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Recently I've been reading a draft version of a book by Jiří Matoušek. The book seems to take problems that are combinatorial or algorithmic in nature and solves them ...

Let \(L_1, L_2, L_3, \ldots\) be a sequence of regular languages. Which of the following statements must be true?

\([1]\) The language \(\displaystyle\bigcap_{i=1}^{2017} L_i\) is always ...

This set is an archive of notes I wrote and posted on Brilliant. Most of these revolve around things that ...

From Math With Bad Drawings.

As 2015 comes to an end, here are some new year's resolutions for mathematicians.

What are your new year's resolutions? Share them in ...

\[\begin{eqnarray} p(x)&=&51x^2+mx+c \\ q(x)&=&3x^2+bx+a \end{eqnarray}\]

\(p(x)\) and \(q(x)\) are two quadratic polynomials with integer coefficients ...

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