The Field Q and the Equality 0.999. . . = 1 from Combinatorics of Circular Words and History of Practical ArithmeticsCircular Words and History of Practical Arithmetics

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 circular words are naturally embedded with algebraic structures that enlight this problematic equality, allowing it to be con...

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Veröffentlicht in:The Montana Mathematics Enthusiast 2024-02, Vol.21 (1-2), p.3-34
Hauptverfasser: Rittaud, Benoît, Vivier, Laurent
Format: Artikel
Sprache:eng
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