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totallydisconnected.wordpress.com
| | mathematicaloddsandends.wordpress.com
3.2 parsecs away

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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...
| | dominiczypen.wordpress.com
3.2 parsecs away

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| | Suppose you want to have a graph $latex G = (V,E)$ with chromatic number $latex \chi(G)$ equaling some value $latex k$, such that $latex G$ is minimal with this property. So you end up with a $latex k$-(vertex-)critical graph. It is easy to construct critical graphs by starting with some easy-to-verify example like $latex C_5$...
| | mikespivey.wordpress.com
3.1 parsecs away

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| | It's fairly well-known, to those who know it, that $latex \displaystyle \left(\sum_{k=1}^n k \right)^2 = \frac{n^2(n+1)^2}{4} = \sum_{k=1}^n k^3 $. In other words, the square of the sum of the first n positive integers equals the sum of the cubes of the first n positive integers. It's probably less well-known that a similar relationship holds...
| | zaries.wordpress.com
5.0 parsecs away

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| Since 2007 when I started using Ubuntu I have been doing upgrades to the latest version a month before the release. Yes I am a sucker for pain. After the upgrade to 19.04 today I had issues loading projects that used cl-ssl getting the following error: Unable to load any of the alternatives: ("libssl.so.1.0.2m" "libssl.so.1.0.2k"...