Mathematical models of canine right and left atria cardiomyocytes

The aim of this study is to build two mathematical models of canine ionic currents specific to right atria and left atria.The canine left atria mathematical model was firstly modified from the Ramirez-Nattel-Courtemanche(RNC) model using the recently available experimental data of ionic currents and was further developed based on our own experimental data.A model of right atria was then built by considering the differences between right atria and left atria.The two developed models well reproduced the exper...     

经济学的数理分析框架——以市场模型为例

数理经济学主体框架分为静态、比较静态和动态三大部分.每一部分的侧重点各有不同,静态是求解模型均衡解;比较静态关注模型均衡解如何随系统参数扰动而变动;动态侧重均衡解是否能达到及如何达到.文章以线性局部市场模型为例,分别从静态、比较静态和动态三方面剖析了数理经济分析的整体框架与思路.     

复吹转炉溅渣护炉工艺冷态模拟实验

通过冷态模拟实验,对16o顶枪的复吹转炉溅渣护炉效果进行了定量测定,得到最佳工艺参数为顶吹气体流量40000Nm3/h,渣量13t,底吹气体流量864Nm3/h,最佳溅渣枪位为2900～3500mm.     

数学分析在函数方程求解中的应用

问题研究是数学发展和数学创新的动力,也是在大学数学教学过程中提高学生学习兴趣的重要途径.文章针对函数方程的近似求解问题,给出多种算法,这些算法的理论基础是数学分析的一些重要结论.     

Learning through intermediate problems in creating cognitive models

Cognitive modelling is one of the representative research methods in cognitive science. It is believed that creating cognitive models promotes learners’ meta-cognitive activities such as self-monitoring and reflecting on their own cognitive processing. Preceding studies have confirmed that such meta-cognitive activities actually promote learning effects. However, there are some difficulties in bringing about learning by creating cognitive models in an educational context. To overcome the difficulties, we propose an innovative learning design, ‘learning through intermediate problems’ and also developed a web-based production system called DoCoPro that can be used anywhere and anytime in an environment connected to the Internet. We performed three introductory cognitive science classes in which the participants learned cognitive modelling and constructed running computer models using our system. In the first and second classes, the participants were required to construct production system models that solve pulley problems. They also posed their original pulley problems that their own models were subsequently able to solve. These generated problems were distributed to the other members. The participants were able to find incompleteness in their cognitive models, revise them to remove the incompleteness, and improve their models while solving the given problems. The participants, by successfully creating sophisticated models, acquired a deeper knowledge of the learning domain. The class practices confirmed the utility of ‘learning through intermediate problems’ when constructing an educational environment for learning creating cognitive models. In the third class, the participants constructed cognitive models solving addition and subtraction problems using DoCoPro. The cognitive processing underlying such problem solving is automated, therefore it may be difficult to verbalize and externalize such cognitive processes. The post-questionnaire showed evidence that the participants actually performed meta-cognitive activities while monitoring their own internal information processing.     

Investigation on the application of reformed coke oven gas in direct reduction iron production with a mathematical model

To investigate the application of reformed coke oven gas （COG） in producing the direct reduction iron （DRI）, we simulated a countercurrent gas solid moving bed reactor in which the iron ore pellet was reduced by reformed COG. An ordinary differential equation （ODE） was set based on the unreacted shrinking core model considering both mass and energy balances of the reactor. The concentration and temperature profiles of all species within the reactor were obtained by solving the ODE sys tem. The solid conversion and gas utilization were studied by changing gas flow rate, solid flow rate, reactor length, and the ratio of O/CHa to guide the practical application of COG in DRI production. Model results showed that COG was suitable for the DRI production. In order to meet the requirement of the industrial production, the minimum gas flow rate was set as 130,000 Nm3/h, and the maximum production was 90 t/h. The reactor length and the mole ratio x（O）： x（CH4） were depended on the actual industrial situations.     

英国8年级教材“数学功能性技能”的内容及其评价

本文就英国新版8年级教材中的“数学功能性技能”的内容进行介绍,提出了对我国教材编写的几点借鉴:即关注生活主题的联系性,关注学生的数学思考过程,有具体的数学内容要求,以及评价标准的可操作性.     

基于数学文化观的高等数学教学模式研究

许多教育工作者对高等数学教学模式进行了大量的探索和研究。但对于高等数学教育人们只重视其工具性价值,而忽略了数学的文化教育价值;本研究就是要把高等数学教育提高到数学文化教育的层面,不仅重视数学知识的传授、数学技能的训练、数学能力的培养,而且使数学文化与数学教育相结合,最终目的是提高学生数学素养,为学生的终身学习和可持续发展奠定良好的基础。     

浅谈数学创造性思维能力的培养

本文阐述了创造性思维的概念,揭示了数学创造性思维的基本特征,从开发学生智力、引导学生探索和实践环境等方面,提出了培养学生创造性思维能力的途径和方法.     

生产企业库存批量的数学模型及稳定性的分析

本文给出了库存批量的数学模型,利用弹性理论对该模型进行了稳定性的分析,指出该数学模型具有较好的稳定性.