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nickhar.wordpress.com
| | mkatkov.wordpress.com
3.0 parsecs away

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| | For probability space $latex (\Omega, \mathcal{F}, \mathbb{P})$ with $latex A \in \mathcal{F}$ the indicator random variable $latex {\bf 1}_A : \Omega \rightarrow \mathbb{R} = \left\{ \begin{array}{cc} 1, & \omega \in A \\ 0, & \omega \notin A \end{array} \right.$ Than expected value of the indicator variable is the probability of the event $latex \omega \in...
| | junglyhh.wordpress.com
3.5 parsecs away

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| | Richard Lipton has an article on mathematical disease. My own definition of mathematical disease is quite similar: it must be simple in form, easily explainable to a non-specialist in a few minutes. Moreover, there should be more than one person exclaiming "how can such a problem be open?". Here I also list some problems I...
| | lucatrevisan.wordpress.com
3.3 parsecs away

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| | Today we will see how to use the analysis of the multiplicative weights algorithm in order to construct pseudorandom sets. The method will yield constructions that are optimal in terms of the size of the pseudorandom set, but not very efficient, although there is at least one case (getting an ``almost pairwise independent'' pseudorandom generator)...
| | nickdrozd.github.io
26.6 parsecs away

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| The goal of the Busy Beaver contest is to find n-state k-color Turing machine programs that run for as long as possible before halting. It's basically an optimization problem: what is the longest finite computation that can squeezed out of a program of a certain length? Or from the flip-side: how much description can be packed into a program of a certain length?