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mikespivey.wordpress.com | ||
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dominiczypen.wordpress.com
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| | | | | Motivation. I stumbled over the following hypergraph coloring concept when reading about an old (and open) problem by Erdos and Lovasz. Let $latex H=(V,E)$ be a hypergraph such that for all $latex e\in E$ we have $latex |e| > 1$, and let $latex Z \neq \emptyset$ be a set. Then a map $latex c:V\to Z$... | |
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mmph.wordpress.com
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| | | | | The recent post on cloud computing and Google Docs made me ask myself whether Google Docs supports (La)TeX. It turned out you can insert LaTeX equations into your Google doc (as discussed in more detail e.g. here) but that's that for now. There exists a LaTeX Lab project aspiring to develop a web-based LaTeX editor... | |
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ckrao.wordpress.com
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| | | | | In this post I would like to prove the following identity, motivated by this tweet. $latex \displaystyle n! \prod_{k=0}^n \frac{1}{x+k} = \frac{1}{x\binom{x+n}{n}} = \sum_{k=0}^n \frac{(-1)^k \binom{n}{k}}{x+k}$ The first of these equalities is straightforward by the definition of binomial coefficients. To prove the second, we make use of partial fractions. We write the expansion $latex \displaystyle... | |
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rapuran.wordpress.com
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