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C1211 — Determine the threshold for visible rounded clipping

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Study sequence: SP cap and rounding interface (C1202–C1212) · Rounded chronology

C1211 — Determine the threshold for visible rounded clipping

Question

How large must a life be for its cap reduction to remain visible after rounding?

Inputs

{}

Sources

[
  "C1210",
  "C1203"
]

Opened utc

2026-09-28T05:27:55.384447+00:00

Results

{
  "visibility": {
    "path": "model/cap_round_strict_visibility.json",
    "sha256": "2a81074b2f3001decdb18bf7167d22e03ff71e1a0520a12704f08f3800f0b0b3",
    "bytes": 736
  },
  "thresholds": [
    848,
    723,
    658
  ]
}

Finding

Visible rounded clipping begins at Q(c)+3. For the SP capacities the thresholds are848,723 and658; the actual baseline lives exceed them comfortably, so all three reductions remain visible.

Reassessment

Summarize cap and rounding as distinct kinds of information loss before returning to cross-family transformations.

Checks

{
  "thresholds": true,
  "actual_visible": true
}

Closed utc

2026-09-28T05:27:55.384973+00:00

Record provenance

Exact record hash: cf2997c629bac5adbe616fe68c1619795c68af5091b121e357c6fc1cbe5ed7ad

Source journal: Research_Cycles/C1132_C1431_Recovered/journal.json

Linked sources and evidence

Edition and provenance

C1211.md

SHA-256 a8a8be0b6fdbd3752d3e5a08df0e836c594b8a16832c3e627caf54de53cb27e0

C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1211