将浪漫诗意融入数学课堂

数学以缜密、严谨、规范著称,似乎与"僵化、刻板、枯燥"搭界,由此看来,数学真的与浪漫诗意"绝缘"了吗?我们说:不!一、"诗"和"诗意"首先需简单了解一下"诗"和"诗意"的无穷魅力、精神价值和存在意义《.现代汉语词典》说:"诗是反映生活、抒发感情的具有韵律性的文字."西南师范大学中国新诗研究所所长     

《大学数学》征稿启事

<正>一、《大学数学》是由教育部主管,大学数学课程教学指导委员会、高等教育出版社有限公司、合肥工业大学联合主办的全国性教学与科研相结合的数学刊物。二、本刊设有"理论与方法"、"数学应用"、"专题研究"、"教学研究与改革"、"计算机辅助教学"、"教材建设"、"思维与能力培养"、"数学建模"、"教学研究"等栏目。三、本刊的读者对象是数学工作者,大专院校师生,有关科技人员和其他数学爱好者。四、来稿要求和注意事     

“基本数学经验”的界定与分类

在<数学课程标准>的修订过程中,东北师范大学史宁中校长提出,在注重"基本知识"和"基本技能"的同时,要积累"基本数学经验"和发展"基本数学思想方法".     

§9.6.1二面角

教学目标1.使学生正确理解和掌握"二面角"、"二面角的平面角"的概念.2.引导学生探索和研究"二面角的平面角"应该如何定义,在概念形成的过程中,发展学生的思维能力.     

由中点该想些什么

有关"中点的问题"是几何中最常见的重要问题之一,"中点问题"常常涉及到"直角三角形斜边上的中线等于斜边的一半"和"三角     

对课程目标新增“发现和提出问题的能力”的认识

《课标(2011版)》课程目标首次创新地提出了"增强学生发现和提出问题的能力、分析和解决问题的能力",把义务教育阶段数学教学的总体目标由《课标(实验版)》的"两能"(分析问题和解决问题的能力),发展为"四能"(发现问题和提出问题的能力、分析问题和解决问题的能力).本文就数学教学的总体目标由"两能"发展为"四能"的意义、对发现和提出问题能力的认识,谈点粗浅的体会.一、从"两能"发展到"四能"的意义     

预设·生成——由公开教学活动引发的对课堂教学的思考

在课堂教学研究中笔者有一个深刻的感悟:常态状况下,一堂课是由"预设"和"生成"两个关键要素构成.一堂课如果能够合理、恰当地处理好"预设"和"生成",也就能高效地为学生传授知识、方法和思想,更能高效地培养学生的能力和创新意识.现就两组公开课教学案例谈谈对这个     

带跳GARCH-SV模型的参数估计及实证分析

在GARCH随机波动率模型基础上,建立了带有"杠杆效应",双重跳与"风险溢价",因子的G-SVCJ和G-SVIJ模型。考虑"杠杆效应"以及标的资产价格和波动率两方面的跳跃和"风险溢价",利用基于有效重要性抽样方法的极大似然估计(EIS-ML),估计了G-SV,G-SVJ,GSVCJ,G-SVIJ模型的参数,并利用沪深300指数与恒生指数进行实证分析。结果说明了中国股市存在"跳跃"现象、"杠杆效应"以及"风险溢价",同时表明G-SVCJ和G-SVIJ模型更有效。     

DEA与数据挖掘

使用Wei和Yan给出的凸多面体的"和形式"与"交形式"相互转化的方法,得到"交形式"的生产可能集TWY,以及由此判别相对效率的方法,研究DEA用于数据挖掘,处理具有"海量"决策单元的相对效率评价(包括技术有效性和规模收益递增、不变、递减以及"拥挤"迹象).给出的方法只需使用一个"交形式"的生产可能集,与本作者先前的"DEA评测机"相比,可以节省很多计算量.方法是对DEA评测机的一种新的改进,是对数据挖掘领域的一个补充.     

大学数学类课程项目驱动教学模式的实践与探讨

作者以面向行政管理专业开设的"概率论与数理统计"和公选课"社会调查研究方法"为主,实施了项目驱动教学模式,使这两门课建设成为富有特色的"课程群",又将课程建设和教学改革经验迁移到"数学建模"、"高等数学"等其他大学数学类公共课中,取得了很好的成效.对传统基础课程的改造与建设、精心设计组织用于驱动教学的"项目"或"问题"、教师的科研积累尤其是跨学科学术资源,是成功实施该教学模式的重要因素.     

Ad Hoc网络区域划分和资源分配问题评注

简述2006年全国研究生数学建模竞赛A题的命题背景和设计思路,并对A题参赛论文所涉及的思想与方法进行评注.     

Incentive regulation and the change in productive efficiency in telecommunications in the United States

Incentive regulation has become an important regulatory tool in the telecommunications industry in the United States. The issue explored here is whether incentive regulation has resulted in an increase in productive efficiency. After providing an overview of the nature of incentive regulation, a methodology for measuring technical inefficiency and its change is introduced. This is a stochastic frontier production function approach reflecting technical inefficiency effects. The results of implementing this methodology suggest that in the production of interLATA billed access minutes for interstate calls, there was no change in technical efficiency, something that incentive regulation was specifically designed to enhance. Finally, an assessment of technical efficiency across individual LECs in the United States indicates considerable variability. Published in 2001 by John Wiley & Sons, Ltd.     

Dynamic decision methods in the presence of uncertainty in the state and the dynamics

The article considers the problem of dynamic decision under uncertainty in the state and in its dynamics. Game models and identification and decision methods are developed that ensure consistency and asymptotic stationarity of dynamic equilibria.This study was partially financed by the Russian Foundation of Basic Research (95-01-01137).Translated from Nelineinye Dinamicheskie Sistemy: Kachestvennyi Analiz i Upravlenie — Sbornik Trudov. No. 3. pp. 10–22, 1993.     

Circulation hydrodynamics in the organs of the abdominal cavity in the presence of extracorporeal perfusion

The general hemodynamics and circulation in the organs of the abdominal cavity have been investigated in the presence of artificial circulation at a calculated rate of perfusion. The effect of vasoactive preparations (noradrenaline, Arfonad) on these characteristics is analyzed. The behavior of the microcirculation in the presence of artificial circulation created by an artificial circulation apparatus equipped with automatic control systems of original design has been studied. It has been found that disturbances of the microcirculation are responsible for the development of a state of hypoxia in organs and tissues in the presence of artificial circulation at a calculated rate of perfusion under conditions of controlled vasoconstriction or controlled hypotension. Stabilization of the arterial pressure and the functional state of the vascular bed in the presence of artificial circulation had a positive effect on the tissue blood flow and oxygen metabolism in the organs of the abdominal cavity.Paper presented at the First All-Union Conference on Engineering and Medical Biomechanics on the topic: Problems of Circulatory Hydrodynamics, Riga, October, 1975.D. I. Ulyanov Kuibyshev Medical Institute. Translated from Mekhanika Polimerov, No. 5, pp. 871–874, September–October, 1975.     

On the Gap in the Spectrum of the Translations

The spectrum of the translations in local quantum field theory will be analyzed in order to show that in a positive energy representation without vacuum vector and with lowest mass m₁ there is no gap in the spectrum which is larger than 2m₁. In particular in a zero mass representation there is no hole at all. These results are obtained with methods of analytic functions of several complex variables.     

On the continuity of the sharp constant in the Jackson-Stechkin inequality in the space L 2

This paper deals with the continuity of the sharp constant K(T,X) with respect to the set T in the Jackson-Stechkin inequality $E(f,L) \leqslant K(T,X)\omega (f,T,X),$ , where E(f,L) is the best approximation of the function f ∈ X by elements of the subspace L ? X, and ω is a modulus of continuity, in the case where the space L ²( $\mathbb{T}^d $ , ?) is taken for X and the subspace of functions g ∈ L ²( $\mathbb{T}^d $ , ?), for L. In particular, it is proved that the sharp constant in the Jackson-Stechkin inequality is continuous in the case where L is the space of trigonometric polynomials of nth order and the modulus of continuity ω is the classical modulus of continuity of rth order.     

Investment decisions in the rent-to-own industry in the absence of inventory

This study addresses the product investment decision faced by firms in the rent-to-own industry. In this setting, a customer arrives according to a random process and requests one unit of a product to rent (and eventually own should he/she choose to make all the required payments). At the time of request, if the product is available in inventory, the firm enters into a contractual agreement (by accepting the customer's offer) and rents the merchandise. More interesting and the case considered here, if the requested item is not in inventory, the firm must decide whether to purchase the item in order to rent it out or to simply reject the request. The customer's offer specifies the desired maximum contract length and the payment frequency—from which the firm determines the fixed periodic payment charged. The firm makes its investment decision based on the characteristics of the offer as well as those of the product (eg, initial and resale values, useful life and carrying costs) in essence performing a complicated cost benefit analysis. An extension is also considered whereby instead of simply rejecting the request the firm can adjust the required payment amount. Dynamic programming techniques are used to address the problem and to solve for the firm's optimal decision.     

用统计分析方法探讨西部区县旅游业的发展

运用主成分分析方法,对影响西部区县旅游业发展的因素进行分析,探寻西部区县旅游业发展的规律,并建立旅游业收入的主成份回归模型。