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junglyhh.wordpress.com | ||
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dominiczypen.wordpress.com
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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 $latex C_5$... | |
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alanrendall.wordpress.com
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| | | | | In a previous post I discussed the Brouwer fixed point theorem and I mentioned the fact that it applies to any non-empty closed bounded convex subset of a Euclidean space, since a subset of this kind is homeomorphic to a closed ball in a Euclidean space. However I did not prove the latter statement. I... | |
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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... | |
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loseringbook.wordpress.com
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| | | Following last weekend's Texas Book Festival triumph, the next "Comin' Right at Ya" event happens Wednesday evening (Oct. 21) at the closest thing I have to a home court, Quail Ridge Books & Music in Raleigh. We even got a nice preview blurb about it from the local weekly. Alas, I'm afraid it will be... | ||
