• (British) IPA: /nɔːm/
  • (America) enPR: nôrm, IPA: /nɔɹm/

norm (plural norms)

  1. That which is normal or typical.
    Unemployment is the norm in this part of the country.
  2. A rule that is enforced by members of a community.
    Not eating your children is just one of those societal norms.
  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:
    1. if v\ne0 then \left\|v\right\|\ne0;
    2. given a scalar k, \left\|kv\right\|=\left|k\right|\cdot\left\|v\right\|, where \left|k\right| is the absolute value of k;
    3. given two vectors v,w, \left\|v+w\right\|\le\left\|v\right\|+\left\|w\right\| (the triangle inequality).
  5. (chess) A high level of performance in a chess tournament, several of which are required for a player to receive a title.
Related terms Translations Translations Translations Verb

norm (norms, present participle norming; past and past participle normed)

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

Proper noun
  1. A male given name



  1. Initialism of naturally occurring radioactive materials
    • 2016, World Nuclear Association
      Radon in homes is one occurrence of NORM which may give rise to concern and action to control it, by ventilation.

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