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b9f378ab76 Retrograde edits
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2026-03-04 18:12:42 -08:00
5 changed files with 6 additions and 6 deletions

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@@ -49,6 +49,7 @@ Have an instructor check your solution.
(0) edge (2)
(2) edge (3)
(2) edge[bend left] (4)
(4) edge[bend left] (2)
(3) edge (1)
(4) edge (3)
(4) edge[loop right] (4)

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@@ -375,7 +375,7 @@ Construct a minimal Sturmain word of order 5.
\problem{}
Show that the words we get by \ref{sturmanthm} are minimal Sturmain words. \par
Argue that the words we get by \ref{sturmanthm} are minimal Sturmain words. \par
That is, the word $w$ has length $2n$ and $\mathcal{S}_m(w) = m + 1$ for all $m \leq n$.
\begin{solution}

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@@ -2,8 +2,7 @@
% use [solutions] flag to show solutions.
\documentclass[
solutions,
singlenumbering,
shortwarning
singlenumbering
]{../../../lib/tex/handout}
\usepackage{../../../lib/tex/macros}

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@@ -158,7 +158,7 @@ the same $A$ and $B$. \par
\vfill
\problem{}
Write an expression equivalent to $A \lor B$ using only $\lnot$, $\rightarrow$, and $()$.
Write an expression equivalent to $A \lor B$ using only $\lnot$, $\rightarrow$, and $()$?
\begin{solution}
$((\lnot A) \rightarrow B)$

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@@ -252,7 +252,7 @@ It is Black's move. Can Black castle? \par
\difficulty{2}{5}
Neither Black nor White captured a piece on their last move. \par
It is Black's move. Show that he cannot castle? \par
It is Black's move. Can he castle? \par
\hint{What was White's last move? Check the cases.}
\manyboards{
@@ -348,7 +348,7 @@ It is White's move. What was the previous move?
Bc8,
pg6,
Pg5,kh5,
Pd4,qg4,bh4,
Pd4,Qg4,Bh4,
pd3,
Pd2,Be2,Bg2,
Nc1,rd1,Ne1,Kf1,Qg1,Rh1