Sign sequences of log-atomic numbers
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910343216758784 |
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| author | Bagayoko, Vincent |
| author_facet | Bagayoko, Vincent |
| contents | Log-atomic numbers are surreal numbers whose iterated logarithms are monomials, and consequently have a trivial expansion as transseries. Presenting surreal numbers as sign sequences, we give the sign sequence formula for log-atomic numbers. To that efect, we relate log-atomic numbers to fixed-points of certain surreal functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15800 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sign sequences of log-atomic numbers Bagayoko, Vincent Logic Log-atomic numbers are surreal numbers whose iterated logarithms are monomials, and consequently have a trivial expansion as transseries. Presenting surreal numbers as sign sequences, we give the sign sequence formula for log-atomic numbers. To that efect, we relate log-atomic numbers to fixed-points of certain surreal functions. |
| title | Sign sequences of log-atomic numbers |
| topic | Logic |
| url | https://arxiv.org/abs/2402.15800 |