Norm

English

Pronunciation

• Template:IPA
• Template:EnPR, Template:IPA
  • Template:Audio
• Template:Rhymes

Etymology 1

Template:Root From Template:Bor. Template:Doublet.

Noun

1. That which is normal or typical.

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   • Template:Quote-book
   • Template:Quote-journal
   • Template:Quote-journal
2. A rule that is imposed by regulations and/or socially enforced by members of a community.

   Template:Ux

   • Template:Quote-book
3. Template:Lb A sentence with non-descriptive meaning, such as a command, permissionTemplate:, or prohibition.
4. Template:Senseid Template:Lb 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 $v\mapsto \left|v\right|$ or $v\mapsto \Vert v\Vert$, that satisfies the following properties: Template:C
   1. if $v\ne 0$ then $\Vert v\Vert \ne 0$;
   2. given a scalar $k$, $\Vert kv\Vert =\left|k\right|\cdot \Vert v\Vert$, where $\left|k\right|$ is the absolute value of $k$;
   3. given two vectors $v,w$, $\Vert v+w\Vert \le \Vert v\Vert +\Vert w\Vert$ (the triangle inequality).
5. Template:Lb Any of several generalizations of the above: a field norm, ideal norm, etc.
   1. Template:Lb 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.

      Template:Ux

6. Template:Lb A high level of performance in a chess tournament, several of which are required for a player to receive a title.

Hyponyms

• Template:Sense Template:L, Template:L, Template:L

Related terms

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Translations

• Bashkir: Template:T
• Belarusian: Template:T
• Bulgarian: Template:T+
• Catalan: Template:T+
• Chinese:

  Mandarin: Template:T+, Template:T+

• Czech: Template:T+
• Danish: Template:T+
• Dutch: Template:T+
• Esperanto: Template:T
• Finnish: Template:T+
• French: Template:T+
• Georgian: Template:T
• German: Template:T+, Template:T+
• Greek: Template:T+

  Ancient: Template:T

• Hungarian: Template:T+
• Icelandic: Template:T
• Ingrian: Template:T
• Italian: Template:T+
• Japanese: Template:T+, Template:T+, Template:T+
• Korean: Template:T+
• Latin: Template:T
• Norwegian: Template:T+
• Persian: Template:T+, Template:T+, Template:T+
• Polish: Template:T+
• Portuguese: Template:T+
• Romanian: Template:T+
• Russian: Template:T+
• Slovak: Template:T
• Spanish: Template:T+
• Swedish: Template:T+
• Ukrainian: Template:T+

• Bashkir: Template:T
• Bulgarian: Template:T+
• Catalan: Template:T+
• Czech: Template:T+
• Finnish: Template:T+
• French: Template:T+
• German: Template:T+
• Indonesian: Template:T+
• Italian: Template:T+
• Japanese: Template:T+
• Korean: Template:T+
• Occitan: Template:T+, Template:Qualifier Template:T
• Ottoman Turkish: Template:T
• Persian: Template:T+, Template:T+
• Portuguese: Template:T+
• Romanian: Template:T+, Template:T+
• Russian: Template:T+
• Spanish: Template:T+
• Ukrainian: Template:T+

• Danish: Template:T+
• Finnish: Template:T+
• French: Template:T+
• German: Template:T+
• Hungarian: Template:T+
• Italian: Template:T+
• Persian: Template:T+
• Polish: Template:T+
• Russian: Template:T+
• Swedish: Template:T+

Etymology 2

Template:Back-form.

Verb

1. Template:Lb To endow (a vector space, etc.) with a norm.

Derived terms

• Template:L

Translations

• Bulgarian: Template:T+
• Dutch: Template:T+
• French: Template:T+
• German: Template:T+

See also

• Template:L, Template:L

Further reading

• Template:R:Webster 1913
• Template:R:Century 1911

Anagrams

• Template:Anagrams

Danish

Etymology

From Template:Der.

Pronunciation

• Template:IPA

Noun

1. Template:L; standard

References

• Template:R:DDO

Dutch

Etymology

Borrowed from Template:Bor, ultimately from Template:Der. Template:Etystub

Pronunciation

• Template:IPA
• Template:Hyphenation
• Template:Rhyme

Noun

1. a Template:L, standard

Derived terms

• Template:L
• Template:L
• Template:L
• Template:L
• Template:L
• Template:L
• Template:L
• Template:L

Related terms

• Template:L
• Template:L
• Template:L

Norwegian Bokmål

Etymology

From Template:Der.

Noun

1. Template:L (that which is normal)

Derived terms

• Template:L

References

• Template:R:The Bokmål Dictionary

Norwegian Nynorsk

Etymology

From Template:Der.

Noun

1. A Template:L (that which is normal).

Derived terms

• Template:Nn-inf
• Template:L

References

• Template:R:The Nynorsk Dictionary

Swedish

Pronunciation

• Template:Audio

Noun

1. Template:L (that which is normal)
2. Template:L (in analysis)

Related terms

• Template:L
• Template:L
• Template:L
• Template:L

Anagrams

• Template:Anagrams

Veps

Etymology

From Template:Inh, from Template:Inh. Cognates include Template:Cog.

Noun

1. lawn
2. meadow