norm

noun11

1. •
   That which is normal or typical.

   • Unemployment is the norm in this part of the country.
2. •
   A rule that is imposed by regulations and/or socially enforced by members of a community.

   • Not eating your children is just one of those societal norms.
3. •
   A required level of achievement.
4. •
   A high level of performance in a chess tournament, several of which are required for a player to receive a title.
5. •
   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 v↦|v| or v↦‖v‖, that satisfies the following properties.
6. •
   Any of several generalizations of the above: a field norm, ideal norm, etc.
7. •
   A sentence with non-descriptive meaning, such as a command, permission, or prohibition.
8. •
   An element of the image of some (generalized) norm, the element then said to be from the norm in question, or from the structure which gave rise to the norm.
9. •
   given two vectors v,w, ‖v+w‖<‖v‖+‖w‖ (the triangle inequality).
10. •
    if v ne 0 then ‖v‖ ne 0;
11. •
    given a scalar k, ‖kv‖=|k|·‖v‖, where |k| is the absolute value of k;

verb1

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

noun1

1. •
   Abbreviation of normal.

noun2

1. •
   Initialism of naturally occurring radioactive materials.

   • Radon in homes is one occurrence of NORM which may give rise to concern and action to control it, by ventilation. — 2016
2. •
   Initialism of nonmobile older rural male, the target conservative informant for documenting dialects and regional accents.

adjective1

1. •
   Clipping of Norman, a style of English architecture.