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Monte Carlo Simulation for Engineers: Turning Uncertainty Into Numbers
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Monte Carlo Simulation for Engineers: Turning Uncertainty Into Numbers

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5 min read
Floating-point will quietly corrupt your emissions math, and 0.1 + 0.2 already warned you

Floating-point will quietly corrupt your emissions math, and 0.1 + 0.2 already warned you

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6 min read
Paper 154 v0.0 (OUTLINE) — Rei as a Formal-Verification Compilation Pass for AI-Generated Mathematics

Paper 154 v0.0 (OUTLINE) — Rei as a Formal-Verification Compilation Pass for AI-Generated Mathematics

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13 min read
Why I Chose Hard Math Over AI for a 38,000 Ticker Financial Engine
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Why I Chose Hard Math Over AI for a 38,000 Ticker Financial Engine

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2 min read
Paper 152 v0.3 — Sigma-Cascade Collatz: 10^9 Scan + G_3 Subgraph Framework + Erratum E3 + Lemma 5d.1 Lean 4 Mechanized

Paper 152 v0.3 — Sigma-Cascade Collatz: 10^9 Scan + G_3 Subgraph Framework + Erratum E3 + Lemma 5d.1 Lean 4 Mechanized

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26 min read
THINC: How a 4B Model Beat 235B Qwen3 by Reasoning in Code
Cover image for THINC: How a 4B Model Beat 235B Qwen3 by Reasoning in Code

THINC: How a 4B Model Beat 235B Qwen3 by Reasoning in Code

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11 min read
Paper 152 v0.2 — Sigma-Cascade Observation of Collatz Orbit Confluence: Lean 4 Mechanized Closures + 3-Adic Isolation Theorem + Honest Correction E2

Paper 152 v0.2 — Sigma-Cascade Observation of Collatz Orbit Confluence: Lean 4 Mechanized Closures + 3-Adic Isolation Theorem + Honest Correction E2

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19 min read
Paper 152 v0.1 — Sigma-Cascade Observation of Collatz Orbit Confluence: Empirical Peak-Merge Enumeration and the n=96k Hypothesis

Paper 152 v0.1 — Sigma-Cascade Observation of Collatz Orbit Confluence: Empirical Peak-Merge Enumeration and the n=96k Hypothesis

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12 min read
One 200-Year-Old Math Trick Powers Almost Every Pixel and Sound You Touch

One 200-Year-Old Math Trick Powers Almost Every Pixel and Sound You Touch

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5 min read
The Three Conditions for Seeing the ISS — A Browser-Only Visibility Calculator with Spherical Trigonometry

The Three Conditions for Seeing the ISS — A Browser-Only Visibility Calculator with Spherical Trigonometry

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5 min read
Five geometry formulas every JavaScript developer ends up rewriting

Five geometry formulas every JavaScript developer ends up rewriting

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4 min read
Epicycle Doodler: Building a Fourier Transform Visualizer with React & Canvas
Cover image for Epicycle Doodler: Building a Fourier Transform Visualizer with React & Canvas

Epicycle Doodler: Building a Fourier Transform Visualizer with React & Canvas

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11 min read
Power x Thermodynamics x D-FUMT-8: A 9-Theory Bridge from CPU/GPU Engineering to Information Thermodynamics (Paper 141)

Power x Thermodynamics x D-FUMT-8: A 9-Theory Bridge from CPU/GPU Engineering to Information Thermodynamics (Paper 141)

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7 min read
Rei-PL Prover v0.1: A D-FUMT-8-Native Proof Assistant Prototype (Paper 137)

Rei-PL Prover v0.1: A D-FUMT-8-Native Proof Assistant Prototype (Paper 137)

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9 min read
Rei-Problems: A Self-Verifying Mathematical Problem Bank Generated from SEED_KERNEL Theories (Paper 139)

Rei-Problems: A Self-Verifying Mathematical Problem Bank Generated from SEED_KERNEL Theories (Paper 139)

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11 min read
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