网络主题资源的非线性设计

非线性是网络教育形态的本质特征之一．利用网络媒体与技术实现教育系统设计的非线性转向,能为未来教育发展提供新的思路．网络主题资源的非线性设计原则有：开放资源系统;以现实问题作为聚合资源的线索;资源内容跨学科;资源属性多重描述;区分资源层级;半自动化生成学习路径．     

关于学习策略和词汇习得关系的反思——一项基于英语专业泛读课的调查

通过对70个英语专业学生学习策略的问卷调查和泛读课上词汇习得深度和宽度的测试,发现学生元认知策略的运用远远多于社会情感策略,学习策略与学生的词汇习得无显性相关。在此基础上,对学习策略和词汇习得的关系进行了探讨,认为二者非线性关系,学习策略只是影响词汇习得的因素之一。     

An introduction to hypergeometric functions for economists

Hypergeometric functions are a generalization of exponential functions. They are explicit, computable functions that can also be manipulated analytically. The functions and series we use in quantitative economics are all special cases of them. In this paper, a unified approach to hypergeometric functions is given. As a result, some potentially useful general applications emerge in a number of areas such as in econometrics and economic theory. The greatest benefit from using these functions stems from the fact that they provide parsimonious explicit (and interpretable) solutions to a wide range of general problems.     

一类非线性对称方程组解集的结构

主要讨论了非线性对称方程组Ｓ１＝Ｓ２＝…Ｓ２＝…＝Ｓλ－１＝Ｓλ＋１＝…＝Ｓｎ＝Ｓｎ＋１（１≤λ≤ｎ）,（Ｓｋ＝ｘ１ｋ＋ｘ２ｋ＋…＋ｘｎｋ,ｋ＝０,１,２,…）的非零解,并指出其解集的结构．     

泛文化视角下非线性建筑设计的哲学思考——以上海世博会为例

本文从泛文化的视角出发,对上海世博会中的的非线性建筑设计的开放性、多样性、多元融合的特征进行了哲学分析。指出,非线性设计体现了全球化的绿色文化和民族性的地域文化;表达出其他民族文化和中华文化的交融,从而为基于泛文化理念的建筑设计提供了新的途径。      

Consistency of a class of information criteria for model selection in non-linear regression

In this paper we prove the consistency in probability of a class of generalized BIC criteria for model selection in non-linear regression, by using asymptotic results of Gallant. This extends a result obtained by Nishii for model selection in linear regression.     

Interval estimation of the mean in a two-stage nested model

The problem of constructing confidence intervals to estimate the mean in a two-stage nested model is considered. Several approximate intervals, which are based on both linear and nonlinear estimators of the mean are investigated. In particular, the method of bootstrap is used to correct the bias in the ‘usual’ variance of the nonlinear estimators. It is found that the intervals based on the nonlinear estimators did not achieve the nominal confidence coefficient for designs involving a small number of groups. Further, it turns out that the intervals are generally conservative, especially at small values of the intraclass correlation coefficient, and that the intervals based on the nonlinear estimators are more conservative than those based on the linear estimators. Compared with the others, the intervals based on the unweighted mean of the group means performed well in terms of coverage and length. For small values of the intraclass correlation coefficient, the ANOVA estimators of the variance components are recommended, otherwise the unweighted means estimator of the between groups variance component should be used. If one is fortunate enough to have control over the design, he is advised to increase the number of groups, as opposed to increasing group sizes, while avoiding groups of size one or two.     

非对称国家越境污染最优控制模型

环境问题已成为世界共同面对的问题,应对越境污染需要国际合作,但发达国家和发展中国家对"共同但有区别的责任"理解上存在差异。本文是运用博弈理论研究越境污染的最优控制,基于博弈理论的线性战略和非线性战略构建非对称两国污染物质流量及污染物质存量的控制模型。微分博弈的研究分析结果表明:在一定条件下,非对称两国非合作控制污染物质排放量的稳定状态的污染物质存量小于其合作控制污染物质排放量的稳定状态的污染物质存量的可能性存在。     

银行卡的替代效应及其对狭义货币需求的影响分析

本文首先研究了我国银行卡支付额对现金的替代效应,并进一步分析了银行卡支付额对狭义货币需求的影响。研究发现:随着近年来我国银行卡产业的蓬勃发展,银行卡支付总额猛增,银行卡支付额与现金流通量之间呈指数替代关系,并建立了银行卡支付额对现金替代效应的非线性模型;银行卡支付额对狭义货币需求量的影响也是非线性的,并利用非参数局部多项式拟合建立了部分线性回归模型。这两个模型在这类研究中是首次提出,并有很好的解释作用。     

概述随机非线性动力系统在经济周期研究中的运用

非线性动力学为经济周期的动态分析提供了全新的思路和方法,打破了传统的均衡线性分析的范式。考虑到复杂经济系统中本质的表现为非线性,而且还不可避免地存在随机噪声。因此,为了深入地探究经济周期的动力学形成机理,将随机非线性动力系统引入到经济周期问题的研究中。通过研究随机模型的稳定性、分岔、混沌和随机最优控制,实现对宏观经济动态演化和运行的评价、监测与控制。这不仅拓宽了随机动力学在宏观经济领域中的应用,而且也为宏观经济运行的研究提供了一个全新的思路和方法。