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Some representations of real numbers using integer sequences
| Content Provider | Hyper Articles en Ligne (HAL) |
|---|---|
| Author | Mazo, Loïc Jacob-da Col, Marie-Andrée Fuchs, Laurent Magaud, Nicolas Largeteau-Skapin, Gaëlle |
| Copyright Year | 2022 |
| Abstract | The paper describes three models of the real field based on subsets of the integer sequences. The three models are compared to the Harthong-Reeb line. Two of the new models, contrary to the Harthong-Reeb line, provide accurate integer "views" on real numbers at a sequence of growing scales B^n (B ≥ 2). |
| Related Links | https://hal.science/hal-03276295v2/file/MSCS-2021-039-R2_HAL.pdf |
| ISSN | 09601295 |
| e-ISSN | 14698072 |
| DOI | 10.1017/S0960129522000342 |
| Journal | Mathematical Structures in Computer Science |
| Issue Number | 5 |
| Volume Number | 32 |
| Language | English |
| Publisher | HAL CCSD Cambridge University Press (CUP) |
| Publisher Date | 2022-05-01 |
| Access Restriction | Open |
| Subject Keyword | Constructive mathematics Real arithmetic Stream of integers Arithmetization Computer Science [cs] Computer Arithmetic |
| Content Type | Text |
| Resource Type | Article |
| Subject | Medicine Mathematics Computer Science Applications |