- #1
mathgeek4
- 10
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Box counting dimension! please help!
Hi all,
I am working on a problem from Chaos theory, I have to find the box counting dimension of the set {0}U{n^-p} where n is an integer and p>0.
I started this problem by considering p=1. So, the set looks like {0,1,1/2,1/3,...}.
If I take intervals of length 1/2 to cover this set, I need 2 of them.
if I take intervals of length 1/4 to cover this set, I need 3 of them.
This is how far I could go, I am usually able to do the box counting problems easily but this is very confusing.
Please help!
Hi all,
I am working on a problem from Chaos theory, I have to find the box counting dimension of the set {0}U{n^-p} where n is an integer and p>0.
I started this problem by considering p=1. So, the set looks like {0,1,1/2,1/3,...}.
If I take intervals of length 1/2 to cover this set, I need 2 of them.
if I take intervals of length 1/4 to cover this set, I need 3 of them.
This is how far I could go, I am usually able to do the box counting problems easily but this is very confusing.
Please help!