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Home » And $ \sin(2x) = 2\sin x \cos - Silent Sales Machine

And $ \sin(2x) = 2\sin x \cos - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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But 2¹⁵ = 32768, 2¹⁶ = 65536
> 32768, < 65536 → so 16 splits to reach ≤1? But we want exactly 1.
However, 64000 is not a power of 2, so we cannot reach exactly 1 via r...
But in practice, we split until each group is 1 — so must go until siz...
Start: 64000
After 1 split: 32000
After n splits: 64000 / 2ⁿ = 1 → 2ⁿ = 64000 → n = log₂(64000) = log₂(6...
But in discrete halving, we stop when size ≤1. But the question says "...
However, if the dataset is split recursively into two equal halves eac...
Re-evaluate: perhaps the split is theoretical — mathematically, how ma...

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