norm

See also Norm

English

Pronunciation

• (UK) IPA: /nɔːm/, X-SAMPA: /nO:m/
• (US) enPR: nôrm, IPA: /nɔɹm/, X-SAMPA: /nOrm/

• Rhymes: -ɔː(r)m

Etymology 1

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

Noun

norm (plural norms)

Wikipedia

1. (usually definite, the norm) That which is regarded as normal or typical.

   Unemployment is the norm in this part of the country.

   • 2011 December 16, Denis Campbell, “Hospital staff 'lack skills to cope with dementia patients'”, Guardian:

     "This shocking report proves once again that we urgently need a radical shake-up of hospital care," said Jeremy Hughes, chief executive of the Alzheimer's Society. "Given that people with dementia occupy a quarter of hospital beds and that many leave in worse health than when they were admitted, it is unacceptable that training in dementia care is not the norm."

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.

Hyponyms

• (mathematics): absolute value, p-adic absolute value, trivial absolute value

Derived terms

Derived terms

1-norm 2-norm absolute norm adnorm age norm Banach norm basic norm Bombieri norm Chebyshev norm complex norm copynorm C*-cross norm 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 grandmaster norm graph norm Hardy norm Hilbert-Schmidt norm ideological norm induced norm ∞-norm integral flat norm L1-norm l2-norm L-infinity norm mass norm matrix F-norm matrix norm matrix p-norm maximum absolute row column norm maximum absolute row sum norm maximum norm metric induced by a norm minimum norm property Minkowski norm moral norm natural norm normable

normed norm form norm function normic form normie normless normlessness norm of an ideal norm of communism norm of disinterestedness norm of organized skepticism norm of reaction norm of reciprocity norm of universalism norm-referenced norm-referencing norm-residue norm resolvent convergence norm theorem nuclear norm operator norm p-adic norm peremptory norm p-norm

polynomial bar norm polynomial bracket norm polynomial norm pseudonorm quaternion norm reduced norm regular norm relative norm semi-norm, seminorm sexual norm social norm spectral norm spinor norm spinorial norm statistical norm subordinate norm sup norm, sup-norm supremum norm tobacco-free social norm T-norm, t-norm trace norm uniform norm vector norm vector p-norm

Related terms

• abnormity
• abnormous
• normal
• normated
• normatic
• normative
• normo-

Translations

that which is normal

• Danish: norm (da) c
• Esperanto: normo (eo)
• Georgian: ნორმა (ka) (norma)
• German: Regel (de) f
• Hungarian: norma (hu)
• Italian: norma (it) f

• Norwegian: norm (no)
• Romanian: normă (ro) f
• Russian: норма (ru) (norma) f
• Spanish: norma (es) f
• Swedish: norm (sv)
• Ukrainian: норма (uk) (norma) f

in analysis

• Danish: norm (da) c
• French: norme (fr) f
• German: Norm (de) f
• Hungarian: norma (hu)

• Italian: norma (it) f
• Polish: norma (pl) f
• Swedish: norm (sv)

rule that is enforced by members of a community

• Czech: norma (cs) f
• German: Norm (de) f
• Italian: norma (it) f
• Occitan: nòrma (oc) f, (Mistralian) normo (oc) f

• Romanian: regulă (ro) f, normă (ro) f
• Russian: норма (ru) (norma) f
• Spanish: norma (es) f
• Ukrainian: норма (uk) (norma) f

Etymology 2

Back-formation from normed.

Verb

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.

Derived terms

• norming

See also

• normalize, normalise

External links

• norm in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913
• norm in The Century Dictionary, The Century Co., New York, 1911

Anagrams

• morn

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Norwegian

Noun

norm

1. norm (that which is normal)

Inflection

    Inflection of norm

	indefinite singular	definite singular	indefinite plural	definite plural
Bokmål m	norm	normen	normer	normene
Nynorsk f	norm	norma [normi]	normer	normene

Derived terms

• normera/normere
• normering

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Swedish

Pronunciation

• audio

  (file)

Noun

norm c

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

Declension

Declension of norm

	singular		plural
Common	indefinite	definite	indefinite	definite
nominative	norm	normen	normer	normerna
genitive	norms	normens	normers	normernas

See also

• normera
• normalisera