\newcommand{\iint}{\int\limits}
\newcommand{\beq}{\begin{equation}}
\newcommand{\eeq}{\end{equation}}
\newcommand{\bea}{\begin{eqnarray}}
\newcommand{\eea}{\end{eqnarray}}
\newcommand{\nn}{\nonumber\\} 
\newcommand{\tr}{\mathop{\rm tr}\nolimits}
\newcommand{\spur}{\mathop{\rm sp}\nolimits}
\newcommand{\dt}{\mathop{\rm det}\nolimits}
%\newcommand{\order}{\mathop{\rm O}\nolimits}
\newcommand{\order}{\mathop{\mathcal O}\nolimits}
\newcommand{\sign}{\mathop{\rm sign}\nolimits}
\newcommand{\const}{\mathop{\rm const}\nolimits}
\newcommand{\parfrac}[2]{\frac{\partial #1}{\partial #2}}
\newcommand{\hoch}[1]{^{(#1)}}
\newcommand{\rmhoch}[1]{^{({\rm #1})}}
\newcommand{\perorb}{_{\cal P}}
\renewcommand{\Im}{\mathop{\rm Im}\nolimits}
\renewcommand{\Re}{\mathop{\rm Re}\nolimits}
\makeatletter
\def\gtrsim{\mathrel{\mathpalette\vereq>}}
\def\lesssim{\mathrel{\mathpalette\vereq<}}
\def\vereq#1#2{\lower3pt\vbox{\baselineskip1.5pt \lineskip1.5pt
\ialign{$\m@th#1\hfill##\hfil$\crcr#2\crcr\sim\crcr}}}

\makeatother
%\newcommand{\Bbb}{}
\newcommand{\tumlauf}{{\mathcal T}}
%\newcommand{\stokesfac}{{\frak S}}
\newcommand{\stokesfac}{{\mathcal S}}
\newcommand{\gebiet}{{\frak U}}
\newcommand{\beitrag}{{\mathcal I}}
%\newcommand{\fabb}{{\mathcal F}}
