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EnglishHere we will show that the q-integers, the q-analogue of the integers that we can findin the q-calculus, are forming an additive group having a generalized sum similar to the sum ofthe Tsallis q-entropies of independent systems. The symmetric form of q-integers will bestudied too. We will see that these numbers are linked to the Kaniadakis \kappa-calculus. Inthe article, a final discussion will be devoted to the link of the q-integers to the Mersennenumbers. Besides the discussion of the previously mentioned numbers, the general aim of thepaper is that of popularizing the existence of the q-calculus.
The q-Integers And The Mersenne Numbers / Sparavigna, Amelia Carolina. - ELETTRONICO. - (2018).
| Titolo: | The q-Integers And The Mersenne Numbers |
| Autori: | |
| Data di pubblicazione: | 2018 |
| Abstract: | Here we will show that the q-integers, the q-analogue of the integers that we can findin the q-calculus, are forming an additive group having a generalized sum similar to the sum ofthe Tsallis q-entropies of independent systems. The symmetric form of q-integers will bestudied too. We will see that these numbers are linked to the Kaniadakis \kappa-calculus. Inthe article, a final discussion will be devoted to the link of the q-integers to the Mersennenumbers. Besides the discussion of the previously mentioned numbers, the general aim of thepaper is that of popularizing the existence of the q-calculus. |
| Appare nelle tipologie: | 5.12 Altro |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| q-integers and Mersenne - Zenodo (1).pdf | 1. Preprint / Submitted Version |  | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2708506
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