The solution is not correct as the problem reads "The “Cantor set” K is constructed by repeated replacement as follows. Start with the unit line-segment K0 = [0,1]. Form the first approximation 1 K by splitting 0 K into three equal subintervals and removing the first subinterval [0, 1/3] but leaving the other two. Repeat indefinitely, noting that the remaining pairs of subintervals at each stage should be treated separately." so k0 =[0,1] k1 = [1/3,2/3] U [2/3,1] Note [0,1/3] is removed and so on
The solution is not correct as the problem reads "The “Cantor set” K is constructed by repeated replacement as follows. Start with the unit line-segment K0 = [0,1]. Form the first approximation 1 K by splitting 0 K into three equal subintervals and removing the first subinterval [0, 1/3] but leaving the other two. Repeat indefinitely, noting that the remaining pairs of subintervals at each stage should be treated separately." so k0 =[0,1] k1 = [1/3,2/3] U [2/3,1] Note [0,1/3] is removed and so on
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The solution is not correct as the problem reads "The “Cantor set” K is constructed by repeated replacement as follows. Start with the unit line-segment K0 = [0,1]. Form the first approximation 1 K by splitting 0 K into three equal subintervals and removing the first subinterval [0, 1/3] but leaving the other two. Repeat indefinitely, noting that the remaining pairs of subintervals at each stage should be treated separately."
so k0 =[0,1]
k1 = [1/3,2/3] U [2/3,1] Note [0,1/3] is removed and so on
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