对极小极大定理的再认识

IF 0.4 4区数学 Q4 MATHEMATICS

American Mathematical Monthly Pub Date : 2022-12-16 DOI:10.1080/00029890.2022.2144085

M. I. Schlesinger, V. Krygin

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引用次数: 1

摘要

摘要本文给出极大极小定理的一个新的证明。它的新颖之处在于它只使用了工程师必修数学教育范围内的基本概念。极大极小定理有许多应用，其中许多应用并不明显。因此，使用这些应用程序不仅要基于对极大极小定理的信念，而且要基于对它的透明理解，而不需要更复杂的概念。本文的读者是向非数学家讲授凸分析的数学家。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Minimax Theorem Revisited

Abstract The article presents a new proof of the minimax theorem. Its novelty is that it uses only elementary concepts within the scope of obligatory mathematical education of engineers. The minimax theorem results in numerous applications and many of them are far from being obvious. Hence the use of such applications has to be based not only on belief in the minimax theorem, but on a transparent understanding of it without need of more complicated concepts. The audience for this article is mathematicians who lecture on convex analysis to nonmathematicians.

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来源期刊

American Mathematical Monthly Mathematics-General Mathematics

CiteScore

0.80

自引率

20.00%

发文量

127

审稿时长

6-12 weeks

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