代数和的等价无穷小代换
Equivalent Replacement of Algebraic Sum of Infinitesimals
蔡前凤 1杨淑伶1
作者信息
- 1. 广东工业大学数学与统计学院,广东广州 510090
- 折叠
摘要
本文通过讨论无穷小代数和的阶数,获得了代数和运算能够使用等价无穷小代换的条件,并推广到商运算和幂指结构.最后用几个实例验证了结论的有效性.
Abstract
In this paper,we derive the conditions for the equivalence of infinitesimal replacements when a function is the algebraic sum of infinitesimals.This concept is then extended to include operations invol-ving quotients and power exponent structures.Examples are provided to demonstrate the validity of these conclusions.
关键词
无穷小的阶数/等价无穷小/极限Key words
infinitesimal order/equivalence infinitesimal/limit引用本文复制引用
基金项目
广东省本科高校教学质量与教学改革工程建设项目(211220157/1130)
出版年
2024
NETL
NSTL
万方数据