Minor cleanup

Advanced/Retrograde Analysis/parts/01 intro.tex

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+\section{Introduction}
+
+To solve the problems in this handout, you mustn't be a chess master---you just need to know how the pieces move.
+I'm sure you're all familiar with the basic rules of chess. The odd ones are listed below.
+
+\generic{Board orientation:}
+The bottom-left square of a chessboard is \textbf{always} black.
+
+\generic{Starting pawns \& en passant:}
+A pawn may move two squares on its first turn. \par
+An opposing pawn may capture this pawn as it does this. \par
+This is called an \textit{en passant} capture (Which means \say{in passing} in French)
+
+\begin{minipage}{0.3\textwidth}
+	\begin{center}
+		\chessboard[
+			smallboard,
+			maxfield=b4,
+			setpieces = {
+				pa4,pb3,
+				Pa1,Pb1
+			},
+			addpgf={
+				\tikz[overlay]
+				\draw[ocyan,line width=0.1em,->]
+				(a1)--(a3);
+			},
+		]
+
+		White moves two squares
+	\end{center}
+\end{minipage}
+\hfill
+\begin{minipage}{0.3\textwidth}
+	\begin{center}
+		\chessboard[
+			smallboard,
+			maxfield=b4,
+			setpieces = {
+				pa4,pb3,
+				Pa3,Pb1
+			},
+			addpgf={
+				\tikz[overlay]
+				\draw[ocyan,line width=0.1em,->]
+				(b3)--(a2);
+			},
+		]
+
+		Black captures en passant
+	\end{center}
+\end{minipage}
+\hfill
+\begin{minipage}{0.3\textwidth}
+	\begin{center}
+		\chessboard[
+			smallboard,
+			maxfield=b4,
+			setpieces = {
+				pa4,pa2,
+				Pb1
+			},
+		]
+
+		Result
+	\end{center}
+\end{minipage}
+
+\vfill
+
+\generic{Promotion:}
+When a pawn reaches the last row of the board, it may be promoted to \textbf{any} other piece.\par
+(Except a king or a pawn, of course.)
+
+\generic{Castling:}
+A king and rook can \textit{castle} under the following conditions:
+\begin{itemize}
+	\item No pieces are in the way
+	\item The king has not yet moved
+	\item The rook has not yet moved
+	\item The king is not in check
+	\item The king does not move through check while castling
+\end{itemize}
+
+\begin{minipage}{0.3\textwidth}
+	\begin{center}
+		\chessboard[
+			smallboard,
+			maxfield=h2,
+			setpieces = {
+				Ra1,Ke1,Rh1
+			},
+			addpgf={
+				\tikz[overlay]
+				\draw[ocyan,line width=0.1em,->]
+				(e1)--(g1);
+				\tikz[overlay]
+				\draw[ocyan,line width=0.1em,->]
+				(e1)--(c1);
+			},
+			hmarginwidth=0mm
+		]
+
+		Possible castle directions
+	\end{center}
+\end{minipage}
+\hfill
+\begin{minipage}{0.3\textwidth}
+	\begin{center}
+		\chessboard[
+			smallboard,
+			maxfield=h2,
+			setpieces = {
+				Rd1,Kc1,Rh1
+			},
+			hmarginwidth=0mm
+		]
+
+		Queenside castle result
+	\end{center}
+\end{minipage}
+\hfill
+\begin{minipage}{0.3\textwidth}
+	\begin{center}
+		\chessboard[
+			smallboard,
+			maxfield=h2,
+			setpieces = {
+				Ra1,Kg1,Rf1
+			},
+			hmarginwidth=0mm,
+			]
+
+		Kingside castle result
+	\end{center}
+\end{minipage}
+\par
+
+\vfill
+
+\generic{General Strategies:}
+Below is a list of questions you'll want to ask yourself if you get stuck. \par
+\note[Note]{Yes, I know you don't have the problems yet. Patience.}
+
+\begin{itemize}
+	\item What was the last move? (By black or white)
+	\item Were there any promotions? This may be indirect:\par
+	if White needs a third bishop, there was a promotion.\par
+	\note{Promotions often resolve seemingly impossible situations.}
+\end{itemize}
+
+\vfill
+\pagebreak