St. Denis Wave–Fold Transform (FURGT), For analyzing parts of the ABC equation
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| Natura: | Recurso digital |
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Zenodo
2026
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| _version_ | 1866901528121442304 |
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| author | St. Denis, Stanley T |
| author_facet | St. Denis, Stanley T |
| contents | <p>This paper introduces the <strong>St. Denis Wave–Fold Transform (FURGT)</strong>, a geometric framework that maps scalar ratios derived from integer triples into a bounded rotational coordinate space. Using a multi-wheel system with scaling anchors and a trigonometric–logarithmic transform, the framework produces a finite analytic ceiling and demonstrates monotonicity, multi-scale stability, and structural consistency. The system provides a tool for visualizing and classifying patterns in integer-derived data without making claims about arithmetic conjectures.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18806283 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | St. Denis Wave–Fold Transform (FURGT), For analyzing parts of the ABC equation St. Denis, Stanley T Rotational Embedding Multi-Scale Transform Integer Ratio Analysis Rotational Embedding Multi-Scale Transform Integer Ratio Analysis <p>This paper introduces the <strong>St. Denis Wave–Fold Transform (FURGT)</strong>, a geometric framework that maps scalar ratios derived from integer triples into a bounded rotational coordinate space. Using a multi-wheel system with scaling anchors and a trigonometric–logarithmic transform, the framework produces a finite analytic ceiling and demonstrates monotonicity, multi-scale stability, and structural consistency. The system provides a tool for visualizing and classifying patterns in integer-derived data without making claims about arithmetic conjectures.</p> |
| title | St. Denis Wave–Fold Transform (FURGT), For analyzing parts of the ABC equation |
| topic | Rotational Embedding Multi-Scale Transform Integer Ratio Analysis Rotational Embedding Multi-Scale Transform Integer Ratio Analysis |
| url | https://doi.org/10.5281/zenodo.18806283 |