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C963 — Aggregate cap identification

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

C963 — Aggregate cap identification

Question

Can the complete lifespan sum identify k after support is fixed?

Inputs

{
  "source_total": 7137,
  "active": [
    5,
    7,
    8
  ]
}

Sources

[
  "C953",
  "C954",
  "C962"
]

Opened utc

2026-09-28T03:47:49.292737+00:00

Results

{
  "sum_equation": "total = 5334 + 3k",
  "intercept": 5334,
  "recovered_k": 601
}

Finding

Within the fixed support region, the sum7137 identifies601. It is an alternative coordinate for the same data, retaining support and order assumptions.

Reassessment

Recover the changed begetting inputs from the individual cap equations.

Checks

{
  "intercept": true,
  "k": true,
  "support_valid": true
}

Closed utc

2026-09-28T03:47:49.293122+00:00

Record provenance

Exact record hash: edc906fe880f6d55bfe19b73556dbd967e635409f1c642e40e45512690f8acfc

Source journal: Research_Cycles/C0932_C1131/journal.json

Edition and provenance

C963.md

SHA-256 fc994279654f6630bde2e729130cfdc3ff0f7e1164dfa0aef12d8a61701a0c45

C480–C1634/Research_Cycles/C0932_C1131/journal.json#C963