norm

Etymology 1
From. .

Noun

 * 1) That which is normal or typical.
 * 2) A rule that is imposed by regulations and/or socially enforced by members of a community.
 * 3)  A sentence with non-descriptive meaning, such as a command, permission, or prohibition.
 * 4)   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 $$v\mapsto\left\|v\right\|$$, that satisfies the following properties:
 * 5) if $$v\ne0$$ then $$\left\|v\right\|\ne0$$;
 * 6) given a scalar $$k$$, $$\left\|kv\right\|=\left|k\right|\cdot\left\|v\right\|$$, where $$\left|k\right|$$ is the absolute value of $$k$$;
 * 7) given two vectors $$v,w$$, $$\left\|v+w\right\|\le\left\|v\right\|+\left\|w\right\|$$ (the triangle inequality).
 * 8)  Any of several generalizations of the above: a matrix norm, operator norm, etc.
 * 9)  A high level of performance in a chess tournament, several of which are required for a player to receive a title.
 * 1)   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 $$v\mapsto\left\|v\right\|$$, that satisfies the following properties:
 * 2) if $$v\ne0$$ then $$\left\|v\right\|\ne0$$;
 * 3) given a scalar $$k$$, $$\left\|kv\right\|=\left|k\right|\cdot\left\|v\right\|$$, where $$\left|k\right|$$ is the absolute value of $$k$$;
 * 4) given two vectors $$v,w$$, $$\left\|v+w\right\|\le\left\|v\right\|+\left\|w\right\|$$ (the triangle inequality).
 * 5)  Any of several generalizations of the above: a matrix norm, operator norm, etc.
 * 6)  A high level of performance in a chess tournament, several of which are required for a player to receive a title.

Hyponyms

 * , p-adic absolute value,

Translations

 * Bashkir: норма
 * Belarusian: но́рма
 * Bulgarian:
 * Catalan:
 * Chinese:
 * Mandarin: ,
 * Czech:
 * Danish:
 * Dutch:
 * Esperanto: normo
 * Finnish:
 * French:
 * Georgian: ნორმა
 * German: ,
 * Greek:
 * Ancient: κριτήριον
 * Hungarian:
 * Icelandic: norm
 * Ingrian: norma
 * Italian:
 * Japanese:, ,
 * Korean:
 * Latin: norma
 * Norwegian:
 * Persian:, ,
 * Polish:
 * Portuguese:
 * Romanian:
 * Russian:
 * Slovak: norma
 * Spanish:
 * Swedish:
 * Ukrainian:


 * Bashkir: норма
 * Bulgarian:
 * Catalan:
 * Czech:
 * Finnish:
 * French:
 * German:
 * Indonesian:
 * Italian:
 * Japanese:
 * Korean:
 * Occitan:, normo
 * Ottoman Turkish: قاعده
 * Persian: ,
 * Portuguese:
 * Romanian: ,
 * Russian:
 * Spanish:
 * Ukrainian:


 * Danish:
 * Finnish:
 * French:
 * German:
 * Hungarian:
 * Italian:
 * Persian:
 * Polish:
 * Russian:
 * Swedish:

Etymology 2
.

Verb

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

Translations

 * Bulgarian:
 * Dutch:
 * French:
 * German:

Etymology
From.

Noun

 * 1) ; standard

Etymology
Borrowed from, ultimately from.

Noun

 * A,.

Etymology
From.

Noun

 * 1)  (that which is normal)

Etymology
From.

Noun

 * 1) A  (that which is normal).

Noun

 * 1)  (that which is normal)
 * 2)  (in analysis)

Etymology
From, from. Cognates include 🇨🇬.

Noun

 * 1) lawn
 * 2) meadow