Family: simultaneous-pell — Simultaneous Pell equations - #39
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One family: **Simultaneous Pell equations** (`simultaneous-pell`) — P2, effective. - Standard form: `x^2 - a*z^2 = 1, y^2 - b*z^2 = 1` - Parent: `pell-like` Contents: the registry entry and its `docs/FAMILIES.md` section. References cited (the claim each one supports): - `Anglin1996` — practical algorithm for simultaneous Pell systems - `Bennett1998` — sharp bound (at most three) on the number of solutions Independent of every other family PR: it needs only the registry backbone it is based on. Part of the series that splits #1 into reviewable pieces: 1. `01-bibliography` — packaging, docs, annotated bibliography 2. `02-parsing` — equation strings to a term model 3. `03-registry` — the YAML family registry (3 seed families) 4. `04-matchers` — shape recognizers 5. `05-classify` — the classification pipeline 6. `06-solvers` — solver framework, two seed solvers, and the CLI 7. `07..09-backbone` — the 23 parent families of the DAG, by depth 8. one PR per remaining family (38 of them, mutually independent) 9. `99-polish` — restore the full doctests and tighten the invariants
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One family: Simultaneous Pell equations (
simultaneous-pell) — P2, effective.x^2 - a*z^2 = 1, y^2 - b*z^2 = 1pell-likeContents: the registry entry and its
docs/FAMILIES.mdsection.References cited (the claim each one supports):
Anglin1996— practical algorithm for simultaneous Pell systemsBennett1998— sharp bound (at most three) on the number of solutionsIndependent of every other family PR: it needs only the registry backbone it is based on.
Part of the series that splits #1 into reviewable pieces:
01-bibliography— packaging, docs, annotated bibliography02-parsing— equation strings to a term model03-registry— the YAML family registry (3 seed families)04-matchers— shape recognizers05-classify— the classification pipeline06-solvers— solver framework, two seed solvers, and the CLI07..09-backbone— the 23 parent families of the DAG, by depth99-polish— restore the full doctests and tighten the invariants