Algernon
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Registered User
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8h |
awarded | ● Commentator |
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8h |
awarded | ● Critic |
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2d |
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Probability $k$ bins are non-empty. @Dustin: The variables $B_i$ are not independent: $B_1,B_2,\ldots,B_{i-1}$ contain information about the distribution of the balls, which can be used to predict $B_i$. Consider, for example, the case $m=2$ and $N$ large. If we know that $B_1=0$, it means that the balls are all in one bin, increasing the chance of $B_2=0$ from $\sim 0$ to $1/2$. |
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May 18 |
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Random walk on the hypercube Not quite sure if I get it. Are you assuming that the question has a solution for the given x? |
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May 17 |
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Is there any proof that you feel you do not “understand”? ... and you are of course right about the name of the wise fellow. I often make a point of not mentioning the names when quoting wise men, as big names have a tendency to bias our personal opinions. |
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May 17 |
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Is there any proof that you feel you do not “understand”? @Amir: Absolutely. I just mentioned the quote as a funny reflection on how we understand things. I don't even completely agree with it myself. Human mind works with making associations, and it is the network of associations that we call understanding. We do get used to things, but in a highly selective fashion, highlighting the relevant connections and forgetting the rest. |
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May 17 |
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Is there any proof that you feel you do not “understand”? "In mathematics you don't understand things. You just get used to them." -- some wise fellow |
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May 10 |
answered | Variational Principle for the Entropy |
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Apr 26 |
awarded | ● Nice Answer |
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Apr 25 |
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Is rigour just a ritual that most mathematicians wish to get rid of if they could? @Misha: Thanks for the comment. I updated my answer to elaborate the connection to OP's question. I also added reference to the relevant part in Arnold's article. |
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Apr 25 |
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Is rigour just a ritual that most mathematicians wish to get rid of if they could? update + page reference |
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Apr 25 |
answered | Is rigour just a ritual that most mathematicians wish to get rid of if they could? |
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Mar 30 |
answered | compute the waiting time for a given pattern with Kac’s lemma |
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Mar 20 |
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Is this probabilistic principle for stochastic processes known? What is the meaning of the condition $B_i=s$ if $B_i$ is Boolean? |
