Contiguous research campaign · C1213–C1222 · 10 numbered records
Source changes through Rounded values and residuals
Whole-row source translations, stable totals versus shifted boundaries, rounding carries and exact lifted residual composition.
Part of the C1132–C1431 broader study sequence: Complete source-row grammar and C1431 connected explanation.
Campaign manifest (JSON) · Complete numbered records · All research sections
Related subjects: Rounded chronology · Regular & Cumulative
Reading route for researchers and AI readers
- Read the current explanation, then select the topic matching your question. A topic may join several separate research campaigns.
- Read the selected Start here documents before opening a complete numbered-record list. Follow their cited source editions and evidence links as needed.
- Use a campaign for one contiguous line of study; use a topic to find related work revisited across campaigns. The topic and campaign JSON lists contain links and edition hashes, not document bodies.
- Original numbered records retain their historical scope and source assumptions. Later corrections, accepted source decisions and the current synthesis govern the present account.
- If a subject is absent from the published Knowledge Catalog, consult Study documents and the source guide for supporting studies used or referenced in the C-series research.
Current explanation · Current Strategy review · Source guide and supporting studies · Source guide (Markdown) · Full source catalog (JSON)
Start here: selected leads
- C1218 — Lift source translations to Rounded values plus residualsResearch action · C1218.md
SHA-256011110284de3dfb0d6b488940c09399bba5bb50fa828eb62b31042ba23a84f42Download preserved edition · Document JSON - C1220 — Prove coherence of consecutive rounded-residual translationsResearch action · C1220.md
SHA-2568fbb6a865e3385fc1cb1cf827c0d71715e8a1e6d8567b0505cf1481d1be679f0Download preserved edition · Document JSON - C1222 — Write the source-change to Rounded-path synthesisResearch action · C1222.md
SHA-256b8e449c99dd837d42c86c0046856d5efd464fb59d597a6f6f7d37626bc98cdddDownload preserved edition · Document JSON
Complete numbered records
This list is for detailed inspection after the selected leads above. Each reading page preserves the original action and links its supporting evidence. The manifest supplies these links and edition hashes without copying document bodies.
- C1213 — Test row operations that translate by the five-year latticeDocument JSON · Download preserved record
SHA-2566c27c4540910261fcab2d2ff00dd2b6e8efab5fa69d805281440fab5930fa5bfLinked evidence (1)
- model/round_lattice_equivariance.jsonSHA-256
cd4cba7a1d4f52780ea7a1406c86691f7f48b8dbaefa232792e71ca96049ced1
- model/round_lattice_equivariance.jsonSHA-256
- C1214 — Compute the Rounded common-row change fieldDocument JSON · Download preserved record
SHA-25604a69b0e81323cec5371989afbc0ae8fdeadb6ee563a39af6a09df41c61bea37Linked evidence (1)
- model/whole_genealogy_rounded_changes.jsonSHA-256
59c733198e1c6b2dca7c08d425e2a4764198b31dcf334d79cc93652e6fc96cd3
- model/whole_genealogy_rounded_changes.jsonSHA-256
- C1215 — Explain the exact cancellation in the Rounded head differenceDocument JSON · Download preserved record
SHA-256b932233dca6966a9dd61f15f26370d924e73453648b491e7bd3775c25ed96a10Linked evidence (1)
- model/whole_genealogy_rounded_head_cancellation.jsonSHA-256
3d45a7d600eda8d3b759b2b612bd9ca5267b4804fb9b58fa83e23698e46fce33
- model/whole_genealogy_rounded_head_cancellation.jsonSHA-256
- C1216 — Reconstruct the hidden interior effect of head cancellationDocument JSON · Download preserved record
SHA-2560f4151838a1f5d0b767f1be1f72f7d52dd686d8d2885758071a11e21a1ae02a8Linked evidence (1)
- model/whole_genealogy_rounding_interior_field.jsonSHA-256
6d567b190a9b6394b05ca6e81b64f7eefde7f8e2021b4b92f407e75e25fa0c2d
- model/whole_genealogy_rounding_interior_field.jsonSHA-256
- C1217 — Locate the row where the rounding carry itself changesDocument JSON · Download preserved record
SHA-256afc127037ccbe4698c5c4ce1d20b7d7fb9f9e24a8dd8bbad42cf4cfa1df7ac2bLinked evidence (1)
- model/whole_genealogy_rounded_carry_change.jsonSHA-256
9e64605b3c1b687ca5656ad9eb06a5cfe846fd29f54ea82de3a48bd97031fdc8
- model/whole_genealogy_rounded_carry_change.jsonSHA-256
- C1218 — Lift source translations to Rounded values plus residualsDocument JSON · Download preserved record
SHA-256011110284de3dfb0d6b488940c09399bba5bb50fa828eb62b31042ba23a84f42Linked evidence (1)
- model/rounded_residual_translation.jsonSHA-256
f9e2b0fdc53f2c54c40d63f1de6d2aaa0aa0eef6eb8f7fe79eb7cde3bd98fdee
- model/rounded_residual_translation.jsonSHA-256
- C1219 — Verify the lifted rule on all ordinary tradition changesDocument JSON · Download preserved record
SHA-256a6821bdf38a412f444cbfe53d2633b9c44d5cd4fc22d86f0d633afc0a874e401Linked evidence (2)
- model/all_ordinary_lifted_translations.jsonSHA-256
2758dc3c28556dbcad313c1eb49e12d357695a36b441e826377b20681d96a5ce - model/complete_source_row_packet.jsonSHA-256
1bd5961126532673e6fda1535befc5e64cf21d67d01a3c5e78d1a613bbb8ab59
- model/all_ordinary_lifted_translations.jsonSHA-256
- C1220 — Prove coherence of consecutive rounded-residual translationsDocument JSON · Download preserved record
SHA-2568fbb6a865e3385fc1cb1cf827c0d71715e8a1e6d8567b0505cf1481d1be679f0Linked evidence (1)
- model/rounded_translation_composition.jsonSHA-256
75a28f7bb3d4a6f20397c95c1ee5d51b30d61bd6dc6d190fbb0db940da93dba8
- model/rounded_translation_composition.jsonSHA-256
- C1221 — Characterize source shifts that descend to rounded cellsDocument JSON · Download preserved record
SHA-256909d70ef3435e55275ac6ff7434f2f60e87242d14b39ab44f9aa78eec2839acdLinked evidence (1)
- model/rounded_cell_shift_criterion.jsonSHA-256
4c2cbdaadd6fd462334918a11e56c5bcae951522a91a8675add093e2ff9ebb15
- model/rounded_cell_shift_criterion.jsonSHA-256
- C1222 — Write the source-change to Rounded-path synthesisDocument JSON · Download preserved record
SHA-256b8e449c99dd837d42c86c0046856d5efd464fb59d597a6f6f7d37626bc98cdddLinked evidence (1)
- deliverables/Source_Changes_to_Rounded_Paths.mdSHA-256
9629485664a6702d46147cf21859dfd7a987ccbba15aee8da413d1846b06a230
- deliverables/Source_Changes_to_Rounded_Paths.mdSHA-256