← Session 13 — Phase 4 completion + draft.tex author block
thinking (264 chars)
Paper updated. Now final session-end: NGUYEN.md 4.5 checkboxes → complete, session log addition, STATE.md update, journal final note, commit.
NGUYEN.md Phase 4 section: the 4.5a–d items marked [~] → [x] with outcomes. Also STATE.md: update position + next action.
Final session-end updates: NGUYEN.md 4.5 checkboxes, STATE.md, journal, commit.
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\NGUYEN.md",
"new_string": "- [x] 4.5a D-056 (session 009): reference-point R-bound PROVED\n (A = 10.5, B\u2080 = 48, honest C\u2080 incl. log log term \u2014 D-036 \u00a70\n erratum) + digamma remainder |r| \u2264 1.2/|w|\u00b2 PROVED + I_I\n housekeeping. E-028 ALL CHECKS PASS (26\u00d7 slack); N\u2080 = 80 000,\n overlap 6.25\u00d7, margin(N\u2081) = 2.458e26. R-004 tag RESTORED.\n- [x] 4.5b D-057 (session 009): margin convexity PROVED (chain-rule\n reduction \u03c6(T(n))\u2033 = \u03c8[\u03c6](T)/4n + 11-block table with elementary\n sign arguments + I_I direct bound). E-029 ALL CHECKS PASS.\n- [x] 4.5c D-058 (session 009): valley lower bounds repaired \u2014\n B1\u2032(i) isolated zeros clean rate PROVED; B1\u2032(ii) general via\n node-killing projection (Gram constant + annulus count E(\u03b3,a));\n B3\u2032 sinc\u00b2((z\u2212\u03b3)a) fix; m_\u03b3 fix (K \u2264 1/m_\u03b3); detector\n restatement three-level (bare/pencil/carrier).\n- [x] 4.5d D-059 (session 009): bookkeeping write-ups \u2014 (1.12)\n punctured-compact reading; R_\u03c4 := W/F \u2212 R\u2080 + distributional\n representation; Lemma FD (form-domain identification, flat\n bumps admissible); L1 write-up (PWS step named).",
"old_string": "- [~] 4.5a D-036 \u00a71 reference-point rewrite (traced A, B\u2080) + D-039\n repair (Binet split t ~ |V|; sharper recurrence majorant) +\n I_I housekeeping. \u2192 blocks R-004 full tag.\n- [~] 4.5b Symbolic concavity proof of B(n) components (n \u2265 20).\n- [~] 4.5c Valley-theorem lower bounds (node-killing test functions or\n averaged-density lemma) + B3 sinc\u00b2 argument fix + m_\u03b3 statement\n fix + detector restatement at the correct level (E-027: bare\n onset immediate; carrier threshold exact; pencil magnitude-set).\n- [~] 4.5d L1 write-up + (I1) form-domain identification + R-003\n bookkeeping (punctured compacts; R_\u03c4 distributional rep).",
"replace_all": false
}
raw content_json (database row)
[{"type":"thinking","thinking":"Paper updated. Now final session-end: NGUYEN.md 4.5 checkboxes → complete, session log addition, STATE.md update, journal final note, commit.\n\nNGUYEN.md Phase 4 section: the 4.5a–d items marked [~] → [x] with outcomes. Also STATE.md: update position + next action.","signature":""},{"type":"text","text":"Final session-end updates: NGUYEN.md 4.5 checkboxes, STATE.md, journal, commit."},{"type":"tool_use","id":"Edit_205","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\NGUYEN.md","new_string":"- [x] 4.5a D-056 (session 009): reference-point R-bound PROVED\n (A = 10.5, B₀ = 48, honest C₀ incl. log log term — D-036 §0\n erratum) + digamma remainder |r| ≤ 1.2/|w|² PROVED + I_I\n housekeeping. E-028 ALL CHECKS PASS (26× slack); N₀ = 80 000,\n overlap 6.25×, margin(N₁) = 2.458e26. R-004 tag RESTORED.\n- [x] 4.5b D-057 (session 009): margin convexity PROVED (chain-rule\n reduction φ(T(n))″ = ψ[φ](T)/4n + 11-block table with elementary\n sign arguments + I_I direct bound). E-029 ALL CHECKS PASS.\n- [x] 4.5c D-058 (session 009): valley lower bounds repaired —\n B1′(i) isolated zeros clean rate PROVED; B1′(ii) general via\n node-killing projection (Gram constant + annulus count E(γ,a));\n B3′ sinc²((z−γ)a) fix; m_γ fix (K ≤ 1/m_γ); detector\n restatement three-level (bare/pencil/carrier).\n- [x] 4.5d D-059 (session 009): bookkeeping write-ups — (1.12)\n punctured-compact reading; R_τ := W/F − R₀ + distributional\n representation; Lemma FD (form-domain identification, flat\n bumps admissible); L1 write-up (PWS step named).","old_string":"- [~] 4.5a D-036 §1 reference-point rewrite (traced A, B₀) + D-039\n repair (Binet split t ~ |V|; sharper recurrence majorant) +\n I_I housekeeping. → blocks R-004 full tag.\n- [~] 4.5b Symbolic concavity proof of B(n) components (n ≥ 20).\n- [~] 4.5c Valley-theorem lower bounds (node-killing test functions or\n averaged-density lemma) + B3 sinc² argument fix + m_γ statement\n fix + detector restatement at the correct level (E-027: bare\n onset immediate; carrier threshold exact; pencil magnitude-set).\n- [~] 4.5d L1 write-up + (I1) form-domain identification + R-003\n bookkeeping (punctured compacts; R_τ distributional rep).","replace_all":false},"extra_content":null}]