Catégorie : Math
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Schizo: a different sudoku solving technique
Over the years, several tips and techniques have been developed to help solve sudoku puzzles with logic rather than brute force. To name a few, sudoku9x9 mentions (among others) hidden single, naked single, x-wing.
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IMO 2019 Problem 1
An exercice with MathJax Problem 1: Let $\mathbb{Z}$ be the set of integers. Determine all functions $f : \mathbb{Z} \rightarrow \mathbb{Z}$ such that \begin{equation}\forall (a, b) \in \mathbb{Z} \times \mathbb{Z}, \quad f(2a) + 2 f(b) = f(f(a + b))\label{eq1}\end{equation}
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11n34 – not slice
Lisa Piccirillo from University of Texas, Austin, recently published a paper in the annals of mathematics solving a long-unsolved topology problem : the Conway knot (11n34 in the Rolfsen tables) is not slice.