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Please answer the question clearly, thanks! (6 points. 3 points each) For the map rs) = 1 4|32| on R, let 0 be the set

Please answer the question clearly, thanks!

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(6 points. 3 points each) For the map rs) = 1 4|32| on R, let 0 be the set of points for which the trajectory remains bounded for all forward iterates. i.e. the invariant set. C is a Cantor set. (a) Describe the set and (b) calculate its length and dimension. Note: We usually consider only the unit interval. here you must consider a slightly different interval

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