🧮 Do Busy Beavers Simulate Collatz Numbers?
A deeply engaging theoretical exploration connecting two classic mathematical enigmas. It reflects the spirit of computational curiosity that bridges logic, mathematics, and computer science.
This article investigates possible links between Busy Beaver Turing machines and the Collatz conjecture. Through a construct called ‘Collatz’s Tape,’ it analyzes how state transitions in Turing machines parallel Collatz iterations and halting behaviors. The exploration blurs the line between theoretical computation and number theory in a creative and rigorous way.
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🧠 Karpathy on DeepSeek-OCR: Are Pixels Better Inputs for LLMs Than Text?
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💡 Programming with Less Than Nothing
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🎬 Ovi: Twin-Backbone Cross-Modal Fusion for Audio-Video Generation
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