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itcharge avatar itcharge commented on June 16, 2024 1

image 您好 这里为什么成立? logn这里的底数是10 如果用换底公式的话不应该是log_2 n / log_2 10 嘛

您好,这里原文中的公式写反了,改正后应该是 $\log_2 n = k \times \log n$,$k ≈ 3.322$。
感谢指正,文中已修复。

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bbkxm avatar bbkxm commented on June 16, 2024

image 您好 这里为什么成立? logn这里的底数是10 如果用换底公式的话不应该是log_2 n / log_2 10 嘛

log₂ 10 ≈ 3.3223 ,1/log₂ 10 ≈ 0.301和k=3.322,差别也不大。loga n和logb n只有一个常数因子不同,这个因子在大O记法中被丢弃。因此记作O(log n),而不论对数的底是多少,是对数时间算法的标准记法

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