Formal Mathematical Framework of a Modular Reduction Process via Digital Root: Applied Perspectives and Practical Implications (V3)
Fuente:
Zenodo
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Recurso digital |
| Langue: | anglais |
| Publié: |
Zenodo
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866902181237489664 |
|---|---|
| author | Esposito, Andrea |
| author_facet | Esposito, Andrea |
| contents | <p>This third version (V3) explores the potential applications of the arithmetic function F(n) = n mod dr(n), previously formalized and analyzed in its structural properties.</p> <p>While not intended to replace established tools in specific domains, the function exhibits computational simplicity and structural characteristics that make it suitable as a component in various applied contexts.</p> <p>In particular, possible uses are identified in value space reduction, preliminary consistency checks, data partitioning, embedded systems, machine learning preprocessing, and real-time data processing.</p> <p>The analysis focuses on realistic and technically consistent scenarios, ensuring that all proposed applications remain compatible with the mathematical properties established in previous versions.</p> <p>Note: The core idea and underlying mechanism presented in this work were developed independently by the author. The mathematical formalization was refined with the support of assistive tools.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19162394 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Formal Mathematical Framework of a Modular Reduction Process via Digital Root: Applied Perspectives and Practical Implications (V3) Esposito, Andrea digital root modular arithmetic arithmetic functions data preprocessing dimensionality reduction embedded systems real-time processing data partitioning <p>This third version (V3) explores the potential applications of the arithmetic function F(n) = n mod dr(n), previously formalized and analyzed in its structural properties.</p> <p>While not intended to replace established tools in specific domains, the function exhibits computational simplicity and structural characteristics that make it suitable as a component in various applied contexts.</p> <p>In particular, possible uses are identified in value space reduction, preliminary consistency checks, data partitioning, embedded systems, machine learning preprocessing, and real-time data processing.</p> <p>The analysis focuses on realistic and technically consistent scenarios, ensuring that all proposed applications remain compatible with the mathematical properties established in previous versions.</p> <p>Note: The core idea and underlying mechanism presented in this work were developed independently by the author. The mathematical formalization was refined with the support of assistive tools.</p> |
| title | Formal Mathematical Framework of a Modular Reduction Process via Digital Root: Applied Perspectives and Practical Implications (V3) |
| topic | digital root modular arithmetic arithmetic functions data preprocessing dimensionality reduction embedded systems real-time processing data partitioning |
| url | https://doi.org/10.5281/zenodo.19162394 |