Norm

n.	1.
	1.	A rule or authoritative standard; a model; a type; as, deviations from the norm are not tolerated.
	2.	(Biol.) A typical, structural unit; a type.

Noun	1.	norm - a standard or model or pattern regarded as typical; "the current middle-class norm of two children per family"
	2.	norm - a statistic describing the location of a distribution; "it set the norm for American homes" Synonyms: average

(mathematics)

norm - A real-valued function modelling the length of a vector. The norm must be homogeneous and symmetric and fulfil the following condition: the shortest way to reach a point is to go straight toward it. Every convex symmetric closed surface surrounding point 0 introduces a norm by means of Minkowski functional; all vectors that end on the surface have the same norm then. The most popular norm is the Euclidean norm; it is calculated by summing up squares of all coordinates and taking the square root; this is the essence of Pythagorus's theorem. In the infinite-dimensional case, the sum is infinite or is replaced with an integral when the number of dimensions is uncountable.

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