---
tag: 0V2WP9B1MF
kind: concept
name: Norm
msc: [46B20]
sources:
  - url: https://en.wikipedia.org/wiki/Norm_(mathematics)
    locator: Definition
same_as:
  wikidata: Q956437
  wikipedia: Norm (mathematics)
---

## Summary

A norm on a real or complex vector space is a function that gives each vector a length.
It satisfies the triangle inequality and absolute homogeneity, and only the zero vector has length zero.