a given a norm jj jj on rn express the closed, Mathematics

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a given a norm jj jj on rn express the closed

(a) Given a norm jj jj on Rn, express the closed ball in Rn of radius r with center c as a set.
(b) Given a set A and a vector v, all contained in Rn, express the translate of A by v as a set.
(c) Prove that the translate of a closed ball is also a closed ball.

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Mathematics: a given a norm jj jj on rn express the closed

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