集成技术2024，Vol.13Issue(2)：3-14,12.DOI:10.12146/j.issn.2095-3135.20230817001
纳皮尔对数的数学证明及精度分析
Proof of Napier's Log and Analysis of Precision
孙鹏 1王云鹏 1吴琼 1宋德王 1张小飞 2杜娟 2斯白露 3李慧云4
作者信息
- 1. 百度自动驾驶技术部 北京 100085
- 2. 百度技术管理部 北京 100085
- 3. 北京师范大学系统科学学院 北京 100875
- 4. 中国科学院深圳先进技术研究院 深圳 518055
- 折叠
摘要
Abstract
In the automatic driving systems,logarithm function has been widely used.For example,logarithm function is often used to design loss function in deep learning or convolutional neural network,which serves as the basis for the automatic driving perception system.Therefore,studying the history of invention of logarithm is of great significance to master the concept and application.This paper studies the definition of Napier's logarithm and his three tables,analyzes two kinds of proof methods of predecessors,and puts forward new proof methods based on the exponential function.Meanwhile,this paper also analyzes Napier's calculation method.Compared with other alternative methods,the optimization results of Napier's interval approximation are given.The calculation by MPRF library shows that Napier's method is more convergent to the true value.关键词
科学史/纳皮尔/对数/自动驾驶/深度学习Key words
history of science/Napier/logarithm/autonomous driving/deep learning分类
信息技术与安全科学引用本文复制引用
孙鹏,王云鹏,吴琼,宋德王,张小飞,杜娟,斯白露,李慧云..纳皮尔对数的数学证明及精度分析[J].集成技术,2024,13(2):3-14,12.
