---
title: "Hessian mathematical notation"
description: "Hessian is a recurring research-paper notation family. Arranges second partial derivatives into a matrix that describes local curvature."
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/hessian"
md_url: "https://fanout.sh/labs/math-decoder/symbol/hessian.md"
last_updated: "2026-08-09"
access: "public"
---

# Hessian mathematical notation

Hessian is a recurring research-paper notation family. Arranges second partial derivatives into a matrix that describes local curvature.

## Public overview

Hessian: Arranges second partial derivatives into a matrix that describes local curvature. Example: Entry i j records a second-order interaction between two input directions.

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