---
title: "Defined as mathematical notation"
description: "Defined as is a recurring research-paper notation family. Introduces a name or symbol whose meaning is fixed by the expression on the right."
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/defined-as"
md_url: "https://fanout.sh/labs/math-decoder/symbol/defined-as.md"
last_updated: "2026-08-09"
access: "public"
---

# Defined as mathematical notation

Defined as is a recurring research-paper notation family. Introduces a name or symbol whose meaning is fixed by the expression on the right.

## Public overview

Defined as: Introduces a name or symbol whose meaning is fixed by the expression on the right. Example: This line gives f its definition.

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