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norm |
3 definitions found From Webster's Revised Unabridged Dictionary (1913) [web1913]: Norm \Norm\, n. [L. norma a rule See {Normal}, a.] 1. A rule or authoritative standard; a model; a type 2. (Biol.) A typical, structural unit; a type --Agassiz. From WordNet r 1.6 [wn]: norm n 1: a standard or model or pattern regarded as typical: "the current middle-class norm of two children per family" 2: a statistic describing the location of a distribution: "it set the norm for American homes" [syn: {average}] From The Free On-line Dictionary of Computing (13 Mar 01) [foldoc]: normA 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 towards 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}. (1998-07-05)
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