presentation: added examples of equation and align

workshops/latex/examples/align.tex

+\begin{align}
+\vec{x}^2 &= \|\vec{x}\|^2\\
+          &= x_1^2 + x_2^2
+\end{align}

workshops/latex/examples/equation.tex

+\begin{equation}
+  1 + 1 = 2
+\end{equation}

workshops/latex/latex.tex

@@ -16,6 +16,7 @@
 \usetikzlibrary{backgrounds, fit, matrix, calc}
 \usepackage{listings}
 \usepackage{calc}
+\usepackage{mathtools}
 \graphicspath{{figures/}{examples/}}
 \usefonttheme{professionalfonts}
 \newcommand{\bsl}{\textbackslash}
@@ -35,7 +36,7 @@
   commentstyle=\itshape\color{RoyalBlue},
   keywordstyle=\color{RoyalBlue}\bfseries,
   moretexcs={lstset,subsubsection,paragraph,subsection,color,sl,textcolor,lstinputlisting,newfontfamily,fontsize,section,documentclass,begin,includegraphics,hello,bye,setmainlanguage,setlength},
-  morekeywords={center,document,flushleft,flushright,itemize,enumerate,tabular,article,polyglossia,geometry,amsmath,graphicx,xcolor,hyperref,figure,babel,mathtools}
+  morekeywords={center,document,flushleft,flushright,itemize,enumerate,tabular,article,polyglossia,geometry,amsmath,graphicx,xcolor,hyperref,figure,babel,mathtools,equation,align}
 }
 
 \makeatletter
@@ -377,18 +378,34 @@
 \newcommand{\highlightBlu}[1]{{\color{RoyalBlue}\texttt{\bfseries #1}}}
 
 \section{Mathematik}
-% TODO: Anders strukturieren, explizites Beispiel für \begin{equation}... ?
 \begin{frame}[fragile]{Mathematik}
-  \structure{Umgebungen:} \\[10pt]
+  \structure{Umgebungen:}
   \begin{itemize}
-    \item \highlightBlu{equation}{\bfseries:} Vom Text abgesetzte Gleichung 
-      \\[10pt]
-    \item \highlightBlu{align}{\bfseries:} Wie \highlightBlu{equation}, nur dass man an \highlightRed{\&}
-      ausrichten kann  \\[10pt]
+    \item \highlightBlu{equation}{\bfseries:} Vom Text abgesetzte Gleichung
+      \\[4pt]
+      \begin{tikzpicture}
+        \node[matrix, column sep=4pt, row sep=4pt] {
+          \node[draw=blue!20!lightgray,line width=2pt]{
+            \begin{minipage}[t][11mm][c]{.3\textwidth}
+              \lstinputlisting{examples/equation.tex}
+            \end{minipage}
+          };&
+          \node{\includegraphics[width=12pt]{figures/texstudio-compile.pdf}};&
+          \node[draw=blue!20!lightgray,line width=2pt]{
+            \begin{minipage}[t][11mm][c]{.3\textwidth}
+              \vspace*{-2pt}
+              \input{examples/equation}
+            \end{minipage}
+          };\\
+        };
+      \end{tikzpicture}\\[8pt]
+    \item \highlightBlu{align}{\bfseries:} Wie \highlightBlu{equation}, nur 
+      dass man an \highlightRed{\&} ausrichten kann\\[10pt]
     \item Wie bei z.\,B.  \highlightRed{\textbackslash section*\{...\}} auch:\\
       \highlightBlu{*} für nicht-nummerierte Gleichungen, also
       \highlightRed{\textbackslash begin\{}%
-      \highlightBlu{align*}\highlightRed{\}} \\[10pt]
+      \highlightBlu{align*}\highlightRed{\}}
+      \\[10pt]
   \end{itemize}
   \structure{Im Textfluss} kann man Gleichungen mit \highlightRed{\$...\$}
   schreiben, also z.\,B.
@@ -396,13 +413,13 @@
     \begin{tikzpicture}
       \node[matrix, column sep=4pt, row sep=6pt] {
       \node[draw=blue!20!lightgray,line width=2pt]{
-        \begin{minipage}[t][7mm][c]{.45\textwidth}
+        \begin{minipage}[t][6mm][c]{.45\textwidth}
           \texttt{Gleichung: \highlightRed{\$x\^\ 2 = 25\$}}
         \end{minipage}
       };&
       \node{\includegraphics[width=12pt]{figures/texstudio-compile.pdf}};&
       \node[draw=blue!20!lightgray,line width=2pt]{
-        \begin{minipage}[t][7mm][c]{.3\textwidth}
+        \begin{minipage}[t][6mm][c]{.3\textwidth}
           \textrm{Gleichung: $x^2 = 25$}
         \end{minipage}
       };\\
@@ -413,21 +430,35 @@
 
 \begin{frame}[fragile]{Mathematik -- Beispiele}
   \begin{tikzpicture}
-      \node[matrix, column sep=4pt, row sep=6pt] {
-        \node[draw=blue!20!lightgray, line width=2pt]{
-          \begin{minipage}[t][7mm][c]{.4\textwidth}
-            \centering
-            \scriptsize \ttfamily \verb|\vec{x}^2 = x_1^2 + x_2^2|
+      \node[matrix, column sep=4pt, row sep=4pt] {
+        \node[draw=blue!20!lightgray,line width=2pt]{
+          \begin{minipage}[t][14.5mm][c]{.4\textwidth}
+            \vspace{1pt}
+            \lstinputlisting{examples/align.tex}
           \end{minipage}
-        }; &
-        \node{\includegraphics[width=16pt]{figures/texstudio-compile.pdf}}; &
-        \node[draw=blue!20!lightgray, line width=2pt]{
-          \begin{minipage}[t][7mm][c]{.4\textwidth}
-            \centering
-            $\displaystyle \vec x^2 = x_1^2 + x_2^2 $
+        };&
+        \node{\includegraphics[width=12pt]{figures/texstudio-compile.pdf}};&
+        \node[draw=blue!20!lightgray,line width=2pt]{
+          \begin{minipage}[t][14.5mm][c]{.4\textwidth}
+            \null\hfill$\displaystyle%
+            \vec{x}=\mathrlap{\|\vec{x}\|^2}\hphantom{x_1^2+x_2^2}\hfill\mathllap{(1)}$\\[2pt]
+            \null\hfill$\displaystyle\hphantom{\vec{x}}=x_1^2+x_2^2{}\hfill\mathllap{(2)}$\\[-6pt]
           \end{minipage}
-        };
-        \\
+        };\\
+        %\node[draw=blue!20!lightgray, line width=2pt]{
+        %  \begin{minipage}[t][7mm][c]{.4\textwidth}
+        %    \centering
+        %    \scriptsize \ttfamily \verb|\vec{x}^2 = x_1^2 + x_2^2|
+        %  \end{minipage}
+        %}; &
+        %\node{\includegraphics[width=16pt]{figures/texstudio-compile.pdf}}; &
+        %\node[draw=blue!20!lightgray, line width=2pt]{
+        %  \begin{minipage}[t][7mm][c]{.4\textwidth}
+        %    \centering
+        %    $\displaystyle \vec x^2 = x_1^2 + x_2^2 $
+        %  \end{minipage}
+        %};
+        %\\
         \node[draw=blue!20!lightgray, line width=2pt]{
           \begin{minipage}[t][10mm][c]{.4\textwidth}
             \centering
@@ -444,7 +475,7 @@
         };
         \\
         \node[draw=blue!20!lightgray, line width=2pt]{
-          \begin{minipage}[t][7mm][c]{.4\textwidth}
+          \begin{minipage}[t][6mm][c]{.4\textwidth}
             \centering
             \scriptsize \ttfamily
             \verb|\nabla\cdot\vec{E} = 4\pi\rho|
@@ -452,14 +483,14 @@
         }; &
         \node{\includegraphics[width=16pt]{figures/texstudio-compile.pdf}}; &
         \node[draw=blue!20!lightgray, line width=2pt]{
-          \begin{minipage}[t][7mm][c]{.4\textwidth}
+          \begin{minipage}[t][6mm][c]{.4\textwidth}
             \centering
             $\displaystyle\nabla\cdot\vec E = 4\pi\rho$
           \end{minipage}
         };
         \\
         \node[draw=blue!20!lightgray, line width=2pt]{
-          \begin{minipage}[t][7mm][c]{.4\textwidth}
+          \begin{minipage}[t][6mm][c]{.4\textwidth}
             \centering
             \scriptsize \ttfamily
             \verb|\sqrt{e^{i\pi}} = \pm i|
@@ -467,14 +498,14 @@
         }; &
         \node{\includegraphics[width=16pt]{figures/texstudio-compile.pdf}}; &
         \node[draw=blue!20!lightgray, line width=2pt]{
-          \begin{minipage}[t][7mm][c]{.4\textwidth}
+          \begin{minipage}[t][6mm][c]{.4\textwidth}
             \centering
             $\displaystyle \sqrt{e^{i\pi}} = \pm i$
           \end{minipage}
         };
         \\
         \node[draw=blue!20!lightgray, line width=2pt]{
-          \begin{minipage}[t][10mm][c]{.4\textwidth}
+          \begin{minipage}[t][9mm][c]{.4\textwidth}
             \centering
             \scriptsize \ttfamily
             \verb|\sin(30^\circ) =| \verb|\frac{\sqrt{3}}{2}|
@@ -482,14 +513,14 @@
         }; &
         \node{\includegraphics[width=16pt]{figures/texstudio-compile.pdf}}; &
         \node[draw=blue!20!lightgray, line width=2pt]{
-          \begin{minipage}[t][10mm][c]{.4\textwidth}
+          \begin{minipage}[t][9mm][c]{.4\textwidth}
             \centering
             $\displaystyle \sin(30^\circ) = \frac{\sqrt{3}}{2}$
           \end{minipage}
         };
         \\
         \node[draw=blue!20!lightgray, line width=2pt]{
-          \begin{minipage}[t][7mm][c]{.4\textwidth}
+          \begin{minipage}[t][6mm][c]{.4\textwidth}
             \centering
             \scriptsize \ttfamily
             \verb|m\approx 80\,\mathrm{kg}|
@@ -497,7 +528,7 @@
         }; &
         \node{\includegraphics[width=16pt]{figures/texstudio-compile.pdf}}; &
         \node[draw=blue!20!lightgray, line width=2pt]{
-          \begin{minipage}[t][7mm][c]{.4\textwidth}
+          \begin{minipage}[t][6mm][c]{.4\textwidth}
             \centering
             $\displaystyle m\approx 80\,\mathrm{kg}$
           \end{minipage}