View source for Norm

{{also|Norm|NORM}}
==English==

===Pronunciation===
* {{IPA|en|/nɔːm/|a=RP}}
* {{enPR|nôrm|a=GA}}, {{IPA|en|/nɔɹm/}}
** {{audio|en|en-us-norm.ogg|a=Midland US}}
* {{rhymes|en|ɔː(ɹ)m|s=1}}

===Etymology 1===
{{root|en|ine-pro|*ǵneh₃-}}
From {{bor|en|la|norma||a carpenter's square, a rule, a pattern, a precept}}.<ref>{{R:OED Online|pos=''n.''<sup>1</sup>|noformat=1|id=2741462307}}</ref> {{doublet|en|norma}}.

====Noun====
{{en-noun}}
{{wikipedia}}

# That which is [[normal]] or [[typical]].
#: {{ux|en|Unemployment is the '''norm''' in this part of the country.}}
#* {{quote-book|en|year=2008|author=Dennis Patterson; Ari Afilalo|title=The New Global Trading Order: The Evolving State and the Future of Trade
|passage={{...}} the world needs a constitutional moment that will generate new institutions and actuate a new '''norm'''.}}
#* {{quote-journal|en
|date=December 16, 2011
|author=Denis Campbell
|title=Hospital staff 'lack skills to cope with dementia patients'
|work=Guardian
|url=http://www.guardian.co.uk/society/2011/dec/16/hospital-staff-dementia-patients
|page=
|passage="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'''."}}
#* {{quote-journal|en|date=2019 December 18|author=Richard Clinnick|title=Railway's 2020 vision|journal=Rail|page=3|text=Projects such as the [[King's Cross]] refurbishment, [[Waterloo]] blockade, Scottish electrification and the Borders show that the industry can do wonderful work - but that must become the '''norm''', not the exception.}}
# A [[rule]] that is imposed by regulations and/or socially enforced by members of a community.
#: {{ux|en|Not eating your children is just one of those societal '''norms'''.}}
#* {{quote-book|en|title=Willpower|author=Roy F. Baumeister; John Tierney|year=2011|ISBN=9781594203077|page=230
|passage=Peer pressure helps explain why people in Europe weigh less than Americans: They follow different social '''norms''', like eating only at mealtimes instead of snacking throughout the day.}}
# {{lb|en|philosophy|computer science}} A sentence with non-descriptive meaning, such as a [[command]], [[permission]]{{,}} or [[prohibition]].
# {{senseid|en|Q956437}} {{lb|en|mathematics}} 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 <math>v\mapsto\left|v\right|</math> or <math>v\mapsto\left\|v\right\|</math>, that satisfies the following properties: {{C|en|Functions}}
## if <math>v\ne0</math> then <math>\left\|v\right\|\ne0</math>;
## given a scalar <math>k</math>, <math>\left\|kv\right\|=\left|k\right|\cdot\left\|v\right\|</math>, where <math>\left|k\right|</math> is the [[absolute value]] of <math>k</math>;
## given two vectors <math>v,w</math>, <math>\left\|v+w\right\|\le\left\|v\right\|+\left\|w\right\|</math> (the [[triangle inequality]]).
# {{lb|en|mathematics}} Any of several [[generalization]]s of the above: a [[field norm]], [[ideal norm]], etc.
## {{lb|en|algebra}} 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''.
##: {{ux|en|A [[quaternion|quaternion algebra]] <math>(a,b)</math> over <math>k</math>[[split]]s if and only if <math>b</math> is a '''norm''' from the field extension <math>k(\sqrt{a})/k,</math> i.e. if and only if there is some <math>x</math> in <math>k(\sqrt{a})</math> which has field norm exactly equal to <math>b</math>.}}
# {{lb|en|chess}} A high level of performance in a [[chess]] [[tournament]], several of which are required for a player to receive a [[title]].

=====Hyponyms=====
* {{sense|mathematics}} {{l|en|absolute value}}, {{l|en|p-adic absolute value|''p''-adic absolute value}}, {{l|en|trivial absolute value}}

=====Derived terms=====
{{col4|en
|1-norm
|2-norm
|absolute norm
|adnorm
|age norm
|Banach norm
|basic norm
|Bombieri norm
|Chebyshev norm
|complex norm
|copynorm|male as norm
|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
|infinity-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
|Mistralian norm
|moral norm
|natural norm
|normable
|normcore
|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
|Gowers norm|t-norm fuzzy logic|two-norm}}

=====Related terms=====
* {{l|en|abnormity}}
* {{l|en|abnormous}}
* {{l|en|normal}}
* {{l|en|normated}}
* {{l|en|normatic}}
* {{l|en|normative}}
* {{l|en|normo-}}

=====Translations=====
{{trans-top|that which is normal}}
* Bashkir: {{t|ba|норма|sc=Cyrl}}
* Belarusian: {{t|be|но́рма|f|sc=Cyrl}}
* Bulgarian: {{t+|bg|но́рма|f|sc=Cyrl}}
* Catalan: {{t+|ca|norma|f}}
* Chinese:
*: Mandarin: {{t+|cmn|常態|tr=chángtài}}, {{t+|cmn|規範|tr=guīfàn}}
* Czech: {{t+|cs|norma|f}}
* Danish: {{t+|da|norm|c}}
* Dutch: {{t+|nl|norm|f}}
* Esperanto: {{t|eo|normo}}
* Finnish: {{t+|fi|normi}}
* French: {{t+|fr|norme|f}}
* Georgian: {{t|ka|ნორმა|sc=Geor}}
* German: {{t+|de|Regel|f}}, {{t+|de|Norm|f}}
* Greek: {{t+|el|κριτήριο|n}}
*: Ancient: {{t|grc|κριτήριον|n}}
* Hungarian: {{t+|hu|norma}}
* Icelandic: {{t|is|norm|n}}
* Ingrian: {{t|izh|norma}}
* Italian: {{t+|it|norma|f}}
* Japanese: {{t+|ja|規|tr=のり, nori|sc=Jpan}}, {{t+|ja|規範|tr=きはん, kihan|sc=Jpan}}, {{t+|ja|ノルマ|tr=noruma|sc=Jpan}}
* Korean: {{t+|ko|규범(規範)}}
* Latin: {{t|la|norma|f}}
* Norwegian: {{t+|no|norm}}
* Persian: {{t+|fa|هنجار|tr=hanjâr}}, {{t+|fa|نُرم|tr=norm}}, {{t+|fa|معیار|tr=me'yâr}}
* Polish: {{t+|pl|norma|f}}
* Portuguese: {{t+|pt|norma|f}}
* Romanian: {{t+|ro|normă|f}}
* Russian: {{t+|ru|но́рма|f}}
* Slovak: {{t|sk|norma|f}}
* Spanish: {{t+|es|norma|f}}
* Swedish: {{t+|sv|norm}}
* Ukrainian: {{t+|uk|но́рма|f}}
{{trans-bottom}}

{{trans-top|rule that is enforced by members of a community}}
* Bashkir: {{t|ba|норма|sc=Cyrl}}
* Bulgarian: {{t+|bg|правило|n}}
* Catalan: {{t+|ca|norma|f}}
* Czech: {{t+|cs|norma|f}}
* Finnish: {{t+|fi|normi}}
* French: {{t+|fr|norme|f}}
* German: {{t+|de|Norm|f}}
* Indonesian: {{t+|id|norma}}
* Italian: {{t+|it|norma|f}}
* Japanese: {{t+|ja|規範|sc=Jpan}}
* Korean: {{t+|ko|규범(規範)}}
* Occitan: {{t+|oc|nòrma|f}}, {{qualifier|Mistralian}} {{t|oc|normo|f}}
* Ottoman Turkish: {{t|ota|قاعده|tr=kaʿide}}
* Persian: {{t+|fa|هنجار|tr=hanjâr}}, {{t+|fa|نرم|tr=norm}}
* Portuguese: {{t+|pt|norma|f}}
* Romanian: {{t+|ro|regulă|f}}, {{t+|ro|normă|f}}
* Russian: {{t+|ru|но́рма|f}}
* Spanish: {{t+|es|norma|f}}
* Ukrainian: {{t+|uk|но́рма|f}}
{{trans-bottom}}

{{trans-top|philosophy, computer science: sentence with non-descriptive meaning}}
{{trans-bottom}}

{{trans-top|math: function that maps vectors to non-negative reals}}
* Danish: {{t+|da|norm|c}}
* Finnish: {{t+|fi|normi}}
* French: {{t+|fr|norme|f}}
* German: {{t+|de|Norm|f}}
* Hungarian: {{t+|hu|norma}}
* Italian: {{t+|it|norma|f}}
* Persian: {{t+|fa|نرم|tr=norm}}
* Polish: {{t+|pl|norma|f}}
* Russian: {{t+|ru|норма|f}}
* Swedish: {{t+|sv|norm}}
{{trans-bottom}}

{{trans-top|chess: high level of performance}}
{{trans-bottom}}

===Etymology 2===
{{back-form|en|normed}}.

====Verb====
{{en-verb}}

# {{lb|en|analysis}} To [[endow]] (a [[vector space]], etc.) with a norm.

=====Derived terms=====
* {{l|en|norming}}<!--noun-->

=====Translations=====
{{trans-top|To endow with a norm}}
* Bulgarian: {{t+|bg|нормирам}}
* Dutch: {{t+|nl|normeren}}
* French: {{t+|fr|normer}}
* German: {{t+|de|normieren}}
{{trans-bottom}}

=====See also=====
* {{l|en|normalize}}, {{l|en|normalise}}

===References===
<references/>

===Further reading===
* {{R:Webster 1913}}
* {{R:Century 1911}}

===Anagrams===
* {{anagrams|en|a=mnor|morn}}

{{C|en|Functional analysis}}

==Danish==

===Etymology===
From {{der|da|la|norma}}.

===Pronunciation===
* {{IPA|da|/ˈnɒˀm/}}

===Noun===
{{da-noun|en|er}}

# {{l|en|norm}}; [[standard]]

====Declension====
{{da-decl|en|er}}

===References===
* {{R:DDO}}

==Dutch==

===Etymology===
Borrowed from {{bor|nl|fr|norme}}, ultimately from {{der|nl|la|nōrma}}. {{etystub|nl}}

===Pronunciation===
* {{IPA|nl|/nɔrm/}}
* {{hyphenation|nl|norm}}
* {{rhyme|nl|ɔrm|s=1}}

===Noun===
{{nl-noun|f|-en|+}}

# a {{l|en|norm}}, [[standard]]

====Derived terms====
* {{l|nl|bedrijfsnorm}}
* {{l|nl|begrotingsnorm}}
* {{l|nl|Maastrichtnorm}}
* {{l|nl|normbesef}}
* {{l|nl|normloos}}
* {{l|nl|normtaal}}
* {{l|nl|schrijfnorm}}
* {{l|nl|taalnorm}}

====Related terms====
* {{l|nl|normaal}}
* {{l|nl|normatief}}
* {{l|nl|normeren}}

==Norwegian Bokmål==
{{wikipedia|lang=no}}

===Etymology===
From {{der|nb|la|norma}}.

===Noun===
{{nb-noun-m1}}

# {{l|en|norm}} (''that which is normal'')

====Derived terms====
* {{l|nb|normere}}

===References===
* {{R:The Bokmål Dictionary}}

==Norwegian Nynorsk==
{{wikipedia|lang=nn}}

===Etymology===
From {{der|nn|la|norma}}.

===Noun===
{{nn-noun-f1}}

# A {{l|en|norm}} (''that which is normal'').

====Derived terms====
* {{nn-inf|normer|e=1|/}}
* {{l|nn|normering}}

===References===
* {{R:The Nynorsk Dictionary}}

==Swedish==

===Pronunciation===
* {{audio|sv|Sv-en norm.ogg}}

===Noun===
{{sv-noun|c}}

# {{l|en|norm}} (''that which is normal'')
# {{l|en|norm}} (''in analysis'')

====Declension====
{{sv-infl-noun-c-er}}

====Related terms====
* {{l|sv|normal}}
* {{l|sv|normativ}}
* {{l|sv|normera}}
* {{l|sv|normalisera}}

===Anagrams===
* {{anagrams|sv|a=mnor|morn}}

==Veps==

===Etymology===
From {{inh|vep|urj-fin-pro|*nurmi}}, from {{inh|vep|fiu-pro|*ńurme}}. Cognates include {{cog|fi|nurmi}}.

===Noun===
{{head|vep|noun}}

# [[lawn]]
# [[meadow]]

====Declension====
{{vep-decl-kivi|norme}}