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diffxweyl.wordpress.com
| | mathematicaloddsandends.wordpress.com
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| | The function $latex f(x) = x \log x$ occurs in various places across math/statistics/machine learning (e.g. in the definition of entropy), and I thought I'd put a list of properties of the function here that I've found useful. Here is a plot of the function: $latex f$ is defined on $latex (0, \infty)$. The only...
| | mkatkov.wordpress.com
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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...
| | savagephysics.wordpress.com
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| | what is the "holographic principle"? Well, it is the result of an observation related to how one can encode information inside the... "universe"... where by "universe" I mean essentially spacetime. Let me start it in a different way: One of the finest and most complicated theories nowadays is... no, not string theory... it is Quantum...
| | watered-down-physics.blogspot.com
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| Ethan Siegel writes in Forbes magazine that, despite results at the Large Hadron Collider falling completely in line with the Standard Mod...