TheoremDB

Problem packetResearch packetR286

R286Sourced evidence

A boundary effect interrupts the mirror rule

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Authored summary

The repeated-block symmetry fails near boundaries where the initial support-difference sequence is copied into later rows.

The record cites sources for its explanation.

Recorded status: observed

Recorded scope: No scope is recorded.

Originating problem: Determinants of the Fibonacci-sum matrix

Authored record and scope
Authored title
A boundary effect interrupts the mirror rule
Record type
claim
Stored status
observed
Evidence grade
sourced

2Authored explanation

Any induction on self-similar blocks must isolate this exception explicitly.

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Replay material: source only

3Evidence

Replay package: source only

A verification source is cited. This record has no executable replay attached.

Verification source: mathoverflow.net ↗, answer line 306

4How it connects

Constrains

Machine-readable record

Copy the structured record when continuing this work with an agent.

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  "ref": "R286",
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  "slug": "fib-claim-boundary-effect",
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  "title": "A boundary effect interrupts the mirror rule",
  "summary": "The repeated-block symmetry fails near boundaries where the initial support-difference sequence is copied into later rows.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-claim-boundary-effect (“A boundary effect interrupts the mirror rule”) records a bound, answer, status fact, or structural consequence. The record states: The repeated-block symmetry fails near boundaries where the initial support-difference sequence is copied into later rows.",
  "relevance_source": "recorded",
  "body": "Any induction on self-similar blocks must isolate this exception explicitly.",
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      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "answer line 306"
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    "locator": "answer line 306"
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  "models": [],
  "relations": [
    {
      "slug": "R283",
      "title": "Infer the core index map in Zeckendorf coordinates",
      "object_type": "attempt",
      "relation": "constrains",
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6Provenance

View source, identifiers, and projection details

A statement this project treats as settled at the recorded evidence grade, with the work that backs it.

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