Cleanup
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@ -275,7 +275,7 @@ Attempt the above construction a few times. Is $w$ a minimal Sturmian word?
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\theorem{}
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\theorem{}<sturmanthm>
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We can construct a miminal Sturmian word of order $n \geq 3$ as follows:
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\begin{itemize}
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\item Start with $G_2$, create $R_2$ by removing one edge.
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@ -287,6 +287,7 @@ We can construct a miminal Sturmian word of order $n \geq 3$ as follows:
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\item Construct a word $w$ using the Eulerian path, as before. \par
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This is a minimal Sturmian word.
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\end{itemize}
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For now, assume this theorem holds. We'll prove it in the next few problems.
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\problem{}<sturmianfour>
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Construct a minimal Sturmain word of order 4.
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@ -374,7 +375,7 @@ Construct a minimal Sturmain word of order 5.
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\problem{}
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Argue that the words we get are mimimal Sturmain words: \par
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Argue that the words we get by \ref{sturmanthm} are mimimal Sturmain words. \par
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That is, the word $w$ has length $2n$ and $\mathcal{S}_m(w) = m + 1$ for all $m \leq n$.
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\begin{solution}
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