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norm

Pronunciation: /nɔːm/

The English word “norm” has 11 meanings listed here.

noun

  1. That which is normal or typical.
  2. A rule that is imposed by regulations and/or socially enforced by members of a community.
  3. A required level of achievement.
  4. A sentence with non-descriptive meaning, such as a command, permission, or prohibition.
  5. if v ne 0 then ‖v‖ ne 0;
  6. given a scalar k, ‖kv‖=|k|·‖v‖, where |k| is the absolute value of k;
  7. given two vectors v,w, ‖v+w‖<‖v‖+‖w‖ (the triangle inequality).
  8. Any of several generalizations of the above: a field norm, ideal norm, etc.
  9. 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.
  10. A high level of performance in a chess tournament, several of which are required for a player to receive a title.

verb

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

Etymology

From Latin norma (“a carpenter's square, a rule, a pattern, a precept”). Doublet of norma.

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Definitions are from Wiktionary, extracted by Kaikki.org, and are available under the CC BY-SA 4.0 licence.