Mar 31, 2026 position encoding RoPE rotary embeddingsPosition Encodings: How AI Knows Where Words Are (And Why It Breaks at Long Lengths)Transformers have no inherent notion of order. RoPE encodes relative positions via rotation matrices. Here's the full math from sinusoidal to NTK-aware scaling.
Mar 31, 2026 RoPE rotary position embeddings mathematical derivationRotary Position Embeddings: The Full Mathematical DerivationRoPE 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.
