norm

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[edit] English

[edit] Pronunciation

[edit] Etymology 1

From Latin norma (a carpenter's square, a rule, a pattern, a precept).

[edit] Noun

Singular
norm

Plural
norms

norm (plural norms)

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  1. (the norm) That which is regarded as normal or typical.
    Unemployment is the norm in this part of the country.
  2. (sociology) A rule that is enforced by members of a community
  3. (philosophy) A sentence with non-descriptive meaning, such as command, permission, and prohibition.
  4. (mathematics) A mode or average
  5. (analysis) A function, denoted |v| or ||v||, that maps vectors to non-negative scalars and has the following properties:
    1. |v| > 0 or |v| = 0 iff v = 0;
    2. given a scalar k, |kv| = |k|.|v|, where |k| is the absolute value of k;
    3. given two vectors v and w, |v + w| ≤ |v| + |w| (the triangle inequality).
[edit] Derived terms
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[edit] Translations

[edit] Etymology 2

Back-formation from normed.

[edit] Verb

Infinitive
to norm

Third person singular
norms

Simple past
normed

Past participle
normed

Present participle
norming

to norm (third-person singular simple present norms, present participle norming, simple past and past participle normed)

  1. (analysis) To endow (a vector space, etc) with a norm.
[edit] Derived terms

[edit] External links


[edit] Norwegian

[edit] Noun

norm m. (definite singular normen; indefinite plural normer; definite plural normene)

  1. norm (that which is normal)

[edit] Derived terms


[edit] Swedish

Inflection for norm Singular Plural
Common Indefinite Definite Indefinite Definite
Nominative norm normen normer normerna
Genitive norms normens normers normernas

[edit] Pronunciation

[edit] Noun

norm

  1. norm (that which is normal)
  2. norm (in analysis)

[edit] See also