定義函數(shù)
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,其中
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表示不超過
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的最大整數(shù),如:
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,
當(dāng)
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時,設(shè)函數(shù)
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的值域?yàn)?i>A,記集合
A中的元素個數(shù)為
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,則
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=
解:根據(jù)題意:
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所以∴[x[x]]在各區(qū)間中的元素個數(shù)是:0,1,2,3,…,n-1
所以
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=
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