What is the meaning of Norm?

That which is normal or typical.

A rule that is imposed by regulations and/or socially enforced by members of a community.

A sentence with non-descriptive meaning, such as a command, permission, or prohibition.

A function which satisfies a particular set of formal conditions, created to generalize the notion of the length of a vector. Formally, a real-valued function on a vector space, generally denoted ${\displaystyle v\mapsto \left|v\right|}$ or ${\displaystyle v\mapsto \left\|v\right\|}$, that satisfies the following properties:

1. if ${\displaystyle v\neq 0}$ then ${\displaystyle \left\|v\right\|\neq 0}$;
2. given a scalar ${\displaystyle k}$, ${\displaystyle \left\|kv\right\|=\left|k\right|\cdot \left\|v\right\|}$, where ${\displaystyle \left|k\right|}$ is the absolute value of ${\displaystyle k}$;
3. given two vectors ${\displaystyle v,w}$, ${\displaystyle \left\|v+w\right\|\leq \left\|v\right\|+\left\|w\right\|}$ (the triangle inequality).

if ${\displaystyle v\neq 0}$ then ${\displaystyle \left\|v\right\|\neq 0}$;

given a scalar ${\displaystyle k}$, ${\displaystyle \left\|kv\right\|=\left|k\right|\cdot \left\|v\right\|}$, where ${\displaystyle \left|k\right|}$ is the absolute value of ${\displaystyle k}$;

given two vectors ${\displaystyle v,w}$, ${\displaystyle \left\|v+w\right\|\leq \left\|v\right\|+\left\|w\right\|}$ (the triangle inequality).

Any of several generalizations of the above: a matrix norm, operator norm, etc.

A high level of performance in a chess tournament, several of which are required for a player to receive a title.

To endow (a vector space, etc.) with a norm.

norm; standard

a norm, standard

norm (that which is normal)

A norm (that which is normal).

lawn

meadow

norm (that which is normal)

norm (in analysis)

Source: wiktionary.org