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@ThomasLau
Created August 12, 2017 07:16
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zz from newsmth e进制是信息表示的最优解
先考虑最优的定义
假定总共有n位,每位m个状态,m*n=v
在v一定时,使得m^n最大
也就是k(n)=(v/n)^n最大
考虑一般情况下
ln(k(n))=(ln(v)-ln(n))*n=ln(v)*n - ln(n)*n
对n求导 ln(v) - (n*1/n + ln(n)) = ln(v) - 1 - ln(n)
解得ln(n)=ln(v)-1是k(n)唯一的极值点
易知是k(n)最大值点
所以n=v/e m=e时,k(n)最大
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