norm — English Dictionary

Noun

1. That which is normal or typical.

   Examples

   Unemployment is the norm in this part of the country.

   […] the world needs a constitutional moment that will generate new institutions and actuate a new norm.

   More examples (3)

   "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."

   Projects such as the King's Cross refurbishment, Waterloo blockade, Scottish electrification and the Borders show that the industry can do wonderful work - but that must become the norm, not the exception.

   For most people, this sacrifice is made easily and instinctively. Not so for otroverts, who are neither willing nor able to passively adopt the social scripts that others do. To the otrovert, who is constantly engaged with the choices and consequences of their individual life, social norms follow a circular logic: […]

2. A rule that is imposed by regulations and/or socially enforced by members of a community.

   Examples

   Not eating your children is just one of those societal norms.

   More examples (1)

   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.

3. A required level of achievement.

4. A sentence with non-descriptive meaning, such as a command, permission, or prohibition.

5. 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;

6. 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;

7. 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).

8. Any of several generalizations of the above: a field norm, ideal norm, etc.

9. 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.

   Examples

   More examples (1)

   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.

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

Verb

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

   Related words

   normalizenormalise

Noun

1. a standard or model or pattern regarded as typical

   Broader terms

   standardcriterionmeasuretouchstone

   Examples

   the current middle-class norm of two children per family

2. a statistic describing the location of a distribution

   Synonyms

   average

   Broader terms

   statistic

   Examples

   it set the norm for American homes