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+\newcommand{\R}{\mathbb{R}} % reelle
+\newcommand{\Z}{\mathbb{Z}} % ganze
+\newcommand{\N}{\mathbb{N}} % natuerliche
+
+\newcommand{\G}{\mathcal{G}} % Grobes Gitter
+\newcommand{\F}{\mathcal{F}} % Feines Gitter
+\newcommand{\U}{\mathcal{U}} % Übergangsbereich
+
+\newcommand{\rfneq}[2]{\boldsymbol{r(}f_{f,\star}^\text{neq}, #1, #2\boldsymbol{)}}
+
+\newcommand\numberthis{\addtocounter{equation}{1}\tag{\theequation}}
+
+\newcommand{\V}[2]{\ensuremath{\begin{pmatrix}#1\\#2\end{pmatrix}}}
+\newenvironment{rcases}{\left.\begin{aligned}}{\end{aligned}\right\rbrace} \ No newline at end of file