数学教学应注重培养学生的“数觉”

数学学习中,有学生主动参与的教学才是有效的教学。作为数学教师有必要转变教学观念,将教学重点从数学定理的讲解、证明和如何解题转向对学生“数觉”的培养上。只有培养了学生的数觉,才能使学生在与数学有关的心理机能方面不断得到锻炼,逻辑思维能力和解决数学问题的能力不断得到提升。     

我国电子书定价的影响因素及方法探析

我国电子书市场定价混乱,在某种程度上造成了电子书销售市场的无序状态。分析了我国电子书价格现状,并在此基础上对读者、市场、版权、价值和成本等电子书价格的相关影响要素及其重要程度进行了分析,总结了我国电子书定价的方法,包括渗透定价法、差别化定价法、捆绑定价法和尾数定价法等。     

论《资本论》的方法

《资本论》以唯物史观和辩证法为基础 ,运用科学的从抽象到具体的研究方法和逻辑方法 ,从商品的价值规律及其体现的社会经济关系入手 ,揭示了资本主义经济关系受价值规律支配产生和发展的自然必然性及其历史趋势 ,充分体现了逻辑、辩证法和唯物主义认识论三者的统一。认识《资本论》的方法对于研究我国的市场经济关系 ,建立起完善的市场经济体制和科学的政治经济学体系 ,具有现实指导意义。     

国有商业银行股份制改造中股权方式的探索--存款股权制

国有商业银行股份制改造虽然应通过增加股权资本来达到提高资本充足率的目的,但目前银行达不到从资本市场大量融资的条件。应开发一种稳定、低风险的股权方式———存款股权制。既可优化银行的资本结构,又为进入资本市场融资,增强银行实力做准备。     

古汉语专书同义词的研究方法与原则问题

古汉语专书同义词的归组可使用"系联法"与"参照法"相结合以归纳同义词的方法;在进行研究时应研究并展示归纳出来的全部同义词组,举出例证,在此基础上描述专书同义词的使用情况并揭示其类型、特点及规律;研究古汉语专书同义词只能尽量做到"穷尽",而无法真正做到"穷尽";在归纳同义词时应遵循从宽的原则,这样才不会将有价值的东西遗漏掉。     

数学中化归问题的教学和实践

本文对数学中化归的方法含义,化归的方法要素和核心作了一些理论探索,提出了化归的三条基本途径：（1）向基本模型化归;（2）向特殊模型化归;（3）向低层模型化归。并对化归方法作了教学实践尝试,从熟悉化、简单化、直观化入手提出了化归是一种重要的解决问题的方法。     

新疆入境外国游客客源市场分析基于亲景度、竞争态及SSM

分析新疆入境外国游客客源市场,明确市场的发展现状、存在问题和未来趋势,更有利于旅游业快速发展。运用亲景度、竞争态和SSM方法,借助有关统计数据,从不同角度探讨新疆入境外国游客客源市场的研究结果表明:各客源国入境外国游客对新疆的整体亲景度稳中下降;市场竞争态整体良好,但某些客源国市场增长率明显缓慢;市场竞争力在全国较强,但市场结构欠佳。针对各客源市场的不同,提出了相应的发展对策。     

A new algorithm for clustering based on kernel density estimation

In this paper, we present an algorithm for clustering based on univariate kernel density estimation, named ClusterKDE. It consists of an iterative procedure that in each step a new cluster is obtained by minimizing a smooth kernel function. Although in our applications we have used the univariate Gaussian kernel, any smooth kernel function can be used. The proposed algorithm has the advantage of not requiring a priori the number of cluster. Furthermore, the ClusterKDE algorithm is very simple, easy to implement, well-defined and stops in a finite number of steps, namely, it always converges independently of the initial point. We also illustrate our findings by numerical experiments which are obtained when our algorithm is implemented in the software Matlab and applied to practical applications. The results indicate that the ClusterKDE algorithm is competitive and fast when compared with the well-known Clusterdata and K-means algorithms, used by Matlab to clustering data.     

Several least-squares problems related to the Hodrick–Prescott filtering

The Hodrick–Prescott (HP) filtering is frequently used in macroeconometrics to decompose time series, such as real gross domestic product, into their trend and cyclical components. Because the HP filtering is a basic econometric tool, it is necessary to have a precise understanding of the nature of it. This article contributes to the literature by listing several (penalized) least-squares problems that are related to the HP filtering, three of which are newly introduced in the article, and showing their properties. We also remark on their generalization.     

A robust automatic clustering algorithm for probability density functions with application to categorizing color images

This study develops a robust automatic algorithm for clustering probability density functions based on the previous research. Unlike other existing methods that often pre-determine the number of clusters, this method can self-organize data groups based on the original data structure. The proposed clustering method is also robust in regards to noise. Three examples of synthetic data and a real-world COREL dataset are utilized to illustrate the accurateness and effectiveness of the proposed approach.