Norm
Part of speech: verb
Definition: To endow (a vector space, etc) with a norm.
Part of speech: noun
Definition: (the norm) That which is regarded as normal or typical. A rule that is enforced by members of a community A sentence with non-descriptive meaning, such as command, permission, and prohibition. A mode or average A function, denoted |v| or ||v||, that maps vectors to non-negative scalars and has the following properties: # |v| > 0 and |v| = 0 iff v = 0; # given a scalar k, |kv| = |k|.|v|, where |k| is the absolute value of k; # given two vectors v and w, |v + w| ≤ |v| + |w| (the triangle inequality).
Standard
Part of speech: noun
Definition: A level of quality or attainment.Something used as a measure for comparative evaluations.An object supported in an upright position.A musical work of established popularity.The flag or ensign carried by a cavalry unit.A rule or set of rules or requirements which are widely agreed upon or imposed by government.A bottle of wine containing 0.750 liters of fluid.One of the upright members that supports the horizontal axis of a transit or theodolite.A manual transmission vehicle.
Part of speech: adjective
Definition: Falling within an accepted range of size, amount, power, quality, etc.Growing on an erect stem of full height.Having recognized excellence or authority.Of a usable or serviceable grade or quality.Having a manual transmission.