Unifying Aspects of Generalized Calculus
Non-Newtonian calculus naturally unifies various ideas that have occurred over the years in the field of generalized thermostatistics, or in the borderland between classical and quantum information theory. The formalism, being very general, is as simple as the calculus we know from undergraduate cou...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-10-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/10/1180 |
| _version_ | 1797550435903471616 |
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| author | Marek Czachor |
| author_facet | Marek Czachor |
| author_sort | Marek Czachor |
| collection | DOAJ |
| description | Non-Newtonian calculus naturally unifies various ideas that have occurred over the years in the field of generalized thermostatistics, or in the borderland between classical and quantum information theory. The formalism, being very general, is as simple as the calculus we know from undergraduate courses of mathematics. Its theoretical potential is huge, and yet it remains unknown or unappreciated. |
| first_indexed | 2024-03-10T15:29:15Z |
| format | Article |
| id | doaj.art-15372e19fcdf42dba0c23a7870620269 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T15:29:15Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-15372e19fcdf42dba0c23a78706202692023-11-20T17:43:53ZengMDPI AGEntropy1099-43002020-10-012210118010.3390/e22101180Unifying Aspects of Generalized CalculusMarek Czachor0Wydział Fizyki Technicznej i Matematyki Stosowanej, Politechnika Gdańska, 80-233 Gdańsk, PolandNon-Newtonian calculus naturally unifies various ideas that have occurred over the years in the field of generalized thermostatistics, or in the borderland between classical and quantum information theory. The formalism, being very general, is as simple as the calculus we know from undergraduate courses of mathematics. Its theoretical potential is huge, and yet it remains unknown or unappreciated.https://www.mdpi.com/1099-4300/22/10/1180non-Newtonian calculusnon-Diophantine arithmeticKolmogorov–Nagumo averagesescort probabilitiesgeneralized entropies |
| spellingShingle | Marek Czachor Unifying Aspects of Generalized Calculus Entropy non-Newtonian calculus non-Diophantine arithmetic Kolmogorov–Nagumo averages escort probabilities generalized entropies |
| title | Unifying Aspects of Generalized Calculus |
| title_full | Unifying Aspects of Generalized Calculus |
| title_fullStr | Unifying Aspects of Generalized Calculus |
| title_full_unstemmed | Unifying Aspects of Generalized Calculus |
| title_short | Unifying Aspects of Generalized Calculus |
| title_sort | unifying aspects of generalized calculus |
| topic | non-Newtonian calculus non-Diophantine arithmetic Kolmogorov–Nagumo averages escort probabilities generalized entropies |
| url | https://www.mdpi.com/1099-4300/22/10/1180 |
| work_keys_str_mv | AT marekczachor unifyingaspectsofgeneralizedcalculus |