Dahn Jahn
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 May 28 comment Strings in a dictionary. A partial order, strict order, and total order? Hint: What is the relation between the words "cat" and "dog"? May 11 awarded Necromancer May 11 comment Machine Learning and Probability/Stochastics The lack of activity on this question, however, does not :( May 8 awarded Inquisitive May 7 comment Machine Learning and Probability/Stochastics @user237393 thank you! This looks really promising! Makes me quite hopeful in joining these two. May 7 asked Machine Learning and Probability/Stochastics May 3 asked Interpretation of $\sigma$-algebra and filtrations (follow-up question) Apr 18 awarded Benefactor Apr 12 awarded Promoter Apr 12 comment Limit w/o L'hopital @black multiply the fraction by $$\frac{\sqrt x + \sqrt c}{\sqrt x + \sqrt c}$$ Apr 7 comment $P^n$ transition matrix of a Markov chain Not sure what you're asking right now. Maybe this will help: $P^n$ actually is the $n$-th power of the transition matrix $P$, only I am trying to get to it through a combinatorial argument, rather than attempting to multiply the matrix $n$-times. Apr 7 comment $P^n$ transition matrix of a Markov chain If I stay in state $2$, it means I put a ball inside one of the two boxes which were already nonempty, thus I changed nothing about the number of nonempty boxes and the transition to state $3$ still has the same probability. (Also: It is a homogenous Markov chain) Apr 7 comment $P^n$ transition matrix of a Markov chain To add to how $P$ was constructed: the first row, for example, says that with probability $1$ we'll go from state zero to state $1$ - that is, the ball has to be put somewhere, thus making one box nonempty. The second row says that we might hit the one nonempty box with probability $\frac 1k$ or an empty one with probability $\frac {k-1}{k}$ Apr 7 revised $P^n$ transition matrix of a Markov chain added 155 characters in body Apr 7 comment $P^n$ transition matrix of a Markov chain Sorry, will try to add details to clarify. Apr 7 asked $P^n$ transition matrix of a Markov chain Apr 6 accepted Find the inner product under which is the following base orthonormal Apr 6 comment Proving completeness of $L^p$ @Potato I was not aware of the definition, nor do I see the need for such definition, Am I missing something, or is this perhaps not needed if you start with the measure theoretic definition of $L^p$? Apr 6 comment Proving completeness of $L^p$ The measure theoretic definition: $$L^p(X,\mu):=\{f:X\to\mathbb R:\ \|f\|_{L^p}<\infty\},$$ Apr 6 revised Proving completeness of $L^p$ edited tags