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    Reviews

    Relatively Prime Recap: Season 2, Episode 1: The Lexicon

    By Colin Beveridge. Posted January 8, 2016

    I’ve been waiting for the new season of Relatively Prime for more than three years. I’ve listened to Chinook, the highlight of Season 1, countless times since then. And finally, finally, it’s arrived in my podcast feed. Woo, and for that matter, hoo!

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    Travels in a Mathematical World

    PhD proposal in maths/engineering higher education

    By Peter Rowlett. Posted January 7, 2016

    My university is advertising 30 fully funded PhD scholarships for autumn 2016. Basically, there are a list of projects and which ones get funded depends on applications. I am lead on a proposal for a topic in maths/engineering higher education. The description is below, and I would be grateful if you could bring it to…

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    News

    Particularly mathematical New Years Honours 2016

    By Peter Rowlett. Posted December 31, 2015

    Once again, it’s time for our traditional trawl through the New Years Honours list for mentions of “mathematics”, hoping that better-informed readers will fill in the people this crude method has missed. I’ve found the following names: Steve Humble (Dr Maths) awarded MBE for services to Education (via Garrod Musto on Twitter); Lynn Churchman of…

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    Videos

    The 12 Days of Christmas and Pascal’s Triangle

    By Christian Lawson-Perfect. Posted December 26, 2015

    Reader Marc Chamberlain sent this video in a bit too late to get in our advent calendar, but it’s about the 12 days of Christmas so we’re still cool, right?

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    Aperiodvent

    Aperiodvent, Day 24: Tree Stump Dodecahedron

    By Katie Steckles. Posted December 24, 2015

    Looking for something to do with your Christmas tree, when it gets to twelfth night? Here’s an idea: cut it into a beautiful platonic solid. Follow these step-by-step instructions from Dan Beyer. This the last entry in the Aperiodical Advent Calendar. We hope you’ve enjoyed it, and we wish you and yours a wonderful holiday season. See…

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    Aperiodvent

    Aperiodvent, Day 23: The Robin-Lagarias Theorem

    By Katie Steckles. Posted December 23, 2015

    Today’s entry is a Theorem of the Day: The Robin-Lagarias Theorem: Let $H_n$ denote the n-th harmonic number $\sum_{i=1}^n \frac{1}{i}$ , and let $\sigma(n)$ denote the divisor function $\sum_{d \vert n} d$. Then the Riemann Hypothesis is equivalent to the statement that, for $n \geq 1$, $\sigma(n) \leq H_n + \ln(H_n) e^{H_n}$ . While this…

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    Aperiodvent

    Aperiodvent, Day 22: Gingerbreadman map cookies

    By Katie Steckles. Posted December 22, 2015

    The Gingerbreadman Map is a two-dimensional piecewise linear map, defined by: \begin{align} x_{n+1} &= 1 – y_n + \lvert x_n \rvert \\ y_{n+1} &= x_n \end{align} The region in which the map is chaotic looks like a gingerbread man! In true festive spirit, one blogger has baked some cookies in the shape of the gingerbread…

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