Thank you. its integral measure
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please help me with this question now Thank you. its integral measure
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please help me with this question now Thank you. its integral measure
please help me with this question now
Thank you. its integral measure
(b) Let C be the Cantor set and A : [0,1] + R be the Cantor-Lebesgue singular function described at lectures. Describe the sequence (A.) which converges to A, and prove that [10 marks) i. C is a closed and bounded set and has measure zero. [10 marks ii. C does not contain any non-empty open interval. (5 marks iii. if x EC has the ternary expansion r = 3 for ai e {0,2), show that A (r) has the binary expansion 2./2). (15 marks
Thank you. its integral measure
(b) Let C be the Cantor set and A : [0,1] + R be the Cantor-Lebesgue singular function described at lectures. Describe the sequence (A.) which converges to A, and prove that [10 marks) i. C is a closed and bounded set and has measure zero. [10 marks ii. C does not contain any non-empty open interval. (5 marks iii. if x EC has the ternary expansion r = 3 for ai e {0,2), show that A (r) has the binary expansion 2./2). (15 marks