norm

Meanings

Plural: norms

Noun

• 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.

Synonyms

average

Related Words

abnormity, abnormous, normal, normalise, normalize, normated, normatic, normative, normo-