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Apr 5, 2022 at 8:52 comment added Jojo I thought the point was that, $Y$ is more spread out than $X$. This means that when we sample from $X$ we know more about what result we're going to get (ie. it will likely be closer to the mean value) than when we sample from $Y$. Hence sampling from $Y$ gives more information, as we knew less about what we'd get prior to sampling
Apr 5, 2022 at 8:47 answer added The_Sympathizer timeline score: 18
Apr 5, 2022 at 5:50 history became hot network question
Apr 5, 2022 at 2:40 comment added Buzz 1) Gian-Carlo Rota frequently pointed out that addressing this kind of behavior for the entropy of continuous probability distributions was one of the biggest outstanding problems in applied mathematics. 2) For the entropy of physical systems, like gasses, it turns out that a factor of $\hbar$ shows up seemingly out of nowhere to fix the problem.
Apr 5, 2022 at 1:50 answer added Paul Siegel timeline score: 21
S Apr 4, 2022 at 21:50 review First questions
Apr 5, 2022 at 2:08
S Apr 4, 2022 at 21:50 history asked Icarus CC BY-SA 4.0