norm

Plural: norms

Noun

A standard, pattern, or rule of behavior.
a standard or model or pattern regarded as typical
- "the current middle-class norm of two children per family"
a statistic describing the location of a distribution
- "it set the norm for American homes"
That which is normal or typical.
A rule that is imposed by regulations and/or socially enforced by members of a community.
A sentence with non-descriptive meaning, such as a command, permission, or prohibition.
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↦|v| or v↦‖v‖, that satisfies the following properties:
if v ne 0 then ‖v‖ ne 0;
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↦|v| or v↦‖v‖, that satisfies the following properties:
given a scalar k, ‖kv‖=|k|·‖v‖, where |k| is the absolute value of k;
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↦|v| or v↦‖v‖, that satisfies the following properties:
given two vectors v,w, ‖v+w‖<‖v‖+‖w‖ (the triangle inequality).
Any of several generalizations of the above: a field norm, ideal norm, etc.
Any of several generalizations of the above: a field norm, ideal norm, etc.
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.
A high level of performance in a chess tournament, several of which are required for a player to receive a title.

Verb

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

Examples

A quaternion algebra (a,b) over ksplits if and only if b is a norm from the field extension k(#92;sqrt#123;a#125;)#47;k, i.e. if and only if there is some x in k(#92;sqrt#123;a#125;) which has field norm exactly equal to b.
It was the norm for seasoned Scrabble players to challenge every questionable word.
Not eating your children is just one of those societal norms.
Unemployment is the norm in this part of the country.

Origin / Etymology

From Latin norma (“a carpenter's square, a rule, a pattern, a precept”). Doublet of norma.

Synonyms

average

Scrabble Score: 6

norm: valid Scrabble (US) TWL Word
norm: valid Scrabble Word in Merriam-Webster MW Dictionary
norm: valid Scrabble Word in International Collins CSW Dictionary

Words With Friends Score: 8

norm: valid Words With Friends Word