Box-Counting Dimension
Practice Problem 1 Answer
Plotting these points, we see they lie on a straight line of slope about 1.46.
(Log(1/r
0
),Log(N(r
0
))) = (0, 0)
(Log(1/r
1
),Log(N(r
1
))) = (.477, .699)
(Log(1/r
2
),Log(N(r
2
))) = (.954, 1.398)
(Log(1/r
3
),Log(N(r
3
))) = (1.431, 2.097)
(Log(1/r
4
),Log(N(r
4
))) = (1,908, 2.796)
(Log(1/r
5
),Log(N(r
5
))) = (2.386, 3.495)
   
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Practice Problem 1 Answer
.