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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
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
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
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
Researchers Just Made AI 100x More Energy-Efficient. The Method Is What You Should Be Watching.

Researchers Just Made AI 100x More Energy-Efficient. The Method Is What You Should Be Watching.

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5 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
The 270-Second Rule: How to Cut Claude Code API Costs by 90% with Smart

The 270-Second Rule: How to Cut Claude Code API Costs by 90% with Smart

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3 min read
Claude Code's Edge: Why Sonnet 4.5 Beats GPT-4o for Multi-File Projects

Claude Code's Edge: Why Sonnet 4.5 Beats GPT-4o for Multi-File Projects

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4 min read
AI Reproducibility Crisis: Why Claims Fail to Verify

AI Reproducibility Crisis: Why Claims Fail to Verify

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6 min read
Augmented Reality in Educational Games: What Evidence Actually Supports

Augmented Reality in Educational Games: What Evidence Actually Supports

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2 min read
How We Measured Affect in an Autonomous AI (And What We Found)

How We Measured Affect in an Autonomous AI (And What We Found)

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3 min read
AI Search Showdown: Perplexity vs SearchGPT vs Claude 3.5 Sonnet (2026)

AI Search Showdown: Perplexity vs SearchGPT vs Claude 3.5 Sonnet (2026)

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3 min read
Uncovering the Hidden Data Costs of Mobile YouTube Video Ads

Uncovering the Hidden Data Costs of Mobile YouTube Video Ads

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2 min read
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