{"id": "c1152", "title": "C1152 — Define the row-operation basis", "filename": "C1152.md", "role": "Research action", "step": 1152, "sha256": "717c47563a1019c324d6583394359b59075c4904e4dfeddc27e7e19f007d2c45", "bytes": 1306, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1152"], "download": "/sources/717c47563a1019c324d6583394359b59075c4904e4dfeddc27e7e19f007d2c45.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative"], "excerpt": "Can every compatible change in begetting, remainder and lifespan be written with two explicit operations?", "content": "# C1152 — Define the row-operation basis\n\n## Question\n\nCan every compatible change in begetting, remainder and lifespan be written with two explicit operations?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"Strategy §§3.2,5B\",\n  \"C1151\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:05:28.953365+00:00\n\n## Results\n\n```json\n{\n  \"row_basis\": {\n    \"path\": \"model/row_operation_basis.json\",\n    \"sha256\": \"d5890c1fc31751f0260af97c1b982841593fe6ecf28fd42cf503922eb04be8e2\",\n    \"bytes\": 385\n  },\n  \"basis_matrix\": [\n    [\n      1,\n      0\n    ],\n    [\n      -1,\n      1\n    ],\n    [\n      0,\n      1\n    ]\n  ],\n  \"rank\": 2\n}\n```\n\n## Finding\n\nTwo row operations describe every compatible source change uniquely: transfer between begetting and remainder while preserving life, then change remainder and life together while preserving begetting. Their equal-amplitude combination preserves remainder.\n\n## Reassessment\n\nPlace the complete post-Flood inter-tradition changes in this basis.\n\n## Checks\n\n```json\n{\n  \"rank2\": true,\n  \"compatibility\": true,\n  \"integer_recovery\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:05:28.954071+00:00\n\n## Record provenance\n\nExact record hash: `b2bace0b362b12ce38bac81c85f32a17a9465b57fd5a114378f13746ff789d9d`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-d5890c1fc31751f0", "title": "model/row_operation_basis.json"}]}