Sanakirja.org

Määritelmät

Substantiivit

1. (usually, definite, the norm) That which is regarded as normal or typical.
2. A rule that is enforced by members of a community.
3. (philosophy, computer science) A sentence with non-descriptive meaning, such as a command, permission or prohibition.
4. (mathematics) 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:
5. if v\ne0 then \left\|v\right\|\ne0;
6. given a scalar k, \left\|kv\right\|=\left|k\right|·\left\|v\right\|, where \left|k\right| is the absolute value of k;
7. given two vectors v,w, \left\|v+w\right\|\le\left\|v\right\|+\left\|w\right\| (the triangle inequality).
8. (chess) A high level of performance in a chess tournament, several of which are required for a player to receive a title.

Verbit

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