Is there someone who can explain me, why the fraction in align-mode looks bigger than the one in the math-mode? I would like to have the same size in both modes, hehe...Thank you!
\documentclass[a4paper, fontsize=11pt]{scrbook}
\usepackage{geometry} \geometry{a4paper, top=25mm, left=25mm, right=25mm, bottom=20mm, headsep=10mm, footskip=12mm} % Seitenlayout
\usepackage[ngerman]{babel}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\begin{document}
\begin{center}
\begin{math} E[\pi_{1}(s_{11}, s_{21})] = \frac{5}{6} \left(\frac{1}{2}\right) + \frac{1}{6} (-1) = \frac{1}{4} \end{math}
\end{center}
\begin{align*}
E[\pi_{1}(s_{11}, s_{22})] &= \frac{5}{6} \left(\frac{1}{2}\right) + \frac{1}{6} (-1) =\frac{1}{4} \\
E[\pi_{1}(s_{11}, s_{23})] &= \frac{5}{6} \left(\frac{5}{6} (0) + \frac{1}{6} (1)\right) + \frac{1}{6} (-1) = -\frac{1}{36} \
\end{align*}
\end{document}

\textstyle(the size of inline math) and\displaystyle(the size of display math). You can force the style to be part of yourmathenvironment. However, using\[...\]instead of\begin{center} \begin{math}...\end{math} \end{center}does the same (and better in terms of spacing). – Werner Feb 10 '16 at 16:43\begin{equation*}<equation>\end{equation*}, not\begin{center}\begin{math}<equation>\end{math}\end{center}– egreg Feb 10 '16 at 16:44