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C957 — Slack and reduction field

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Study sequence: SP Flood capacities, lifespan caps and cumulative response (C953–C983) · Regular & Cumulative

C957 — Slack and reduction field

Question

What distinguishes strict clipping from remaining below the capacity?

Inputs

{}

Sources

[
  "C953",
  "C955",
  "C956"
]

Opened utc

2026-09-28T03:46:46.269766+00:00

Results

{
  "field": {
    "path": "model/sp_cap_slack.json",
    "sha256": "57876486c0201cea008f670ad72e3d50c4cd877d40ba39b1cf38188095e06bc7",
    "bytes": 183
  },
  "slack": [
    377,
    265,
    167,
    72,
    17,
    0,
    420,
    0,
    0
  ],
  "reductions": [
    0,
    0,
    0,
    0,
    0,
    115,
    0,
    249,
    124
  ],
  "total_reduction": 488
}

Finding

Six lives remain below capacity, with Mahalalel the nearest unchanged row at17. Three positive reductions account for the entire488 pre-Noah difference.

Reassessment

Establish whether the minimum rule has a precise extremal meaning.

Checks

{
  "slack": true,
  "reductions": true,
  "nonnegative": true
}

Closed utc

2026-09-28T03:46:46.270270+00:00

Record provenance

Exact record hash: b36ddb49c58cb7c7971746db5f4ebb9f135409452f832d6c2949651463e1ad3b

Source journal: Research_Cycles/C0932_C1131/journal.json

Linked sources and evidence

Edition and provenance

C957.md

SHA-256 618b91b5e20215cc60bc7c333c85310770e2bb447e850cc05bc84a91ca8bbdad

C480–C1634/Research_Cycles/C0932_C1131/journal.json#C957