The p-norm of a vector v = (v 1 ,v 2 , . . . ,v n

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The p-norm of a vector v = (v1,v2, . . . ,vn) in n-dimensional space is defined as

|M|= V* +v3 + .…·+v%. П9


For the special case of p = 2, this results in the traditional Euclidean norm, which represents the length of the vector. For example, the Euclidean norm of a two-dimensional vector with coordinates (4,3) has a Euclidean norm of ˆš42+32 = ˆš16+9 = ˆš25 = 5. Give an implementation of a method named norm such that norm(v, p) returns the p-norm value of v and norm(v) returns the Euclidean norm of v, where v is represented as an array of coordinates.

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Data Structures and Algorithms in Java

ISBN: 978-1118771334

6th edition

Authors: Michael T. Goodrich, Roberto Tamassia, Michael H. Goldwasser

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