norm

noun

1. 1

   That which is normal or typical.

   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.

   "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.

2. 2

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

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

   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. 3

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

4. 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↦|v| or v↦‖v‖, that satisfies the following properties: if v ne 0 then ‖v‖ ne 0;

5. 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: given a scalar k, ‖kv‖=|k|·‖v‖, where |k| is the absolute value of k;

6. 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 two vectors v,w, ‖v+w‖<‖v‖+‖w‖ (the triangle inequality).

7. 7

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

8. 8

   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 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.

9. 9

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

verb

1. 1

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

Forms

plural

norms

past tense

normed

past participle

normed

present participle

norming

third person singular

norms