{"id": "c975", "title": "C975 — Check the piecewise-linear response", "filename": "C975.md", "role": "Research action", "step": 975, "sha256": "28bed00b0bcb205758a5648ed0d235083c0b4cf0a8dbc56abc479bb0c360c8a1", "bytes": 1173, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C975"], "download": "/sources/28bed00b0bcb205758a5648ed0d235083c0b4cf0a8dbc56abc479bb0c360c8a1.md", "format": "md", "derived": true, "tags": ["Cumulative"], "excerpt": "Does one controlled perturbation agree with the derived response matrix?", "content": "# C975 — Check the piecewise-linear response\n\n## Question\n\nDoes one controlled perturbation agree with the derived response matrix?\n\n## Inputs\n\n```json\n{\n  \"diagnostic_only\": \"increase completed Lamech edge by1; retain active-region assumptions\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"C974\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:50:11.806475+00:00\n\n## Results\n\n```json\n{\n  \"lifespan_changes\": [\n    0,\n    0,\n    0,\n    0,\n    0,\n    1,\n    0,\n    1,\n    1\n  ],\n  \"cumulative_changes\": [\n    3,\n    3,\n    3,\n    3,\n    3,\n    3,\n    2,\n    2,\n    1\n  ],\n  \"status\": \"unadmitted derivative diagnostic\"\n}\n```\n\n## Finding\n\nThe exact one-unit calculation matches the response matrix while retaining the same active support. The formula’s domain qualification is essential at cap thresholds.\n\n## Reassessment\n\nCheck the admitted whole-frame change without moving any relative ages.\n\n## Checks\n\n```json\n{\n  \"life_response\": true,\n  \"cumulative_response\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:50:11.806796+00:00\n\n## Record provenance\n\nExact record hash: `e06af236922234cb62e23d811ddfe9cdfc0db3a399e1a2d7e643bc9b8c9d24e6`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}