[数论] 任意子集的元素之和构成的集合

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hbghlyj posted 2020-12-13 11:58 |Read mode

|S|=n,$S\subseteq\mathbb N^+$,P是S的任意子集的元素之和构成的集合,求证:存在P的n个子集满足$P=\bigcup_{i=1}^nA_i$,且$\forall a,b\in A_i:a\le2b,b\le2a.$

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2025-7-23 10:06 GMT+8

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