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b9f378ab76
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| b9f378ab76 |
@@ -49,6 +49,7 @@ Have an instructor check your solution.
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(0) edge (2)
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(2) edge (3)
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(2) edge[bend left] (4)
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(4) edge[bend left] (2)
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(3) edge (1)
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(4) edge (3)
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(4) edge[loop right] (4)
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@@ -375,7 +375,7 @@ Construct a minimal Sturmain word of order 5.
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\problem{}
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Show that the words we get by \ref{sturmanthm} are minimal Sturmain words. \par
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Argue that the words we get by \ref{sturmanthm} are minimal 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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@@ -2,8 +2,7 @@
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% use [solutions] flag to show solutions.
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\documentclass[
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solutions,
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singlenumbering,
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shortwarning
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singlenumbering
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]{../../../lib/tex/handout}
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\usepackage{../../../lib/tex/macros}
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@@ -158,7 +158,7 @@ the same $A$ and $B$. \par
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\vfill
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\problem{}
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Write an expression equivalent to $A \lor B$ using only $\lnot$, $\rightarrow$, and $()$.
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Write an expression equivalent to $A \lor B$ using only $\lnot$, $\rightarrow$, and $()$?
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\begin{solution}
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$((\lnot A) \rightarrow B)$
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@@ -252,7 +252,7 @@ It is Black's move. Can Black castle? \par
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\difficulty{2}{5}
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Neither Black nor White captured a piece on their last move. \par
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It is Black's move. Show that he cannot castle? \par
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It is Black's move. Can he castle? \par
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\hint{What was White's last move? Check the cases.}
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\manyboards{
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@@ -348,7 +348,7 @@ It is White's move. What was the previous move?
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Bc8,
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pg6,
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Pg5,kh5,
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Pd4,qg4,bh4,
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Pd4,Qg4,Bh4,
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pd3,
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Pd2,Be2,Bg2,
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Nc1,rd1,Ne1,Kf1,Qg1,Rh1
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