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组合证明
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组合证明
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计数组合学
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combinatorial proof
组合证明
组合数学中最常见的证明方法。组合证明打破以往代数证明的方式，通过双射工具形象给出问题的组合解释。因此，又被称为双射证明，是计数组合学中常见的一种证明方法。它在有限群理论、表示论、交换代数、代数几何以及代数拓扑学中有很重要的应用。具体来说，就是把待证明的问题或者等式两端记为集合和集合，分别给集合和集合一个合理的组合解释，通过一个一一映射证明集合和集合元素个数相等，进而解决问题。
Mathematics
＞组合数学、组合设计与图论＞组合数学＞释义
combinatorial proof
组合证明
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