Look, Knave
| Autor: | Morrill, Thomas |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Bull. Aust. Math. Soc. 103 (2021) 210-217 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1017/S0004972720000659 |
| Popis: | We examine a recursive sequence in which $s_n$ is a literal description of what the binary expansion of the previous term $s_{n-1}$ is not. By adapting a technique of Conway, we determine limiting behaviour of $\{s_n\}$ and dynamics of a related self-map of $2^{\mathbb{N}}$. Our main result is the existence and uniqueness of a pair of binary sequences, each the compliment-description of the other. We also take every opportunity to make puns. |
| Databáze: | arXiv |
| Externí odkaz: |
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