作业帮英语翻译跪求专业的英文翻译 翻译一下一段话：在漫长的数学发展史上,数学家们首先建立了黎曼积分,但是由于黎曼积分在积分与极限交换问题上的条件太苛刻,因此数学家勒贝格基于可列可
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/30 06:40:42
英语翻译跪求专业的英文翻译 翻译一下一段话：在漫长的数学发展史上,数学家们首先建立了黎曼积分,但是由于黎曼积分在积分与极限交换问题上的条件太苛刻,因此数学家勒贝格基于可列可
英语翻译
跪求专业的英文翻译 翻译一下一段话：在漫长的数学发展史上,数学家们首先建立了黎曼积分,但是由于黎曼积分在积分与极限交换问题上的条件太苛刻,因此数学家勒贝格基于可列可加的测度成功引入勒贝格积分,其充实了可积函数的范围,使其成为了数学分析中不可缺少的工具,这有利于人们对于积分的研究以及探索,为了使大家更好的了解这些内容,本文从各个方面分析和解释了勒贝格积分与黎曼积分的区别与联系,并且从勒贝格积分的由来我们不难发现很多数学概念和思想就是从貌似相同的概念和思想中推导出来.这启发我们在做研究时应从不同角度来考虑一些现有概念和理论,有时可能导致新的概念和理论.
riemann calculus 黎曼积分 lebesgue calculus勒贝格积分
英语翻译跪求专业的英文翻译 翻译一下一段话：在漫长的数学发展史上,数学家们首先建立了黎曼积分,但是由于黎曼积分在积分与极限交换问题上的条件太苛刻,因此数学家勒贝格基于可列可
In the long history of mathematics, mathematicians first established the Riemann integral, but because of Riemann integral in the integral exchange issues with limit condition is too harsh, so the mathematicians lebesgue based on additive column can lebesgue integral, introduced the measure of success, it enrich the scope of integrable function, make it an indispensable to mathematical analysis tool, which is beneficial to people for the integration of research and exploration, in order to make people better understand the content, this article analysis from various aspects, and explains the difference and contact of Riemann integral and lebesgue integral, and from the origin of the lebesgue integral we is not hard to find a lot of math concepts and thinking is derived from the seemingly the same concepts and ideas This inspired when we do research from different angles to consider some existing concepts and theories, sometimes may lead to new concepts and theories