# Definition of norm

Definition of norm
1. norm Noun That which is regarded as normal or typical.
2. norm Noun A rule that is enforced by members of a community.
3. norm Noun A sentence with non-descriptive meaning, such as a command, permission or prohibition.
4. norm Noun A mode or average.
5. norm Noun A function, generally denoted v\mapsto\left|v\right| or v\mapsto\left\|v\right\|, that maps vectors to non-negative scalars and has the following properties:
6. norm Verb To endow (a vector space, etc) with a norm.