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Family: norm-form — Norm form equation - #31

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Family: norm-form — Norm form equation#31
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@roed-math roed-math commented Aug 8, 2026

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One family: Norm form equation (norm-form) — P2, partial.

  • Standard form: N_{K/QQ}(x_1*w_1 + ... + x_k*w_k) = m
  • Parent: decomposable-form

Contents: the registry entry and its docs/FAMILIES.md section.

References cited (the claim each one supports):

  • Schmidt1972 — finiteness for nondegenerate norm form equations via the subspace theorem
  • FinckePohst1985 — the enumeration algorithm behind NormEquation and bnfisintnorm

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

@roed-math roed-math mentioned this pull request Aug 8, 2026
@roed-math
roed-math force-pushed the split/09-backbone-deep branch from 082df89 to 35fcb63 Compare August 8, 2026 16:12
@roed-math
roed-math force-pushed the split/09-backbone-deep branch from 35fcb63 to ece9c70 Compare August 9, 2026 02:43
@roed-math
roed-math force-pushed the split/09-backbone-deep branch from ece9c70 to 6175904 Compare August 9, 2026 05:01
@roed-math
roed-math force-pushed the split/09-backbone-deep branch from 6175904 to 529528f Compare August 9, 2026 05:21
@roed-math
roed-math force-pushed the split/09-backbone-deep branch from 529528f to 8c5cfc8 Compare August 9, 2026 08:24
One family: **Norm form equation** (`norm-form`) — P2, partial.

- Standard form: `N_{K/QQ}(x_1*w_1 + ... + x_k*w_k) = m`
- Parent: `decomposable-form`

Contents: the registry entry and its `docs/FAMILIES.md` section.

References cited (the claim each one supports):

- `Schmidt1972` — finiteness for nondegenerate norm form equations via the subspace theorem
- `FinckePohst1985` — the enumeration algorithm behind NormEquation and bnfisintnorm

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
@roed-math
roed-math force-pushed the split/09-backbone-deep branch from 8c5cfc8 to d767c69 Compare August 9, 2026 20:35
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