Sunday, January 12, 2014
Infinity Entropy
What would be a good example of an infinite entropy ? Let
p(x)=1Axlog2xwhere A=∑x1xlog2x |
H(X)=−∑xp(x)logp(x)=−∑x1Axlog2xlog1Axlog2x=∑xlog(Axlog2x)Axlog2x=∑x[logAAxlog2x+logxAxlog2x+loglog2xAxlog2x]=∑x[logAAxlog2x+1Axlogx+loglog2xAxlog2x] |
Source: math.stackexchange.com.