English Explanatory Dictionary

norm

English dictionary entry

Meanings

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 sentence with non-descriptive meaning, such as a command, permission, or prohibition.
  4. 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:
  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.
name
  1. A diminutive of the male given name Norman.
noun
  1. Initialism of naturally occurring radioactive materials.
  2. Initialism of nonmobile older rural male.

Pronunciation

/nɔːm/ nôrm /nɔɹm/ en-us-norm.ogg

Word forms

norm norms norming normed

Etymology

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

Related words

abnormity abnormous normal normated normatic normative normo- normalize normalise

Derived words

1-norm 2-norm absolute norm adnorm age norm Banach norm basic norm Bombieri norm C*-cross norm Chebyshev norm complex norm conorm copynorm Cr-norm cross norm Dedekind-Hasse norm dual norm ethical norm Euclidean matrix norm Euclidean norm Euclidean vector norm exonorm extended norm field norm flat norm four-vector norm Frobenius matrix norm Frobenius norm Frobenius norm function Gowers norm grandmaster norm graph norm Hardy norm Hilbert-Schmidt norm ideological norm induced norm infinity-norm integral flat norm l1 norm l2 norm L-infinity norm male as norm mass norm matrix F-norm matrix norm matrix p-norm maximum absolute row column norm maximum absolute row sum norm maximum norm metanorm metric induced by a norm minimum norm property Minkowski norm Mistralian norm moral norm multinorm natural norm normable normation normcore

Translations

Bulgarian: норма Danish: norm Finnish: normi French: norme German: Norm Hungarian: norma Italian: norma Persian: نرم Polish: norma Russian: норма Spanish: norma Swedish: norm
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