现程序和操作方法。与传统方法相比，该方法不仅简单、计算量少，而且操作性强，能求出有限循环群的所有子群及相应元素。     

循环群中剩余类加群的讨论

在循环群的研究中,整数加群和剩余类加群占有重要位置,文中对剩余类加群从结构、运算规律、性质等方面加以讨论研究,给出两个重要结论,从而将循环群中所有有限循环群的研究归结到对剩余类加群的研究上,并且两类循环群间是同态关系.     

一类高次多项式系统极限环的研究及其应用

应用平面自治系统的极限环理论和分支理论，研究了一类具有普遍意义的高次多项式系统。讨论了该系统极限环的存在性和惟一性，分析了系统的分支，同时解决了系统极限环的个数和分布问题。     

关于二次系统极限环的分布

研究了二次系统dx/dt=P2(x,y);dy/dt=Q1(x,y)的极限环的相对位置关系，证明了如果该系统除了存在两个稳定性相同的粗焦点外，还存在第三个有限远奇点，那么它的极限环只能集中分布在一个粗焦点外围。     

Signal extraction and estimation of a trend: a Monte Carlo study

Several authors (King and Rebelo, 1993; Cogley and Nason, 1995) have questioned the use of exponentially weighted moving average filters such as the Hodrick–Prescott filter in decomposing a series into a trend and cycle, claiming that they lead to the observation of spurious or induced cycles and to misinterpretation of stylized facts. However, little has been done to propose different methods of estimation or other ways of defining trend extraction. This paper has two main contributions. First, we suggest that the decomposition between the trend and cycle has not been done in an appropriate way. Second, we argue for a general to specific approach based on a more general filter, the stochastic trend model, that allows us to estimate all the parameters of the model rather than fixing them arbitrarily, as is done with mainly of the commonly used filters. We illustrate the properties of the proposed technique relative to the conventional ones by employing a Monte Carlo study. Copyright © 1999 John Wiley & Sons, Ltd.     

Composite leading indicators of underlying inflation for seven EU countries

This paper presents short‐ and long‐term composite leading indicators (CLIs) of underlying inflation for seven EU countries, namely Belgium, Germany, France, Italy, the Netherlands, Sweden and the UK. CLI and CPI reference series are calculated in terms of both growth rates and in deviations from its trend. The composite leading indicators are based on leading basic series, such as sources of inflation, series containing information on inflation expectations and prices of intermediate goods and services. Neftci's decision rule approach has been applied to transfer movements in the CLIs into a measure of the probability of a cyclical turning point, which enables the screening out of false turning point predictions. Finally, CLIs have been used to analyse the international coherence of price cycles. The forecast performance of CLIs of inflation over the past raises hope that this forecast instrument can be useful in predicting future price movements. Copyright © 1999 John Wiley & Sons, Ltd.     

冻融环境下地聚物混凝土和螺纹钢筋黏结性能的研究

寒冷地区临海、盐碱土壤或冰盐环境中的混凝土结构因遭氯离子腐蚀和冻融循环的共同作用使得钢筋与混凝土间的黏结性能劣化,甚至会导致构件过早失效。为了分析在冻融循环和氯离子腐蚀耦合作用下地聚物混凝土与螺纹钢筋间黏结性能的变化规律,通过拉拔试验研究了地聚物混凝土与螺纹钢筋在此环境下的黏结性能,分析了保护层厚度（40 mm、60 mm、67 mm）、盐溶液浓度（0 %、5 %、10 %）和冻融次数（0次、15次、30次、50次）对极限黏结强度及黏结—滑移曲线的影响。结果表明：盐冻循环和水冻循环试件与未冻融试件破坏模式相同,均为劈裂破坏;但与未冻融的试件相比,极限黏结强度总体上降低,经过50次冻融循环后,盐冻和水冻试件的极限黏结强度为未冻融试件的56 %~67 %和80 %左右;最后,基于试验数据,提出考虑冻融次数和盐溶液浓度影响作用下地聚物混凝土劈裂抗拉强度以及极限黏结强度的拟合公式,以期为混凝土结构的工程应用提供理论参考。     

关于混合图的特征向量的结构

设G为一个混和图.它是通过对一个无向图定向其中的某些边而获得.若G为简单图,关于G的对应次小特征值的特征向量的结构,Fiedler给出一个值得注意的结论.当G为恰含一个非奇异圈的混合图时,关于G的对应最小特征值的特征向量的结构,根据Fiedler的结论,获得一个类似结果.     

冻融循环条件下岩石损伤扩展研究初探

借助于岩石材料冻融循环ＣＴ扫描实验，对岩石材料在冻融循环条件下损伤扩展特性进行研究，着重探讨了冻融循环次数对岩石材料损伤扩展的影响。     

一个具功能反应的微分生态系统的定性分析

应用数学生态学和微分方程定性理论,建立并讨论了一个具功能反应的微分生态系统,在给定参数满足一定的条件下,证明了该系统极限环的存在性和唯一性,以及该系统正平衡点的全局渐近稳定性.