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Seven-Conjecture Deep Dives, Multi-Attractor Q33 Extension, and the First Cross-Domain Frankl Formalization (Rei-AIOS Paper 121)

Seven-Conjecture Deep Dives, Multi-Attractor Q33 Extension, and the First Cross-Domain Frankl Formalization (Rei-AIOS Paper 121)

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13 min read
Five Unsolved-Problem Deep Dives and the Gilbreath-Collatz Structural Isomorphism (Rei-AIOS Paper 120)

Five Unsolved-Problem Deep Dives and the Gilbreath-Collatz Structural Isomorphism (Rei-AIOS Paper 120)

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13 min read
Paper 119: Q7 Falsification, Q8/Q9 Empirical Data, and the First Rei-AIOS Failure Record

Paper 119: Q7 Falsification, Q8/Q9 Empirical Data, and the First Rei-AIOS Failure Record

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10 min read
Five Formal Closures + Findings + AI-Generated Open Questions (Rei-AIOS Paper 118)

Five Formal Closures + Findings + AI-Generated Open Questions (Rei-AIOS Paper 118)

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12 min read
Random 3-SAT Phase Transition Revisited: Empirical Reproduction, Lean 4 Formalization, and D-FUMT8 Interpretation Layer

Random 3-SAT Phase Transition Revisited: Empirical Reproduction, Lean 4 Formalization, and D-FUMT8 Interpretation Layer

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10 min read
Erdős-Straus Conjecture — Lean 4 Small-n Formalization + Infinite Mod-4 Family

Erdős-Straus Conjecture — Lean 4 Small-n Formalization + Infinite Mod-4 Family

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5 min read
Andrica's Conjecture — A Lean 4 Mathlib-Native Treatment with Structural Sufficient Conditions

Andrica's Conjecture — A Lean 4 Mathlib-Native Treatment with Structural Sufficient Conditions

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5 min read
Twin Primes Conjecture under Rei-AIOS Lens — A Structural Reinterpretation of Zhang-Maynard Bounded-Gap Results

Twin Primes Conjecture under Rei-AIOS Lens — A Structural Reinterpretation of Zhang-Maynard Bounded-Gap Results

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6 min read
Nested Colored-Dot Symbol System: An Information-Theoretic and Semantic Alternative to QR Codes

Nested Colored-Dot Symbol System: An Information-Theoretic and Semantic Alternative to QR Codes

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9 min read
The whiteboard test: a FAANG-level gate applied to my own learning

The whiteboard test: a FAANG-level gate applied to my own learning

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6 min read
Topological and Ergodic Approaches to the Collatz Conjecture: Rei-AIOS vs. Santana (2026)

Topological and Ergodic Approaches to the Collatz Conjecture: Rei-AIOS vs. Santana (2026)

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7 min read
Braille-D-FUMT8 vs CLIP / BERT / ImageBind: a Rigorous Information-Theoretic Comparison

Braille-D-FUMT8 vs CLIP / BERT / ImageBind: a Rigorous Information-Theoretic Comparison

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6 min read
I Bought a Domain That Used to Sell Viagra. Here's My SEO Recovery Log.

I Bought a Domain That Used to Sell Viagra. Here's My SEO Recovery Log.

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4 min read
A WebGL 3D Cube From First Principles — Handwritten 4x4 Matrices and Visible Shaders

A WebGL 3D Cube From First Principles — Handwritten 4x4 Matrices and Visible Shaders

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3 min read
Why 1100 / 1.1 = 999.9999… Is a Tax Calculator Bug, and Two Ways to Fix It

Why 1100 / 1.1 = 999.9999… Is a Tax Calculator Bug, and Two Ways to Fix It

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4 min read
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