Box-Counting Dimension
Practice Problem 4 Answer
Plotting these points, we see they lie on a straight line of slope about 1.63.
(Log(1/r
0
),Log(N(r
0
))) = (0,0)
(Log(1/r
1
),Log(N(r
1
))) = (.477, .778)
(Log(1/r
2
),Log(N(r
2
))) = (.954, 1.556)
(Log(1/r
3
),Log(N(r
3
))) = (1.431, 2.334)
(Log(1/r
4
),Log(N(r
4
))) = (1.908, 3.113)
(Log(1/r
5
),Log(N(r
5
))) = (2.386, 3.891)
   
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Practice Problem 4 Answer
.