微积分 让数据说话  

Calculus:Data’s Apology

作　　者：林群[1] 

机构地区：[1]中国科学院数学与系统科学研究院

出　　处：《数学教育学报》2013年第5期1-3,共3页Journal of Mathematics Education

基　　金：国家自然科学基金(11031006)

摘　　要：微积分统一到一个哲学公式，但有定量的比例：相对真理/绝对真理=0．9．Abstract： Calculus can be unified by a philosophical formula with a quantitative ratio：Relative truth/Absolute truth=0.9. Why？ Becausecalculus is attributed to computing the heights of curves （See the figure 4 in the paper）, where a small triangle （Relative truth）replaces a small curved triangle （Absolute truth）, and the ratio,Relative truth/Absolute truth=0.9, is used to measure the local error. This procedureto measure the global error. We can observe whether the ratio is closer and closer to I （It just means whether Relative truth coincides with Absolute truth）. From the experimental data, we found：

关 键 词：微积分 相对真理 绝对真理 比例 0 9 

分 类 号：G40-03[文化科学—教育学原理]