---
title: "Rotary position embedding mathematical notation"
description: "Rotary position embedding is a recurring research-paper notation family. Rotates pairs of query and key features by position-dependent angles so their…"
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/rotary-embedding"
md_url: "https://fanout.sh/labs/math-decoder/symbol/rotary-embedding.md"
last_updated: "2026-08-09"
access: "public"
---

# Rotary position embedding mathematical notation

Rotary position embedding is a recurring research-paper notation family. Rotates pairs of query and key features by position-dependent angles so their…

## Public overview

Rotary position embedding is a recurring research-paper notation family. Rotates pairs of query and key features by position-dependent angles so their dot product carries relative-position information.

Rotary position embedding: Rotates pairs of query and key features by position-dependent angles so their dot product carries relative-position information. Example: Rotate the query by an angle determined by its token position.

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