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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19338512 |
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Table of Contents:
- <p>We introduce dimination, a binary operation defined as repeated subtraction, stand-<br>ing in the same relationship to subtraction as multiplication stands to addition. We<br>show that this operation, combined with a two-axis geometric notation, provides a<br>more intuitive and logically transparent foundation for complex numbers — replacing<br>the historically confusing imaginary unit i with a natural coordinate system of two<br>perpendicular axes, each governed by its own operation pair. We verify that this rein-<br>terpretation is mathematically equivalent to standard complex arithmetic across all<br>major applications, while offering improved pedagogical clarity. The conjugate oper-<br>ation, rotation, Euler’s formula, division, and signal processing all emerge naturally<br>from this framework without appeal to imaginary quantities.</p>