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单词 Non standard analysis
释义

Non standard analysis

中文百科

非标准分析 Non-standard analysis

(重定向自Non standard analysis)
无穷们在一个实在不怎么标准的场地里插上队。
 Gottfried Wilhelm Leibniz argued that idealized numbers containing infinitesimals be introduced.

非标准分析(概念上又可称为实无限分析)是一个数学分支,它用严格定义的无限小的数(infinitesimal number)的概念来构建分析学。

英语百科

Non-standard analysis 非标准分析

(重定向自Non standard analysis)
 Gottfried Wilhelm Leibniz argued that idealized numbers containing infinitesimals be introduced.
无穷们在一个实在不怎么标准的场地里插上队。

The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard way to resolve these debates is to define the operations of calculus using epsilon–delta procedures rather than infinitesimals. Non-standard analysis instead reformulates the calculus using a logically rigorous notion of infinitesimal numbers.

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更新时间:2025/6/19 22:13:18