基于灰色系统理论的国家外汇储备总额预测

采用灰色系统理论的预测方法,以2007年10个月的国家外汇储备总额为基础数据,调用Maple函数,简捷的导出了国家外汇储备总额的预测模型,并在此基础上对国家未来外汇储备总值进行了预测。     

试用Maple加强非计算机课程的教学

用Maple语言来动态形象地描述"炮弹运动轨道",以此来加强非计算机课程的教学效果.     

Economic factors that affect new product substitution: A case history

A scenario is presented of a U.S. industry whose traditional products were well into the maturity stage of the product life cycle and long overdue in introducing a new product to the marketplace.     

Impact of climate-related changes to the timing of autumn foliage colouration on tourism in Japan

This study introduces plant phenophase as a “bridge” to assessing the impact of climate change on autumn foliage viewing tourism in Japan. The results showed that from 1978 to 2016, the autumnal foliage colouration of four cities in Japan was delayed, the duration of the autumnal leaf discolouration was significantly shortened, and only one city experienced a significant delay in leaf-falling. The delay in the autumn foliage colouration and leaf-falling periods on average increase the December maple viewing tourism volume by 3.64% and 3.02%, respectively. The impact on autumn maple foliage viewing tourism volume also has a 1-year delay effect, and the maple foliage phenophase of different cities have significantly varied influence on maple foliage viewing tourism volume. Overall, the change in the timing of maple leaf discolouration has been advantageous to the Japanese maple tourism industry.     

Maple在《线性代数》试卷命题中的应用

本文结合《线性代数》试卷的命题，介绍了数学软件Maple教学中应用．     

Computer algebra in probability and statistics

This paper discusses the uses of computer algebra within statistics and probability. A distinction is drawn between the use of computer algebra packages to support investigations, by performing calculations, ankl their use to implement structure; to build in elements of a theory (such as stochastic calculus or the Taylor string theory of Barndorff Nielsen and others) as a preliminary to research investigations. Brief surveys are given of instances in the literature of use of computer algebra in probability and statistics. Two examples of implementations of structure are discussed, both drawn from the author's own work with the computer algebra package REDUCE. One is a simple demonstration using moments of the Poisson distribution. The other is itovsn3 , an implementation of the semimartingale stochastic calculus. It is described how itovsn3 may be used to derive the characteristic function of the Lévy stochastic area, following a proof due to S. Janson. Prospects for future work and for work in progress are discussed.     

Differential Equation Modeling as a Source of Theoretical Insight: Four Disparate Examples

We explore differential equations involving alcoholism, socialmobility, excess female mortality, and international arms competition.In each of these instances we show that the initial equation, orsystem of equations, has a sociological plausibility comparable tothat of the associated solutions; the solutions do indeed describetime-series trajectories that seem to represent important and uniquesocial processes. We argue that the central challenge of differentialequation modeling is to use experimentation to clarifyrelationships between, on the one hand, the equations andtheir coefficients and, on the other, the solutions and thetime-series orbits created by them. Such feedback interaction ofdifferential equations and their solutions appears to be the basis forfurther theoretical insight, and rapid assessments of theseinteractions are now possible largely because modern softwareencourages experimentation with many combinations of inputcoefficients.This paper expands on an argument made by Nielsen and Rosenfeld(1981, p. 161), who recommend that differential equations be interpreted in a way that emphasizes their solutions, i.e., the time-seriestrajectories of Yvalues, the orbits of Y, taken torepresent behavior of dependent variables through time. We concludethat the most edifying interpretations of differential equations focuson the equations themselves, the resulting trajectories, therelationships between equations and trajectories, and the theoreticalsignificance of all three.