Residual size versus root-location error
Compare residuals near simple and double roots at the same candidate locations to illustrate why a small residual can have different interpretations.
Proposed original example. Source release and any execution are separate steps.
How does a multiple root change the relationship between residual magnitude and distance to the known root?
The root is exactly one; record candidate distance and both analytical polynomial residuals on the fixed grid.
What you could produce
- A scoped observations JSON record and a comparison with the stated reference.
Before you use it
- Python 3.13 standard library
Limits to keep in view
- No research code was executed by the preparation tool.
- Author output cannot issue an independent scientific-verification result.
Source and permission context
Original local preparation by the Executable Science seed collection; upstream API references remain separately attributed.
Catalog listing reviewed. This review covers the description and source links displayed here.
Local draft title, collective byline, original summary, and proposed split terms reviewed.
Reviewed 2026-09-14. Copying or adapting source files remains subject to their own terms.
Before copying source material
- Proposed local-draft licenses: original code MIT, explanations CC-BY-4.0, synthetic numeric data CC0-1.0; publication/disclosure approval remains separate.