Complete Definition of "norm"

see|Norm
English

Pronunciation
(UK): IPA|/n��m/, SAMPA|/nO:m/
(US): AHD|nôrm, IPA|/n�rm/, SAMPA|/nOrm/
:Rhymes: Rhymes:English:-��(r)m|-��(r)m

Etymology 1

Noun
en-noun
wikipedia

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

#: Unemployment is the norm in this part of the country.

  1. sociology A rule that is enforced by members of a community
  2. mathematics A mode or average
  3. analysis A function, denoted |v| or ||v||, that maps vectors to non-negative scalars and has the following properties:

v| > 0 or |v| 0 iff v 0;
given a scalar k, |kv| = |k|.|v|, where |k| is the absolute value of k;
## given two vectors v and w, |v + w| ≤ |v| + |w| (the triangle inequality).

Derived terms
top4
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|C<sup>r</sup>-norm
cross norm
Dedekind-Hasse norm
dual norm
Euclidean matrix norm
Euclidean norm
Euclidean vector norm
exonorm
extended norm
field norm
flat norm
four-vector norm
Frobenius matrix norm
mid4
Frobenius norm
Frobenius norm function
grandmaster norm
graph norm
Hardy norm
Hilbert-Schmidt norm
ideological norm
induced norm
infinity-norm|�-norm
integral flat norm
l1 norm|L<sup>1</sup>-norm
l2 norm|l<sup>2</sup>-norm
L-infinity norm
mass norm
matrix F-norm|matrix F-norm
matrix norm
matrix p-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
natural norm
normable
mid4
normed<!--derived from the noun-->
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|p-adic norm
peremptory norm
p-norm|p-norm
mid4
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|vector p-norm

Related terms
abnormity
abnormous
normal
normated
normatic
normative
normo-

Translations
trans-top|that which is normal
Hungarian: norma
trans-mid
Norwegian: norm#Norwegian|norm
Swedish: #Swedish|norm
trans-bottom

trans-top|in analysis
Hungarian: norma
trans-mid
Swedish: #Swedish|norm
trans-bottom

trans-top|rule that is enforced by members of a community
Czech: norma f
trans-mid
trans-bottom

Etymology 2
back-form|normed

Verb
en-verb

  1. analysis To endow (a vector space, etc) with a norm.

Derived terms
norming<!--noun-->


Norwegian

Noun
no-noun-m1|norm

  1. #English|norm (that which is normal)

Swedish
sv-noun|gender=Common|norm|normen|normer|normerna|norms|normens|normers|normernas

Pronunciation
audio|Sv-en norm.ogg|audio

Noun
norm

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

See also
normera
normalisera

Category:Swedish nouns
Category:Functional analysis
Category:Mathematics

fa:norm
io:norm
ku:norm
nl:norm
ru:norm
simple:norm
fi:norm
sv:norm
vi:norm
tr:norm
zh:norm

Revision and Credits for"norm"
Dictionary content provided from Wiktionary.org under the
GNU Free Documentation License
 
 

 Find:
  Words Starting With:
  Words Ending With:
  Words Containing:
  Words That Match:

 
 Translate Into:
  
Dutch   French   German
  
Italian   Spanish
    Show results per page.

Browse the Dictionary
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

   
Allwords Copyright 1998-2024 All rights reserved.