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Featured image for article: Rotary Position Embeddings: The Full Mathematical Derivation
Mar 31, 2026 RoPE rotary position embeddings mathematical derivation NTK scaling YaRN position encoding math

Rotary Position Embeddings: The Full Mathematical Derivation

RoPE is used by virtually every modern LLM. Here's the complete derivation from first principles, proof of the relative position property, and NTK-aware scaling.