---
title: "Jacobian mathematical notation"
description: "Jacobian is a recurring research-paper notation family. Arranges every first partial derivative of a vector-valued function into a matrix."
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/jacobian"
md_url: "https://fanout.sh/labs/math-decoder/symbol/jacobian.md"
last_updated: "2026-08-09"
access: "public"
---

# Jacobian mathematical notation

Jacobian is a recurring research-paper notation family. Arranges every first partial derivative of a vector-valued function into a matrix.

## Public overview

Jacobian: Arranges every first partial derivative of a vector-valued function into a matrix. Example: Entry i j measures how output i changes with input j.

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