befehle.tex

% Makros
\numberwithin{equation}{chapter}

\newcommand{\N}{\mathds{N}} % natuerliche Zahlen
\newcommand{\Z}{\mathds{Z}} % ganze Zahlen
\newcommand{\Q}{\mathds{Q}} % rationale Zahlen
\newcommand{\R}{\mathds{R}} % reelle Zahlen
\newcommand{\K}{\mathds{K}} % Körper
\newcommand{\C}{\mathds{C}} % komplexe Zahlen
\newcommand{\co}{\mathrm{co}} % compact open
\newcommand{\cc}{\mathrm{c}} % compact open
\newcommand{\e}{\mathrm{e}} % compact open
\newcommand{\W}{\mathcal{W}} % Weyl-Gruppe
\newcommand{\1}{\mathbbm{1}} % Körper
\newcommand{\CC}{\mathrm{C}} 
\newcommand{\Ell}{\mathrm{L}} 
\newcommand{\We}{\mathrm{W}} 
\newcommand{\E}{\mathcal{E}}
\newcommand{\Sc}{\mathcal{S}}
\newcommand{\F}{\mathcal{F}}
\newcommand{\A}{\mathcal{A}}
\newcommand{\Li}{\mathcal{L}}
\newcommand{\Pot}{\mathcal{P}}
\newcommand{\Hi}{\mathcal{H}}
\newcommand{\Ki}{\mathcal{H}}
\newcommand{\B}{\mathcal{B}}
\newcommand{\Bog}{\mathcal{B}}
\newcommand{\BB}{\mathrm{B}}
\newcommand{\WW}{\mathrm{W}}
\newcommand{\HH}{\mathrm{H}}
\newcommand{\GG}{\mathrm{G}}
\newcommand{\Sec}{\mathrm{S}}
\newcommand{\DD}{\mathrm{D}}
\newcommand{\ii}{\mathrm{i}}
\newcommand{\Ct}{\mathcal{C}}
\newcommand{\T}{\mathbb{T}}
\newcommand{\St}{\mathfrak{S}}

\def\esssup{\qopname\relax m{\mathrm{ess}\,sup}}


% Umgebungen für Definitionen, Sätze, usw.

%\newtheorem{defn}{Definition}[section]
%\newtheorem{ex}{Beispiel}[chapter]

\theoremstyle{plain}
\newtheorem{thm}{Satz}[chapter]
\newtheorem{lem}[thm]{Lemma}
\newtheorem{kor}[thm]{Korollar}
\newtheorem{prop}[thm]{Proposition}
\newtheorem{hsatz}[thm]{Hauptsatz}

\newtheorem*{lem*}{Lemma}

\theoremstyle{definition}
\newtheorem{defn}[thm]{Definition}
\newtheorem{ex}[thm]{Beispiel}
\newtheorem{rem}[thm]{Bemerkung}
\newtheorem{obs}[thm]{Beobachtung}
\newtheorem{ntion}[thm]{Notation}

%\theoremstyle{remark}

\def\Satzrefname{Satz}

\DeclareMathOperator{\supp}{supp}
\DeclareMathOperator{\PP}{\mathds{P}}
\DeclareMathOperator{\loc}{loc}
\DeclareMathOperator{\pv}{pv}
\DeclareMathOperator{\konv}{konv}
\DeclareMathOperator{\dist}{dist}
\DeclareMathOperator{\diag}{diag}
\DeclareMathOperator{\Rg}{Rg}
\DeclareMathOperator{\grad}{grad}
\DeclareMathOperator{\Spur}{Spur}
\DeclareMathOperator{\BUC}{BUC}
%\DeclareMathOperator{\DD}{D}
\DeclareMathOperator{\id}{id}
\DeclareMathOperator{\im}{im}
\DeclareMathOperator{\abs}{abs}
\DeclareMathOperator{\Op}{Op}
\DeclareMathOperator{\Aff}{Aff}
\DeclareMathOperator{\codim}{codim}
\DeclareMathOperator{\cstar}{C*}
\DeclareMathOperator{\stoplim}{stop-lim}
\DeclareMathOperator{\swoplim}{swop-lim}

\let\divsymb=\div % rename builtin command \div to \divsymb
\renewcommand{\div}[1]{\mathrm{div\,} #1} % for divergence
\renewcommand{\d}[1]{\ensuremath\, {\operatorname{d}\!{#1}}}

%INTEGRALe
\def\Xint#1{\mathchoice
{\XXint\displaystyle\textstyle{#1}}%
{\XXint\textstyle\scriptstyle{#1}}%
{\XXint\scriptstyle\scriptscriptstyle{#1}}%
{\XXint\scriptscriptstyle\scriptscriptstyle{#1}}%
\!\int}
\def\XXint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$ }
\vcenter{\hbox{$#2#3$ }}\kern-.6\wd0}}
\def\ddashint{\Xint=}
\def\dashint{\Xint-}

\counterwithout{equation}{chapter}