norm

That which is normal or typical.

• Unemployment is the norm in this part of the country.

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.

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 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.

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

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