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C901 — Unify endpoint interpolation and extrapolation

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Study sequence: Whole-family comparisons and integrated schema (C901–C911) · Family grammar & reading guides

C901 — Unify endpoint interpolation and extrapolation

Question

Can one span and one generated coordinate retain the entire source pair?

Inputs

{}

Sources

[
  "C892",
  "C831 weighted Creation bridge"
]

Opened utc

2026-09-28T02:54:05.215910+00:00

Results

{
  "basis": {
    "path": "model/endpoint_coordinate_basis.json",
    "sha256": "47b0713d83431b05bb871bd6fd461cc179ef1d3d5de57403a84c8f817a06e7d7",
    "bytes": 391
  },
  "symbolic_coefficients": {
    "R_recovered": [
      0,
      1
    ],
    "C_recovered": [
      1,
      0
    ]
  }
}

Finding

The pair (D,W_lambda) is an exact coordinate system for (C,R), for every fixed lambda. The old weighted bridge and new twelvefold head use the same endpoint algebra with different source-appointed coefficients and roles.

Reassessment

Recover every macro source pair and both inherited weighted Creation pairs from this basis.

Checks

{
  "determinant": true,
  "R_coefficients": true,
  "C_coefficients": true
}

Closed utc

2026-09-28T02:54:05.216450+00:00

Record provenance

Exact record hash: 7fd7b24f3969631c5c1071c6eef86b55f1226912df43c3452060b7e55239fefc

Source journal: Research_Cycles/C0832_C0931/journal.json

Linked sources and evidence

Edition and provenance

C901.md

SHA-256 bcedbe153c4aae9ee24e6e0c120a187ed35b23dcf1e1f43d6db6e7427eb1ca7c

C480–C1634/Research_Cycles/C0832_C0931/journal.json#C901