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Neueste Definitionen

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Martin Thoma 2014-02-04 21:55:55 +01:00
parent eb84361c40
commit 759ecffde5
3 changed files with 4 additions and 113 deletions
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documents/GeoTopo/definitions/definitionen.pdf
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documents/GeoTopo/definitions/mathe-vorlage.tex
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@ -1,4 +1,4 @@
\documentclass[a7paper,9pt,landscape]{scrartcl}
\documentclass[a7paper,9pt,landscape]{scrbook}
\usepackage{etoolbox}
\usepackage{amsmath,amssymb}% math symbols / fonts
\usepackage{mathtools} % \xRightarrow
@ -36,7 +36,7 @@
\usepackage{xspace} % for new commands; decides weather I want to insert a space after the command
\usepackage[german,nameinlink]{cleveref} % has to be after hyperref, ntheorem, amsthm
\usepackage[left=10mm,right=10mm, top=2mm, bottom=10mm]{geometry}
\usepackage{shortcuts}
\usepackage{../shortcuts}
\clubpenalty = 10000 % Schusterjungen verhindern
\widowpenalty = 10000 % Hurenkinder verhindern
@ -45,7 +45,8 @@
pdfauthor = {Martin Thoma},
pdfkeywords = {Geometrie und Topologie},
pdftitle = {Geometrie und Topologie - Definitionen}
}
}
\allowdisplaybreaks
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Begin document %

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documents/GeoTopo/definitions/shortcuts.sty
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% make the index link to the correct part of the page %
% http://tex.stackexchange.com/q/74493/5645 %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcounter{indexanchor}
\newcommand*{\xindex}[1]{%
\stepcounter{indexanchor}% make anchor unique
\def\theindexterm{#1}%
\edef\doindexentry{\noexpand\index
{\expandonce\theindexterm|indexanchor{index-\theindexanchor}}}%
\raisebox{\baselineskip}{\hypertarget{index-\theindexanchor}%
{\doindexentry}}%
}
\newcommand*{\indexanchor}[2]{\hyperlink{#1}{#2}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Aufgaben-Environment %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcounter{aufgabe}
\newenvironment{aufgabe}[1][]{\refstepcounter{aufgabe}%
\ifthenelse{\isempty{#1}}%
{\subsection*{Aufgabe~\theaufgabe}}% if #1 is empty
{\subsection*{Aufgabe~\theaufgabe~(#1)}}% if #1 is not empty
\begin{adjustwidth}{1cm}{}}%
{\end{adjustwidth}}
\newenvironment{solution}[1][]{%
\subsection*{Lösung zu Aufgabe~#1}%
\begin{adjustwidth}{1cm}{}}%
{\end{adjustwidth}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Define theorems %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\thmfoot}{}
\theoremstyle{break}
\setlength\theoremindent{0.7cm}
\theoremheaderfont{\kern-0.7cm\normalfont\bfseries}
\theorembodyfont{\normalfont} % nicht mehr kursiv
\theoremseparator{\thmfoot}
\newframedtheorem{satz}{Satz}[section]
\newframedtheorem{lemma}[satz]{Lemma}
\newframedtheorem{proposition}[satz]{Proposition}
\newtheorem{korollar}[satz]{Korollar}
\newtheorem{folgerung}[satz]{Folgerung}
\newtheorem{definition}{Definition}
\newtheorem{beispiel}{Beispiel}
\newtheorem{bemerkung}{Bemerkung}
\theoremstyle{nonumberplain}
\newtheorem{beweis}{Beweis:}
\newtheorem{behauptung}{Beh.:}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\fB{\mathfrak{B}}%Für Basis
\def\fT{\mathfrak{T}}%Für Topologie
\renewcommand{\qed}{\hfill\blacksquare}
\newcommand{\qedwhite}{\hfill \ensuremath{\Box}}
\newcommand{\powerset}[1]{\mathcal{P}(#1)}
\def\praum{\ensuremath{\mathcal{P}}}
\def\mdp{\ensuremath{\mathbb{P}}}
\def\mdc{\ensuremath{\mathbb{C}}}
\def\mdr{\ensuremath{\mathbb{R}}}
\def\mdq{\ensuremath{\mathbb{Q}}}
\def\mdz{\ensuremath{\mathbb{Z}}}
\def\mdn{\ensuremath{\mathbb{N}}}
\def\mdh{\ensuremath{\mathbb{H}}}
\def\gdw{\ensuremath{\Leftrightarrow}}
\def\atlas{\ensuremath{\mathcal{A}}}
\DeclareMathOperator{\rang}{rg}
\def\GL{\ensuremath{\mathrm{GL}}}
\def\SL{\ensuremath{\mathrm{SL}}}
\def\PSL{\ensuremath{\mathrm{PSL}}}
\newcommand\mapsfrom{\mathrel{\reflectbox{\ensuremath{\mapsto}}}}
\newcommand\dcup{\mathbin{\dot{\cup}}}
\newcommand{\id}{\textnormal{id}}
\DeclareMathOperator{\Deck}{Deck}
\DeclareMathOperator{\Fix}{Fix}
\DeclareMathOperator{\Iso}{Iso}
\DeclareMathOperator{\grad}{grad}
\DeclareMathOperator{\Perm}{Perm}
\DeclareMathOperator{\Sym}{Sym}
\DeclareMathOperator{\Homoo}{\textnormal{Homöo}}
\DeclareMathOperator{\Diffeo}{Diffeo}
\DeclareMathOperator{\conv}{conv}
\DeclareMathOperator{\IWS}{IWS}
\newcommand{\iu}{{i\mkern1mu}} % imaginary unit
%\DeclareMathOperator{\Re}{Re}
%\DeclareMathOperator{\Im}{Im}
%%%Text %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand\obda{o.~B.~d.~A.\xspace}
\newcommand\Obda{O.~B.~d.~A.\xspace}
\newcommand{\ts}[1]{\textnormal{#1}} % textual subscript
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% http://tex.stackexchange.com/a/101138/5645
\newcommand\rtilde[1]{\widetilde{\mathit{#1}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\crefname{satz}{Satz}{Sätze}
\crefname{proposition}{Proposition}{Propositionen}
\crefname{lemma}{Lemma}{Lemmata}
\crefname{korollar}{Korollar}{Korollare}
\crefname{folgerung}{Folgerung}{Folgerungen}
\crefname{definition}{Definition}{Definitionen}
\crefname{behauptung}{Behauptung}{Behauptungen}
\crefname{beispiel}{Beispiel}{Beispiele}
\crefname{aufgabe}{Aufgabe}{Aufgaben}
\crefname{bemerkung}{Bemerkung}{Bemerkungen}
%\let\OldAngle\angle
%\let\angle\sphericalangle