- E6
[0YS] Let \(P(π)\) be the maximum number of balls, with radius \(π\) and centered in \(K\), that are disjoint. Show that
\[ N(2π)β€ P(π) β€ N(π/2)~ . \]So the dimension can also be calculated as
\begin{equation} \lim _{πβ 0+}\frac{\log P(π)}{\log (1/π)}~ .\label{eq:dim_ K_ packing} \end{equation}7Such a construction is known as ball packing.
Solution 1
EDB β 0YS
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Authors:
"Mennucci , Andrea C. G."
.
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