From en.wiktionary.org:
[Norm]
** English
*** Pronunciation
- [en] - [nôrm] , [en] - [en] - [en]
*** Etymology 1
[en] From [en].[1] [en].
**** Noun
[en-noun] [wikipedia]
1. That which is normal or typical . 2. * {{ 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.}}
1. * {{ quote-journal | en |date=2011-12-16 |author=Denis Campbell |title=Hospital staff 'lack skills to cope with dementia patients' |work=w:The 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."}}
1. * [en] 2. * [en] 3. A rule that is imposed by regulations and/or socially enforced by members of a community. 4. * {{ 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.}}
1. [en] A sentence with non-descriptive meaning, such as a command , permission [,] or prohibition . 2. [en] [en] 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: [en] 1. if <math> v\ne0 </math> then <math> \left\ | v\right\ | \ne0 </math> ; 2. 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> ; 3. given two vectors <math> v,w </math> , <math> \left\ | v+w\right\ | \le\left\ | v\right\ | +\left\ | w\right\ | </math> (the triangle inequality ). 3. [en] Any of several generalization s of the above: a field norm , ideal norm , etc. 1. [en] 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_ . 4. [en] A high level of performance in a chess tournament , several of which are required for a player to receive a title .
***** Hyponyms
- [mathematics] [en] , [en] , [en]
***** 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
{{col|en |abnormity |abnormous |normal |normated |normatic |normative |normo- }}
***** Translations
[that which is normal]
- Bashkir: [ba] - Belarusian: [be] - Bulgarian: [bg] - Catalan: [ca] - Chinese: - Czech: [cs] - Danish: [da] - Dutch: [nl] - Esperanto: [eo] - Finnish: [fi] - French: [fr] - Georgian: [ka] - German: [de] , [de] - Greek: [el] - Hungarian: [hu] - Icelandic: [is] - Ingrian: [izh] - Italian: [it] - Japanese: [ja] , [ja] , [ja] - Korean: [ko] - Latin: [la] - Norwegian: [no] - Persian: [fa] , [fa] , [fa] - Polish: [pl] - Portuguese: [pt] - Romanian: [ro] - Russian: [ru] - Slovak: [sk] - Spanish: [es] - Swedish: [sv] - Ukrainian: [uk] [trans-bottom]
[rule that is enforced by members of a community]
- Bashkir: [ba] - Bulgarian: [bg] , [bg] - Catalan: [ca] - Czech: [cs] - Finnish: [fi] - French: [fr] - German: [de] - Indonesian: [id] - Italian: [it] - Japanese: [ja] - Korean: [ko] - Occitan: [oc] , [Mistralian] [oc] - Ottoman Turkish: [ota] - Persian: [fa] , [fa] - Portuguese: [pt] - Romanian: [ro] , [ro] - Russian: [ru] - Spanish: [es] - Ukrainian: [uk] [trans-bottom]
[philosophy, computer science: sentence with non-descriptive meaning]
- Bulgarian: [bg] [trans-bottom]
[math: function that maps vectors to non-negative reals]
- Bulgarian: [bg] - Danish: [da] - Finnish: [fi] - French: [fr] - German: [de] - Hungarian: [hu] - Italian: [it] - Persian: [fa] - Polish: [pl] - Russian: [ru] - Spanish: [es] - Swedish: [sv] [trans-bottom]
[chess: high level of performance]
- Bulgarian: [bg] [trans-bottom]
*** Etymology 2
[en].
**** Verb
[en-verb]
1. [en] To endow (a vector space , etc.) with a norm.
***** Derived terms
- [en] < !--noun-->
***** Translations
[To endow with a norm]
- Bulgarian: [bg] - Dutch: [nl] - French: [fr] - German: [de] - Spanish: [es] [trans-bottom]
***** See also
- [en] , [en]
*** References
References: [1]. [pos= _n._ <sup> 1 </sup>]
*** Further reading
- [R:Webster 1913] - [R:Century 1911]
*** Anagrams
- [en] [en]
** Danish
*** Etymology
From [da].
*** Pronunciation
- [da]
*** Noun
[en]
1. [en] ; standard
**** Declension
[en]
*** References
- [R:DDO]
** Dutch
*** Etymology
Borrowed from [nl], ultimately from [nl]. [nl]
*** Pronunciation
- [nl] - [nl] - [nl]
*** Noun
[f]
1. a [en] , standard
**** Derived terms
{{col|nl |bedrijfsnorm |begrotingsnorm |Maastrichtnorm |normbesef |normloos |normtaal |schrijfnorm |taalnorm }}
**** Related terms
- [nl] - [nl] - [nl]
** Norwegian Bokmål
[lang=no]
*** Etymology
From [nb].
*** Noun
[nb-noun-m1]
1. [en] ( _that which is normal_ )
**** Derived terms
- [nb]
*** References
- [R:The Bokmål Dictionary]
** Norwegian Nynorsk
[lang=nn]
*** Etymology
From [nn].
*** Noun
[nn-noun-f1]
1. A [en] ( _that which is normal_ ).
**** Derived terms
- [normer] - [nn]
*** References
- [R:The Nynorsk Dictionary]
** Swedish
*** Pronunciation
- [sv]
*** Noun
[c]
1. [en] ( _that which is normal_ ) 2. [en] ( _in analysis_ )
**** Declension
[sv-infl-noun-c-er]
**** Related terms
- [sv] - [sv] - [sv] - [sv]
*** Anagrams
- [sv]
** Veps
*** Etymology
From [vep], from [vep]. Cognates include [fi].
*** Noun
[vep]
1. lawn 2. meadow
**** Declension
[norme]