Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Recurso digital |
| Dil: | İngilizce |
| Baskı/Yayın Bilgisi: |
Zenodo
2026
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| Konular: | |
| Online Erişim: | https://doi.org/10.5281/zenodo.18210405 |
| Etiketler: |
Etiketle
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İçindekiler:
- <p>This technical note reinterprets truncation errors and Gibbs phenomena arising in finite Fourier series as <strong>observable boundary fingerprints</strong>, rather than numerical artifacts to be eliminated.<br>By treating the Fourier band limit, the value of π, and spatial sampling as explicitly finite, boundary oscillations are shown to encode structural information about underlying update rules in discrete space-division models.</p> <p>The note defines a minimal set of boundary observables (overshoot amplitude, ringing energy, and effective boundary shift) and proposes an inversion workflow that classifies update-rule families without invoking continuum limits or infinite sums.<br>Residuals, non-convergent behavior, and finite-precision effects are preserved as first-class scientific records.</p> <p>This document is intended as a methodological and archival technical note, compatible with discrete physics, cellular automaton models, numerical simulation diagnostics, and space-division interpretations of physical laws.</p>