From: Peter Schaefer Date: Wed, 9 Oct 2013 09:47:41 +0000 (+0200) Subject: erste Vorlesungs Dateien hinzugefügt X-Git-Url: https://git.leopard-lacewing.eu/?a=commitdiff_plain;h=1a62d19642b4e98990c44a2ef678fa5b072d2b0e;p=anaalg.git erste Vorlesungs Dateien hinzugefügt --- 1a62d19642b4e98990c44a2ef678fa5b072d2b0e diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..bb491f7 --- /dev/null +++ b/.gitignore @@ -0,0 +1,18 @@ + +*.*~[0-9] +*.*~ +*.backup + +*converted-to.pdf + +*.log +*.aux +*.out +*.tex.backup +*.toc +*.bbl +*.bak +*.blg +*.ps +*.dvi +*.idx diff --git a/UE/template.sty b/UE/template.sty new file mode 100644 index 0000000..8014da5 --- /dev/null +++ b/UE/template.sty @@ -0,0 +1,235 @@ +%% Dieses Package ist eine Zusammenfassung von Packages und Konfigurationen +%% +%% TITLE = template +%% +%% +%% P. Schaefer + +\usepackage[ngerman]{babel} %Sprachpacket für Überschriften +\usepackage[utf8x]{inputenc} %Eingabekodierung +\usepackage{fixltx2e} %Deutschsprach Bugs + +\usepackage{fullpage} + +\usepackage{amsmath,amssymb,amsthm} + +\usepackage{color} +\usepackage{graphicx} + +\usepackage{ucs} +\usepackage{txfonts} +%\usepackage[T1]{fontenc} +%\usepackage{lmodern} +\usepackage{array,soul,pst-all,makeidx} +% \usepackage{emaxima} + +%\usepackage{python} % See Bottom Code was directly imported + +\usepackage{fancyhdr} + +\pagestyle{fancy} +\fancyhf{} +\lhead{\bf \large Aufgabe \thesubsection} +\chead{\thesection. Übung ZtuA} +\rhead{\datum} +\cfoot{\thepage} +\setlength{\headheight}{4\baselineskip} + + +\def \N {\mathbb{N}} +\def \Z {\mathbb{Z}} +\def \Q {\mathbb{Q}} +\def \R {\mathbb{R}} +\def \C {\mathbb{C}} +\def \P {\mathbb{P}} + +\def\oder{\vee} +\def\und{\wedge} + +\DeclareMathOperator{\ord}{ord} + +\let\mod\relax +\DeclareMathOperator{\mod}{mod} + +\let\gcd\relax +\DeclareMathOperator{\ggt}{ggT} +\DeclareMathOperator{\ggT}{ggT} +\DeclareMathOperator{\gcd}{ggT} + +\DeclareMathOperator{\kgv}{kgV} +\DeclareMathOperator{\lcm}{kgV} + +\DeclareMathOperator{\sgn}{sgn} + + +\newcommand{\ud}{\,\mathrm{d}} +\newcommand{\tr}{\textrm{Tr}\,} +\newcommand{\ind}[1]{\mathds{1}_{#1}} +\renewcommand{\Re}{\textrm{Re}\,} +\renewcommand{\Im}{\textrm{Im}\,} +\renewcommand{\arg}{\textrm{arg}} + + + +\newcommand{\legend}[3][]{\left( \frac{#2}{#3}\right)_{#1}} + +\def\datum{\date} + + +%\addtolength{\textwidth}{3cm} +%\addtolength{\textheight}{3.5cm} +%\setlength{\oddsidemargin}{0 cm} +%\setlength{\evensidemargin}{0 cm} +% \setlength{\topmargin}{-1.5cm} +% \setlength{\parindent}{0pt} +% \setlength{\parskip}{5pt plus 2pt minus 1pt} + +%\renewcommand{\proofname}{Beweis} +%\renewcommand{\contentsname}{Inhaltsverzeichnis} +%\renewcommand{\bibname}{Literaturverzeichnis} + + + +% \swapnumbers +%\newcounter[section]{defn} +\newtheorem{defn}{Definition}[section] +% \newtheorem{lemma}[defn]{Lemma} +% \newtheorem{satz}[defn]{Satz} +% \newtheorem{hsatz}[defn]{Hilfssatz} +% \newtheorem{kor}[defn]{Korollar} +% \newtheorem{prop}[defn]{Proposition} +% \newtheorem{folg}[defn]{Folgerung} +\theoremstyle{remark} +\newtheorem{bsp}[defn]{Beispiel} +\newtheorem{bem}[defn]{Bemerkung} +\newtheorem{bew}[defn]{Beweis} + + +\newcommand{\uebung}[2]{ +\setcounter{section}{#1} +\renewcommand{\datum}{#2} +\addcontentsline{toc}{section}{#1. am #2} +} + +\newcommand{\aufgabe}[2]{ +\clearpage +\begin{center} + \large \bf Aufgabe #1 +\end{center} +\setcounter{subsection}{#1} +\addcontentsline{toc}{subsection}{Aufgabe #1} +{\noindent\it + #2 +} +\medskip +\newline +\noindent +} + +%% Imported from python.def + +%% This program is free software; you can redistribute it and/or +%% modify it under the terms of the GNU General Public License +%% as published by the Free Software Foundation; either version 2 +%% of the License, or (at your option) any later version. +%% +%% This program is distributed in the hope that it will be useful, +%% but WITHOUT ANY WARRANTY; without even the implied warranty of +%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +%% GNU General Public License for more details. +%% +%% You should have received a copy of the GNU General Public License +%% along with this program; if not, write to the Free Software +%% Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. +%% +%% Author: Martin R. Ehmsen, ehmsen@imada.sdu.dk. +%% Department of Mathematics and Computer Science, +%% University of Southern Denmark, DK +%% +%% You can find an online copy of the GPL at +%% http://www.gnu.org/copyleft/gpl.html . +%% +%% Note: shell-escape needs to be activated for this to work. +%% This can either be done by passing -shell-escape as an option to +%% latex or by adding/changing "shell_escape = t" in your texmf.cnf . + +% 0.2 -> 0.21: Moved \newwrite\@module from \@writemodule and out, since +% no more than 15 \newwrites are allowed (and the previous version created a new +% every time \@writemodule was called. + +\NeedsTeXFormat{LaTeX2e}[1994/12/01] +%\ProvidesPackage{python}[2007/06/07 v0.21 Python in LaTeX] + +\newwrite\@out +\newwrite\@module + +\begingroup \catcode `|=0 \catcode `[=1 +\catcode`]=2 \catcode `\{=12 \catcode `\}=12 +\catcode`\\=12 |gdef|@xpython#1\end{python}[|immediate|write|@out[#1]|end[python]] +|endgroup + +\def\python{\kernel@ifnextchar [{\@python}{\@python[]}} + + +\newcounter{py@codenum} +\def\@python[#1]{% +\stepcounter{py@codenum} +\gdef\@pythoninclude{#1} +\immediate\openout\@out=\jobname.py +\newlinechar='15 +\begingroup \catcode`\^^M=12 % +\let\do\@makeother\dospecials\obeyspaces% +\@xpython} + +\def\endpython{% +\endgroup +\immediate\closeout\@out +\@writemodule +\immediate\write18{python\space\jobname.py > \jobname.py.\thepy@codenum.out 2> \jobname.py.\thepy@codenum.err} +\immediate\input\jobname.py.\thepy@codenum.out} + + + +% \def\@python[#1]{% +% \gdef\@pythoninclude{#1} +% \immediate\openout\@out=\jobname.py +% \newlinechar='15 +% \begingroup \catcode`\^^M=12 % +% \let\do\@makeother\dospecials\obeyspaces% +% \@xpython} +% +% \def\endpython{% +% \endgroup +% \immediate\closeout\@out +% \@writemodule +% \immediate\write18{cat \@pythoninclude\space\jobname.py | python > \jobname.py.out 2> \jobname.py.err} +% \immediate\input\jobname.py.out} +% %\immediate\write{\begin{verbatim}} +% %\immediate\input\jobname.py.err +% %\immediate\write{\end{verbatim}}} + +\def\@writemodule{% +\immediate\openout\@module=latex.py +\immediate\write\@module{jobname="\jobname"} +\immediate\closeout\@module} + +% BUGS: +% 1. If anything gets send to stderr then it should be included +% in \begin{verbatim}...\end{verbatim} to be properly displayed +% +% \immediate\write18{cat \@pythoninclude\space\jobname.py | python > \jobname.py.out 2>\jobname.py.err} +% +% 2. Watch out for indentation done by aucTeX in Emacs +% +% 3. Let the package accept a "final version" option, such +% that the output of each python run is saved such that it can be +% inserted into the document by hand +% (conference, journals are not likely to compile with +% shell_escape or have python). +% +% \gdef\@prepython{} +% \def\prepython#1{% +% \gdef\@prepython{#1} +% } +% sed -e 's/^ //g' cluster.py +% \immediate\write18{\@prepython\space\jobname.py > \ \ No newline at end of file diff --git a/Vorlesung.pdf b/Vorlesung.pdf new file mode 100644 index 0000000..ccd29b0 Binary files /dev/null and b/Vorlesung.pdf differ diff --git a/Vorlesung.tex b/Vorlesung.tex new file mode 100644 index 0000000..f9ef217 --- /dev/null +++ b/Vorlesung.tex @@ -0,0 +1,50 @@ +\documentclass[a4paper,10pt,fleqn]{scrreprt} + +\usepackage{UE/template} + +\renewcommand{\thechapter}{\Roman{chapter}} + + +\author{} +\title{Mitschrift zur Vorlesung \\ Analyse von Algorithmen,\\ gehalten von Prof. Dromota, Wintersemester 2013} + +\pagestyle{plain} +\makeindex + +\begin{document} + +\begin{titlepage} + \maketitle +\end{titlepage} + +\setcounter{secnumdepth}{-1} + +\section{Kurzzusammenfassung} +Das ist die "ge {\TeX} te" Mitschrift zur Vorlesung $118 \dot 186$ \emph{AKDIS Zahlentheorie und Anwendungen} vom Sommersemester 2012, gehalten von Prof. J. Wiesenbauer.\bigskip + +\noindent +Für weitere Informationen siehe HomePage \emph{www.algebra.ac.at} +\newpage + +\begin{bew} + +\end{bew} + +% \begin{align*} +% \geq&\sum_{i=1)^k a_i c_5 (x b_i)^\alpha(1+\int_1^{xb_i} \frac{g(u)}{u^{\alpha+1}du) + g(x)\\ +% =&c_5 x^\alpha \sum_{i=1)^k a_ib_i^\alpha + c5 x^\alpha \sum_{i=1)^k a_ib_i^\alpha \int_1^x \frac{g(u)}{u^{\alpha+1} du - c_5 \ldots\\ +% =&c_5 (x)^\alpha(1+\int_1^x \frac{g(u)}{u^{\alpha+1}du) - c_4c__5g(x)\sum_{i=1)^ka_ib_i^\alpha\\ +% \geq& c_5x^\alpha (1+\int_1^x \frac{g(u)}{u^{\alpha+1}du) +% \end{align*} +Gilt genau dann wenn +% \begin{align} +% & (-c_4c_5+1)g(x) \geq 0\\ +% & 0 < c_5 \leq \frac{1}{c_4} +% \end{align} +Wähle $c_5$ geeignet, dass IA gewährleistet ist. + + + + + +\end{document}