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math.HO2022
Designing videos for undergraduate mathematics
Arij Bouzelmate, Benoît Rittaud
This article presents some technical and pedagogical considerations about a series of videos made by the authors to teach elementary theory of differential equations. Intended to b…
math.HO2022
The Field Q and the Equality 0.999 . . . = 1 from Combinatorics of Circular Words and History of Practical Arithmetics
Benoît Rittaud, Laurent Vivier
We reconsider the classical equality 0.999. .. = 1 with the tool of circular words, that is: finite words whose last letter is assumed to be followed by the first one. Such circula…
cs.DM2022
Fibonacci-like sequences for variants of the tower of Hanoi, and corresponding graphs and gray codes
Benoît Rittaud
We modify the rules of the classical Tower of Hanoi puzzle in a quite natural way to get the Fibonacci sequence involved in the optimal algorithm of resolution, and show some nice…