In the construction of Cantor sets, different things can be randomized, including the lengths of the subintervals, their positions and the number of intervals to be kept.

當讀到時間上較近的papers，會與個人的成長歷史對比起來。

Sharkovsky Theorem

Let $f$ be a continuous function defined on the interval $J$, and suppose that $J \supset f(J)$. If $f$ has a point with period $m$, then $f$ has a point with period $n$ for all $n >_s m$.

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$\forall \epsilon > 0$, $\exists \delta > 0$  such that  $0<|x-a|<\delta$   implies   $|f(x)-L| < \epsilon$

$$ \dim_H (C) = \frac{\ln 2}{\ln 3}$$

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