{"id": "c995", "title": "C995 — Retained-part measurement rank", "filename": "C995.md", "role": "Research action", "step": 995, "sha256": "04fbb9cda441b6ea4f4d7fb7e44fca695ce42a750186c863babd5c589be40c73", "bytes": 1074, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C995"], "download": "/sources/04fbb9cda441b6ea4f4d7fb7e44fca695ce42a750186c863babd5c589be40c73.md", "format": "md", "derived": true, "tags": [], "excerpt": "How many independent totals describe a converted part and retained part?", "content": "# C995 — Retained-part measurement rank\n\n## Question\n\nHow many independent totals describe a converted part and retained part?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"SupplementA690/30 table\",\n  \"File52c retained-lower family\",\n  \"C993\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:54:05.744623+00:00\n\n## Results\n\n```json\n{\n  \"basis\": {\n    \"path\": \"model/retained_part_measurement.json\",\n    \"sha256\": \"4bd02f25d95fef51c02d965da796d0c3e1211b02609383f231c7fb1093e8e1d2\",\n    \"bytes\": 231\n  },\n  \"rank\": 2,\n  \"two_measurement_determinant\": \"-1/69\"\n}\n```\n\n## Finding\n\nThe native, P and E totals form a rank-two measurement system. Its dependent relation is5T0−6TP+TE=0.\n\n## Reassessment\n\nApply that basis to the complete supplied flank and macro fields.\n\n## Checks\n\n```json\n{\n  \"rank_two\": true,\n  \"left_kernel\": true,\n  \"invertible_pair\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:54:05.745544+00:00\n\n## Record provenance\n\nExact record hash: `04bd58dba9703075d630020c71a6c1b0c2428e508ed4cf5626587d31fcaa57af`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json", "evidenceLinks": [{"id": "d-4bd02f25d95fef51", "title": "model/retained_part_measurement.json"}, {"id": "file52c", "title": "File 52c"}]}