Translations and extensions of the Nicomachus identity
We search for Nicomachean identities by adding translation parameters, variable parameters, sequence products and adjoining further numbers to sequences. The solutions of definite and indefinite quadratic forms arise in this study of cubic equations obtained from translation parameters. Our search l...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We search for Nicomachean identities by adding translation parameters,
variable parameters, sequence products and adjoining further numbers to
sequences. The solutions of definite and indefinite quadratic forms arise in
this study of cubic equations obtained from translation parameters. Our search
leads to many general Nicomachean-type identities. We also study the geometry
of adjoining two numbers to sequences satisfying the Nicomachean identity. |
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| DOI: | 10.48550/arxiv.2306.17402 |