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单词 Exchange theorem
释义

Exchange theorem

英语百科

Steinitz exchange lemma

(重定向自Exchange theorem)

The Steinitz exchange lemma is a basic theorem in linear algebra used, for example, to show that any two bases for a finite-dimensional vector space have the same number of elements. The result is named after the German mathematician Ernst Steinitz. The result is often called the Steinitz–Mac Lane exchange lemma, also recognizing the generalization by Saunders Mac Lane of Steinitz's lemma to matroids.

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更新时间:2025/6/21 22:35:35