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@@ -102,6 +102,20 @@ LOOP: STORE R2, @R1 ; *A = i
\end{enumerate}
\end{problem}
+An example equation which defines $e$:
+\begin{equation}
+ \exists! e \in \Re \left(\int_1^e \frac{1}{t} dt = 1\right).
+\end{equation}
+
+The definition of the Mandelbrot set:
+\begin{equation}
+\begin{split}
+ c \in \mathbb{C},\, z_0 = 0, \\
+ \lim_{n \to \infty} z_n = z_{n - 1}^2 + c \ne \infty
+ \implies c \in \mathcal{M}
+\end{split}
+\end{equation}
+
\begin{solution}
The blue text here is a solution; it will disappear if the
\Tt{solutions} class option is removed.