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数学建模思想融入微积分课程中的两个教学插件
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作者 丁正中 《工程数学学报》 CSCD 北大核心 2005年第8期101-104,共4页
本文讨论了可融入微积分课程教学中的两个数学模型插件。第一个是研究市场调节下平衡价格的阻尼振荡模型,使用了二阶线性常系数微分方程的课程知识;第二个是在引进社会福利因素时商品的最优定价模型,使用了定积分和微分法的课程知识... 本文讨论了可融入微积分课程教学中的两个数学模型插件。第一个是研究市场调节下平衡价格的阻尼振荡模型,使用了二阶线性常系数微分方程的课程知识;第二个是在引进社会福利因素时商品的最优定价模型,使用了定积分和微分法的课程知识。在模型建立过程中,强调了建模假设的修改与完善技巧。 展开更多
关键词 数学型插件 常微分方程 定积分 建模假设
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Understanding the evolution of learning by explicitly modeling learning mechanisms 被引量:1
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作者 Michal ARBILLY 《Current Zoology》 SCIE CAS CSCD 2015年第2期341-349,共9页
Models of the evolution of learning often assume that learning leads to the best solution to any task, and disregard the details of the learning and decision-making process along with its potential pitfalls. These mod... Models of the evolution of learning often assume that learning leads to the best solution to any task, and disregard the details of the learning and decision-making process along with its potential pitfalls. These models therefore do not explain in- stances in the animal behavior literature in which learning leads to maladaptive behaviors. In recent years a growing number of theoretical studies use explicit models of learning mechanisms, offering a fresh perspective on the issue by revealing the dynam- ics of information acquisition and biases arising from it. These models have pointed out possible learning rules and their adaptive value, and shown that the value of learning may crucially depend on such factors as the layout of the physical environment to be learned, the structure of the payoffs offered by different alternatives, the risk of failure, characteristics of the learner and social interactions. This review considers the merits of explicit modeling in studying the evolution of learning, describes the kinds of results that can only be obtained from this modeling approach, and outlines directions for future research . 展开更多
关键词 Agent-based simulation Learning bias Learning rule Decision rule COGNITION
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