From 2384c7f2f97f3430dc28aca3dfc21f4cebb84dec Mon Sep 17 00:00:00 2001 From: kreativmonkey Date: Sat, 3 Jun 2017 00:06:15 +0200 Subject: [PATCH] Restructure --- .template-files/latex4ei/LICENSE | 29 - .template-files/latex4ei/README.md | 29 - .template-files/latex4ei/changelog.md | 29 - .../doc/LaTeX4EI-Template-Documentation.pdf | Bin 260640 -> 0 bytes .../doc/LaTeX4EI-Template-Documentation.tex | 321 - .../doc/Scientific-Package-Documentation.pdf | Bin 192179 -> 0 bytes .../doc/Scientific-Package-Documentation.tex | 203 - .template-files/latex4ei/doc/img/Logo.pdf | 1048 --- .template-files/latex4ei/known_bugs.txt | 20 - .../schematics/latex4ei_schematics.svg | 6708 ----------------- .../template-files/cheatsheet_example.pdf | Bin 225142 -> 0 bytes .../template-files/cheatsheet_example.tex | 173 - .../template-files/cheatsheet_template.tex | 65 - .../template-files/report_example.tex | 84 - Formelsammlung.pdf | Bin 199632 -> 199205 bytes Formelsammlung.tex | 8 +- latex4ei/latex4ei.sty | 331 + latex4ei/latex4ei_boxes.sty | 186 + latex4ei/latex4ei_colors.sty | 85 + latex4ei/latex4ei_report.cls | 297 + latex4ei/latex4ei_sheet.cls | 242 + latex4ei/latex4ei_unicode.sty | 278 + latex4ei/scientific.sty | 247 + themen/Mengenlehre/main.tex | 6 - 24 files changed, 1669 insertions(+), 8720 deletions(-) delete mode 100644 .template-files/latex4ei/LICENSE delete mode 100644 .template-files/latex4ei/README.md delete mode 100644 .template-files/latex4ei/changelog.md delete mode 100644 .template-files/latex4ei/doc/LaTeX4EI-Template-Documentation.pdf delete mode 100644 .template-files/latex4ei/doc/LaTeX4EI-Template-Documentation.tex delete mode 100644 .template-files/latex4ei/doc/Scientific-Package-Documentation.pdf delete mode 100644 .template-files/latex4ei/doc/Scientific-Package-Documentation.tex delete mode 100644 .template-files/latex4ei/doc/img/Logo.pdf delete mode 100644 .template-files/latex4ei/known_bugs.txt delete mode 100644 .template-files/latex4ei/schematics/latex4ei_schematics.svg delete mode 100644 .template-files/latex4ei/template-files/cheatsheet_example.pdf delete mode 100644 .template-files/latex4ei/template-files/cheatsheet_example.tex delete mode 100644 .template-files/latex4ei/template-files/cheatsheet_template.tex delete mode 100644 .template-files/latex4ei/template-files/report_example.tex create mode 100644 latex4ei/latex4ei.sty create mode 100644 latex4ei/latex4ei_boxes.sty create mode 100644 latex4ei/latex4ei_colors.sty create mode 100644 latex4ei/latex4ei_report.cls create mode 100644 latex4ei/latex4ei_sheet.cls create mode 100644 latex4ei/latex4ei_unicode.sty create mode 100644 latex4ei/scientific.sty delete mode 100644 themen/Mengenlehre/main.tex diff --git a/.template-files/latex4ei/LICENSE b/.template-files/latex4ei/LICENSE deleted file mode 100644 index d024ac1..0000000 --- a/.template-files/latex4ei/LICENSE +++ /dev/null @@ -1,29 +0,0 @@ -LaTeX4EI Template Date: 2016-01-06 - - - -LICENSE: - -You are allowed to create and share documents created -with this template under the following conditions: - - -* visible reference to www.latex4ei.de: - you have to place a "based on template from www.latex4ei.de" or similar in your documents. - - -* no commercial use: - you are not allowed to sell any part of this template or documents created with this template. - - -* limited modification: - you are allowed to modify the template for personal use. - you are NOT allowed to distribute modified versions of this template on your own. - Please push back your modifications to us so that we have the chance to integrate it. - - -If you want to publish your latex code you are allowed to publish the source code -of this template as well but you have to make sure that a copy of this license is included. - - -© 2011-2016, LaTeX4EI diff --git a/.template-files/latex4ei/README.md b/.template-files/latex4ei/README.md deleted file mode 100644 index 4c13b05..0000000 --- a/.template-files/latex4ei/README.md +++ /dev/null @@ -1,29 +0,0 @@ -# LaTeX4EI Template -Write beautiful latex cheat sheets with minimal effort. - -## How to use -put `latex4ei` folder in `./template-files/` into the same folder as -your latex file. Specify \documentclass{latex4ei/latex4ei_sheet} and compile your code. -See the documentation for further details. - -## Permanent installation -Copy the `latex4ei` folder into your tex-distribution directory - -### Windows -Copy files to `C:\texlive\XXXX\texmf-dist\tex\latex\latex4ei` - -### Linux -```bash -sudo ln -s ./pkg /usr/share/texlive/texmf-dist/tex/latex/latex4ei -sudo mktexlsr -``` - -### Mac OS X -```bash -ln -s ./pkg /usr/local/texlive/texmf-local/tex/latex/latex4ei -``` - -If you want to share your documents please refer to the license.txt -Read the changelog.txt and known_bugs.txt and check [www.latex4ei.de](http://latex4ei.de) for updates. - -© 2011-2016, LaTeX4EI diff --git a/.template-files/latex4ei/changelog.md b/.template-files/latex4ei/changelog.md deleted file mode 100644 index fb823ab..0000000 --- a/.template-files/latex4ei/changelog.md +++ /dev/null @@ -1,29 +0,0 @@ -# LaTeX4EI Template -Date: 2016-01-06 - -## Changelog - -#### Release 1.0 - -* new box macros - the boxes are now implemented as environments, which allows better error tracking. - box names stayed the same, so now it is \begin{sectionbox} ... \end{sectionbox} instead of \sectionbox{ ... } - Note: the table environment is now much simpler. See documentation for details. - -* better unicode support - you can now directly write math symbols such as ∫, ∈, ∞, etc. and greek symbols such as α, β, γ as unicode - characters in your tex source code. Make sure the .tex file is encoded as UTF-8 in your editor. - -* language support for english and german - The language of the document can now be choosen with the template options "english" or "german". - It is also possible to define a different language for a part of a document. Use \selectlanguage{english} - to switch to english and \selectlanguage{ngerman} (the "n" in "ngerman" is important) to switch to german. - -* image search-paths /img and /gfx - you can now specify image paths inside \includegraphics relative to /img or /gfx because the compiler will - automatically search for image files in these directories. 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gnp6J12K^{FU&=LK-lBseb#=8hg%uUiR;I%L0WO~0u>b%7 diff --git a/.template-files/latex4ei/doc/LaTeX4EI-Template-Documentation.tex b/.template-files/latex4ei/doc/LaTeX4EI-Template-Documentation.tex deleted file mode 100644 index 3cbef17..0000000 --- a/.template-files/latex4ei/doc/LaTeX4EI-Template-Documentation.tex +++ /dev/null @@ -1,321 +0,0 @@ -% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % -% LaTeX4EI Template for Cheat Sheets -% -% @encode: UTF-8, tabwidth = 4, newline = LF -% @author: LaTeX4EI - Template created by Emanuel Regnath and Martin Zellner -% @contact: info@latex4ei.de -% -% @license: -% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % - - -% Known bugs of this template: -% * sole section headings at the end of a column are not shifted to the next column -% automatically, please insert a \columnbreak before \section in this case. - - - -% Document Class =============================================================== - -% possible options: color/nocolor, english/german, legacyboxes, threecolumn -% default: color, english -\documentclass[english]{latex4ei/latex4ei_sheet} - -% set document information -\title{LaTeX4EI Template \\ Documentation} -\author{LaTeX4EI} % optional, delete if unchanged -\myemail{info@latex4ei.de} % optional, delete if unchanged - -\RequirePackage{latex4ei/latex4ei_unicode} - - -%---------------------------------------% -% LaTeX4EI template % -%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~% - -% DOCUMENT_BEGIN =============================================================== -\begin{document} - -% Title (needs ./img/Logo.pdf) -\maketitle - - -% SECTION ==================================================================================== -\section{Introduction} -% ============================================================================================ - -\begin{sectionbox} - \subsection{Terms of use} - This template may be used only for cheat sheets that are published on the \emph{LaTeX4EI} web page. \\ - - A lot of effort has been put into this template and therefore all cheat sheets created with this template shall also be availible on the \emph{LaTeX4EI} project web page. \\ - - \textbf{\copyright LaTeX4EI, 2015} -\end{sectionbox} -\begin{sectionbox} - \subsection{Purpuse} - The purpuse of this document is to give an overview over all functions of the LaTeX4EI template with the goal to help the reader to create beautiful cheat sheets. -\end{sectionbox} - -\section{Box Environments} -\label{box_useage} -\begin{sectionbox} -For the structuring of the document, the LaTeX4EI template offers different boxes. -\end{sectionbox} - -\begin{sectionbox} - \subsection{Sectionbox} - - The main structure is defined through the \emph{sectionbox} environment. - - \begin{lstlisting}[language=tex, gobble=3] - \begin{sectionbox} - content of the sectionbox - \end{sectionbox} - \end{lstlisting} -\end{sectionbox} -\begin{sectionbox} - - \subsection{Tablebox} - - Tables can be set using the \emph{tablebox} or a \emph{tablebox*} environment. - The table entries are embedded within \code|\begin{tablebox*}{llll}| and - \code|\end{tablebox*}|. \\ - - Example for a table with \emph{tablebox}: - \begin{tablebox*}{llll} - vector & $\vec a = \vect{ 1 \\ 2}$ & matrix & $\ma M = \mat{1 & 2 \\ 3 & 4}$ \\ \cmrule - Example & of & the & tablebox \\ - \end{tablebox*} - - In contrast to that a normal \LaTeX table:\\ - \begin{tabular}{lll} \ctrule - A & small & table\\ - with & two & lines \\ \cbrule - \end{tabular} -\end{sectionbox} - - -\begin{sectionbox} - \subsection{Symbolbox} - A symbolbox can be used to define symbols for different values. \\ - - The equation is embedded within \code|\begin{symbolbox}| and - \code|\end{symbolbox}|. \\ - - Example of a \emph{symbolbox (to define symbols)} - \renewcommand{\arraystretch}{2.0} - \begin{symbolbox} - \begin{tabular}{lll} - Preasure & $\unitof{p}$ & $\si{\newton\per\meter\squared}$ \\ - Seebeck-Ko. & $\unitof{S}$ & $\si{\micro\volt\per\kelvin}$\\ - Wärmeleitf. & $\unitof{\lambda}$ & $\si{\watt\per\meter\kelvin}$ - \end{tabular} - \end{symbolbox} -\end{sectionbox} - - -\begin{sectionbox} - \subsection{Cookbox} - a so-called cookbox can be used to set beautiful step-by-step instructions. - - The items are embedded within \code|\begin{cookbox}| and - \code|\end{cookbox}|. \\ - - \begin{cookbox}{How to create a beautiful cheat sheet} - \item Read this manual - \item Create a beautiful cheat sheet - \end{cookbox} -\end{sectionbox} - - -\begin{sectionbox} - \subsection{Emphbox} - really important formulars can be set in a box with a red border. \\ - - The equations are embedded within \code|\begin{emphbox}| and - \code|\end{emphbox}|. \\ - - \begin{emphbox} - $x_{1/2}=\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }$ - \end{emphbox} -\end{sectionbox} - - -\section{Language and Text} -\begin{sectionbox} - - \subsection{Text} - The \LaTeX source code of this template is interpreted as unicode. Therefore special characters like the german umlauts (ä,ö,ü) can be used easily. \\ - - Also greek characters can be written as math commands (\code|$\alpha, \beta, \gamma$| $\ra \alpha, \beta, \gamma$) or as unicode ($α, β, γ$). \\ - - This is also vailid for the math characters: $\int, \partial, \R$ or $∫, ∂, ℝ$. - -\end{sectionbox} -\begin{sectionbox} - \subsection{Language} - The language can be choosen with the options \emph{english} or \emph{german}. \\ - - It is also possible to define a different language for a part of a document: - - \code|\EngGer{|You have chosen the language option \emph{english}\code|}{|Du hast \emph{ngerman} als Sprachoption gewählt\code|}| \\ - - However, you can also switch to english in a german cheat sheet using \code|\selectlanguage{english}|. This guarantees that words are hyphenated correctly. - - And back to german with \code|\selectlanguage{ngerman}| (use \emph{ngerman} not \emph{german}!) - -\end{sectionbox} - -\section{Images} - -\begin{sectionbox} - - Images can be included using the \code|\includegraphics| command.\\ - - Do not use figure environment. - - The width should be set as a fraction of \code|\columnwidth|. - \begin{lstlisting}[language=tex] - \begin{center} - \includegraphics[width = 0.5\columnwidth]{Logo} - \end{center} - \end{lstlisting} - - The \emph{includegraphics} command searches for images in \code|./| and \code|./img|. The file extension is added automatically. -\end{sectionbox} - - -\section{Conventions} - -\begin{sectionbox} - \subsection*{Why?} - - Different formatting is helpful for the understanding of: variables, constants, functions, fixed units, vectors, matrices, sets, complex values, random variables \ldots -\end{sectionbox} - -\begin{sectionbox} - \subsection{General conventions for cheat sheets} - \begin{itemize} - \item Always the name first and the the symbol afterwards! \\ Example: "The angular velocity $\omega$, "The angular velocity \code|\omega|" - \item Densities are always set in small letters - \item Brackets around fractions or bigger equations are set with \code|\left|( ... \code|\right|) - \end{itemize} -\end{sectionbox} - -\begin{sectionbox} -\subsection{Tables} - \begin{tablebox}{lll} - Line & B/W & Colored \\ - \cmrule - Line on top & \code|\trule| & \code|\ctrule| \\ - Linie in the middle & \code|\mrule| & \code|\cmrule| \\ - Line at bottom & \code|\brule| & \code|\cbrule| - \end{tablebox} - -%\subsubsection{In Planning} -% - Physikalische Größen bekommen eigenen Befehl z.B. "\code|\Stromdichte|" schreibt schräg/setzt Link -% - Eigene Formatierung für Namen z.B. \code|\name{Gauß}| -\end{sectionbox} - -\begin{sectionbox} - \subsection{Boxes} - Different topics are categorized within boxes. The following types of boxes are availible: - - \emph{sectionbox}: for a topic (grey) - - \emph{tablebox}: for colored tables - - \emph{symbolbox}: for units and symbols (orange) - - \emph{emphbox}: for very important equations (red box) - - \emph{topicbox}: for important overviews about the topic - - For further information on how to use the different boxes please refer to section \ref{box_useage}. -\end{sectionbox} - -\begin{sectionbox} - \subsection{Vectors and matrices} - \begin{tablebox}{ll} - vector symbol & \code|\vec r| \\ - vector & \code|\vect{ x \\ y \\ z}| \\ - transpose & \code|\vec r^\top| \\ - matrix symbol & \code|\ma M| \\ - matrix & \code|\mat{ a & b \\ c & d }| \\ - tensor & \code|\tensor C| - \end{tablebox} -\end{sectionbox} - -\begin{sectionbox} - \subsection{Indicies and superscript} - Depending on what the index refers to it should be set differently: - \begin{itemize} - \item $E_{\ir kin}$ (\code|E_{\ir kin}|) if an index refers to a word (e.g. "kinetic"). The command name \code|\ir| is an abbriviation for "index roman". - \item $E_x$ (\code|E_x|) if the index refers to a symbol (e.g. the $x$ compontent of the electromagnetic field). \\ - \end{itemize} - - The same difference also applies for the superscript (\code|^|). -\end{sectionbox} - -\begin{sectionbox} - \subsection{Functions} - The trigonometric functions are usually set upright. Therefore the commands \code|\exp|, \code|\sin|, \code|\cos|, \code|\sinh|, \code|\cosh| and \code|\sinc| should be used. \\ - %(\code|\si| anders besetzt, vl \code|\unit = \si|?) - - Similar we can set: - - Differential operators: \code|\grad|, \code|\div|, \code|\rot| and \code|\lpo| - - Maximum, minium and limes operators: \code|\min|, \code|\max|and \code|\lim| - - Stochastic operators: \code|\E|, \code|\Var| and \code|\Cov| \\ - - Transformations are usually set in italic letters: \code|\FT|, \code|\LT|, \code|\DFT|, \code|\ZT| and \code|\DTFT| -\end{sectionbox} - -\begin{sectionbox} - \subsection{Complex values} - - Complex variable: \code|\cx z | - - Complex conjugate: \code|\cxc z| - - Imaginary: \code|\i| or \code|\j| or \code|\k| (hypercomplex) - -\end{sectionbox} - -\section{Macros} -\begin{sectionbox} - \subsection{Own Macros for cheat sheets} - Arrows: $\ra, \Ra, \upa, \downa$ -\end{sectionbox} - -\begin{sectionbox} - \subsection{Own Macros in the \texttt{scientific} package} - \begin{tablebox}{ll} - Vectors and Matrices: & $\vec a = \vect{ 1 \\ 2}$ \quad $\ma M = \mat{1 & 2 \\ 3 & 4}$\\ - - Proper delta for differential equaions: & $\diff^3 x \diff y \diff z \frac{\diff f(x)}{\diff x}$ \\ \\ - - Functions: - SI Units: & $G =\SI{6,67e-11}{\kilogram\per\second\squared}$\\ - - Sets: & $\N \R \C$\\ - - Random variable: & $\X \Y \Z$\\ - - Stochastic: & $\P(\X = 3), \E(\X), \Var(\X)$\\ - \end{tablebox} - - Further information about the use of the \emph{scientific} package can be found in \emph{Scientific Package Documentation.pdf} -\end{sectionbox} - -% note: there is no \capter because baseclass is scrartcl. 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laden -\usepackage[a5paper]{geometry} -\usepackage[utf8]{inputenc} -\usepackage[ngerman]{babel} % Deutsche Sprache und Silbentrennung -\usepackage{multicol} % ermöglicht Seitenspalten -\usepackage{booktabs} % bessere Tabellenlinien -\usepackage{enumitem} % bessere Listen -\usepackage{graphicx} % Zum Bilder einfügen benötigt -\usepackage{pbox} %Intelligent parbox: \pbox{maximum width}{blabalbalb \\ blabal} -\usepackage{hyperref} -\usepackage{../template-files/latex4ei/scientific} % Eigenes Paket - -% Dokumentbeschreibung -% ====================================================================== -\title{\texttt{scientific.sty}} -\author{LaTeX4EI Package} - - -% Layout -% ====================================================================== -% 15cm Breite(148mm), Höhe (210), Referenzpunkt 2,54cm -\setlength{\oddsidemargin}{-1.0cm} %Rand zur Buchmitte von links -\setlength{\evensidemargin}{-1.6cm} %Rand zur Buchmitte von links -\setlength{\textwidth}{12.2cm} %Rand nach außen - - -%Überschreibungen -\renewcommand{\arraystretch}{1.2} - - -\renewcommand{\thesection}{} -\renewcommand{\thesubsection}{\arabic{subsection}} - - - -% Dokumentbeginn -\begin{document} - -% Titel -\maketitle - - -% ------------------------------------------- -% | scientific.sty | -% ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -% ============================================================================================================================= - - \begin{quotation} - Das Paket \texttt{scientific.sty} erweitert den Funktionsumfang der Mathematikumgebung in \LaTeX. - Es läd häufig benötigte Pakete und definiert Abkürzungen und wichtige Funktionen, um den Satz bestehender Befehle wie \verb#\sin, \max, ...# zu vervollständigen. - Ziel ist es mit dem Einbinden durch \verb#\usepackage{scientific}# eine solide und einfache Grundlage für wissenschaftliche Dokumentationen zu bieten ohne - dass der Autor eigene Macros schreiben muss. - Das Paket wurde von \href{www.latex4ei.de}{LaTeX4EI} erstellt. Es besteht keine Garantie auf Kompatibilität und korrekte Funktionsweise. - \end{quotation} - - - - \subsection{Pakete} - Das Paket \verb#scientific# läd automatisch wichtige \LaTeX-Pakete. Diese können nach einbinden der \verb#scientific.sty# direkt verwendet werden und müssen nicht explizit geladen werden.\\ - \begin{tabular}{ll} - \verb#amsmath# & Für erweiterte mahtematische Funktionen\\ - \verb#amssymb# & Verschiedene Symbole\\ - \verb#esint# & erweiterte Integralsymbole\\ - \verb#xcolor# & Ermöglicht farbigen Text und Farbdefinitionen\\ - \verb#mhchem# & Darstellung von chemischen Strukturformeln\\ - & Beispiel: $\ce{2H3O+}$ \verb#\ce{2H3O+}#\\ - \verb#siunitx# & SI gerechte Darstellung von Einheiten\\ - & Beispiel: $\SI{3.5}{\meter\per\second}$ \verb#\SI{3.5}{\meter\per\second}#\\ - \end{tabular} - - - Für eine genaue Beschreibung der einzelnen Pakete und deren zur Verfügung gestellten Funktionen, gibt es auf \href{www.ctan.org}{www.ctan.org} die entsprechende Dokumentation zu finden. - - - \subsection{Einheiten} - Das Paket \verb#siunitx# stellt Zahlen und Einheiten in SI gerechter Notation dar. - Die Hauptbefehle sind \verb#\num{}#, \verb#\si{}# und \verb#\SI{}{}#. - \verb#scientific# definiert noch \verb#\unitof{}# - Beispiele:\\ - - \begin{tabular}{ll} - $\num{32334.124e-12}$ & \verb#\num{32334.124e-12}#\\ - $\si{\kilogram \meter \per \ampere \second \squared }$ & \verb#\si{\kilogram \meter \per \ampere \second \squared}#\\ - $\SI{3.4e2}{\mega \watt \hour}$ & \verb#\SI{3.4e2}{\mega \watt \hour}#\\ - $\unitof{n_0} = \si{\per \centi \meter \cubed}$ & \verb#\unitof{n_0} = \si{\per \centi \meter \cubed}#\\ - \end{tabular}\\ - \\ - Als Einheiten können alle SI Einheiten wie \verb#\farad, \angstrom, \day#, \ldots\ sowie alle Prefixe \verb#\kilo, \deka, \micro#, usw. - verwendet werden. - - - - \subsection{Neue Befehle} - Warum neue Befehle? - Auch wenn viele Formatierungen recht einfach mit den \LaTeX\ Grundbefehlen erreicht werden können, ist es sinnvoll für jeden Verwendungszweck eines Symbols einen eigene Befehl anzulegen. Viele Zeichen werden mit mehreren Bedeutungen vernküpft. - Außerdem ist es dadurch einfach eine Formatierung für das ganze Dokument an einer zentralen Stelle festzulegen. Nachträgliche Anpassungen müssen nicht an jeder Stelle extra geändert werden, sondern es reicht eine Änderung des eigenen Befehls. - Sollten Sie im Paket \verb#scientific.sty# noch wichtige Funktionen/Formatierungen vermissen, dann lassen Sie es uns wissen. - - - \subsection{Differentielles Delta „$\mathrm{d}$“} - Das differentielle Delta ist eines der am häufigsten falsch dargestellten Zeichen. Es wird aufrecht geschrieben, mit kleinem Abstand zum vorherigen Term und keinem Abstand zur Variable. - Der einfache \LaTeX\ Code: \verb#\int x^2 dx# erzeugt $\int x^2 dx$. - Das ist vielleicht noch vertretbar aber spätestens bei mehreren Variablen sieht das nicht mehr schön aus. - \verb#\int f(x,y) dx dy# erzeugt $\int f(x,y) dx dy$. Mit dem neuen Befehl \verb#\diff# wird das „d“ immer richtig dargestellt.\\ - \\ - Differentielles Delta \quad $\diff x$ \quad \verb#\diff x#\\ - \\ - Beispiel: $\diff^3 x \diff y \diff z \frac{\diff f(x)}{\diff x}$ \qquad \verb#\diff^3 x \diff y \diff z \frac{\diff f(x)}{\diff x}#\\ - - \subsection{Vektoren und Matrizen} - Vektoren und Matrizen werden häufig in mathematischen Formeln genutzt. Deren Symbole sollten zum besseren Verständis durch spezielle Formatierungen von Symbolen für Variablen, Mengen, usw. abgegrenzt werden.\\ - \\ - \begin{tabular}{lll} - Vektorsymbol & $\vec a$ & \verb#\vec a#\\[0.5em] - Vektor & $\vect{ x_1 \\ x_2 }$ & \verb#\vect{ x_1 \\ x_2 }#\\[2em] - Matrixsymbol & $\ma A$ & \verb#\ma A#\\[0.5em] - Matrix & $\mat{ 1 & 2 \\ 3 & 4}$ & \verb#\mat{ 1 & 2 \\ 3 & 4}#\\[2em] - Norm & $\norm{\vec a}$ & \verb#\norm{\vec a}#\\ - Spur & $\Sp \ma A$ & \verb#\Sp \ma A#\\ - Determinante & $\det \ma A$ & \verb#\det \ma A#\\ - \end{tabular} - - - - - - \subsection{Komplexe Zahlen} - \begin{tabular}{lll} - Menge der kompl. Zahlen & $\C$ & \verb#\C#\\ - Komplexe Zahl & $\cx z$ & \verb#\cx z#\\ - Hyperkomplexe Zahl & $\hx h$ & \verb#\hx h#\\ - Imaginäre Einheiten & $\i \j \k$ & \verb#\i \j \k#\\ - Komplex Konjugiert & $\cxc z$ & \verb#\cxc z#\\ - Realteil & $\Re{a+b\i}$ & \verb#\Re{a+b\i}#\\ - Imaginärteil & $\Im{a+b\i}$ & \verb#\Im{a+b\i}#\\ - \end{tabular} - - - - \subsection{Mengen} - \begin{tabular}{lll} - Natürliche Zahlen & $\N$ & \verb#\N#\\ - Reele Zahlen & $\R$ & \verb#\R#\\ - Komplexe Zahlen & $\C$ & \verb#\C#\\ - allg. Körper & $\K$ & \verb#\K#\\ - Binäre Zahlen & $\B$ & \verb#\B#\\ \\ - Vereinigung/OR & $\cupplus A$ & \verb#\cuplus#\\ - Schnittmenge/AND & $\capdot B$ & \verb#\capdot#\\ - Komplement & $A^\complement$ & \verb#A^\complement#\\ - Das Innere & $\interior{A}$ & \verb#\interior{A}#\\ - Landau & $\O$ & \verb#\O#\\ - \end{tabular} - - - - - \subsection{Funktionen} - \begin{tabular}{lll} - Constant & $\const$ & \verb#\const#\\ - Sinus Cardinalis & $\sinc$ & \verb#\sinc#\\ - Triangular & $\tri$ & \verb#\tri#\\ - Rectangle & $\rect$ & \verb#\rect#\\ - Dirac & $\dirac$ & \verb#\dirac#\\ - Heaviside & $\heavi$ & \verb#\heavi#\\ - Gradient & $\grad$ & \verb#\grad#\\ - Divergenz & $\div$ & \verb#\div#\\ - Rotation & $\rot$ & \verb#\rot#\\ - Laplaceoperator & $\lpo$ & \verb#\lpo#\\ - Wellenoperator & $\waveop$ & \verb#\waveop#\\ - \end{tabular} - - - \subsection{Stochastik} - \begin{tabular}{lll} - Wahrscheinlichkeit & $\P$ & \verb#\P#\\ - Zufallsvariablen & $\X \Y \Z$ & \verb#\X \Y \Z#\\ - Erwartungswert & $\E$ & \verb#\E#\\ - Varianz & $\Var$ & \verb#\Var#\\ - Covarianz & $\Cov$ & \verb#\Cov#\\ - \end{tabular} - - - - \subsection{Spektralanalyse} - \begin{tabular}{lll} - Fourier-trans. & $\FT$ & \verb#\FT#\\ - Zeitdiskrete FT & $\DTFT$ & \verb#\DTFT#\\ - Laplace-trans. & $\LT$ & \verb#\LT#\\ - Z-trans & $\ZT$ & \verb#\ZT#\\ - Diskrete FT & $\DFT$ & \verb#\DFT#\\ - \end{tabular} - - - \subsection{Sonstiges} - Römische Zahlen \quad $\rom{iv},\rom{IV}$ \quad \verb#\rom{iv},\rom{IV}# - - -\end{document} diff --git a/.template-files/latex4ei/doc/img/Logo.pdf b/.template-files/latex4ei/doc/img/Logo.pdf deleted file mode 100644 index 1bf9349..0000000 --- a/.template-files/latex4ei/doc/img/Logo.pdf +++ /dev/null @@ -1,1048 +0,0 @@ -%PDF-1.5 % -1 0 obj <>/OCGs[6 0 R]>>/Pages 3 0 R/Type/Catalog>> endobj 2 0 obj <>stream - - - - - application/pdf - - - Logo - - - - - Adobe Illustrator CS5.1 - 2012-02-13T11:15:52+01:00 - 2012-02-13T11:15:52+01:00 - 2012-02-13T11:15:52+01:00 - - - - 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If a \section heading is placed before - that box it might remain on the previous column. The heading and the box - are split up and placed at different columns. - - Work around: Insert a manual column break with "\columnbreak" BEFORE the - \section command. - - -© 2011-2015, LaTeX4EI diff --git a/.template-files/latex4ei/schematics/latex4ei_schematics.svg b/.template-files/latex4ei/schematics/latex4ei_schematics.svg deleted file mode 100644 index 6b6b5f5..0000000 --- a/.template-files/latex4ei/schematics/latex4ei_schematics.svg +++ /dev/null @@ -1,6708 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - image/svg+xml - - - - - - - Resistors - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - & - - - - - - - - - - - ≤1 - - - - - - - - - - - - - - - =1 - - - - - - - - - - & - - - - - - - - - - - - - - ≤1 - - - - - - - - - - - - - - - - - - =1 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Diodes - - - - - - - - - - - - - OP-Amps - - - - - - - - - - - - - - - - - - - - - - - - - - Capacitors - Nullator - Sources - - - - - - - - Gates - Hilfsobjekte - - - - - - - - - - - - Supply - - Memristor - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Darlington - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Photo-transistor - NPN - PNP - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - M - - - - - - - - - - - - - - - Others - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Thyristors - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - P-Gate Thyristor - N-Gate Thyristor - Vielschichtdiode - Diac - Triac - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Switches - Meters - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - JFET - Depl. - Enh. - GeneralFET - MOS-Transistor - Bipolar-Transistor - N-Typ - P-Typ - General - Motors - Flowcharts - Solar-Cell - Crystal - Thermoelement - Comperator - Gyrator - Potentiometer - Inductors - - - - - - - - - - - - - - - - - Line widths: 0.2mm and 0.4mm - Antenna - Fuse - - - - - - - - - - - © 2013, LaTeX4EI - - - - - - - - - - - - - - - - - - - - - - - - - Advanced: - Basic Colors: - Black & Gray - Logo Color: - TUM Color Scheme - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Relay - - - - - - - - - 100% - 85% - 70% - 55% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/.template-files/latex4ei/template-files/cheatsheet_example.pdf b/.template-files/latex4ei/template-files/cheatsheet_example.pdf deleted file mode 100644 index ff26365c9d49b617f744611853b7b29a77de9943..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 225142 zcma%=LvSt(&}L)Xwr$&dW7{@vY}>YN+cs`&+c!?;o2mI%vzcCXue<7W^>fG-#U$vN z8Q5XS7gk2sVK|tGn1~#Vtzr21U>N1h>@8d^i8wi#IEnsG!7xf#*}9rJ6ERBI8o8Q@ znVC44n!yMNz__?Nn;F@`cx>MA+qmG4C+>aIIs#5W#>T975%=C{oJl6#zZB{8R@G`s zU`RB`M1V|%7L>2Mwhj7k^L9pOjNKo|NLddc9f9G@z05!Ocld1`1q_2N2pd{|YZ8KN zAb(rgr{FQ(#6O4c+^ya>rV$DFQ+@Vf9Aa>Kd|3C}3}@h5PQa7h?;maNzY{Pi{k`5# za)FrM{7Tqy`}iJ=HRtLSB$5#80sCgmc|*7+)%EsioV>$GX*Y{1Mi5>1e{pgMabtWA zY}uQC^ArH}0Er>Qc^NE#4c43|&Mhk5-J**9GT~N`4z{1|k23qBQ}U2ED17B;d8UAC zq3`#18$Q(E%K${xgMEvYb99q0(~;gG%18yAyp9^dBOXwQ*HBC^rl=23Rd&`%Lv_xD zuQKcXA_y3D{o!io)ha&!yiBxk^Q)RoaKm$w}l^<4|vZueW5Io0vW1Nyy{-^EQmuD%4VuBTSQ0o!|G3WcU)BF;MZkvSa z6Dr9S6*eEEDOyx(k%2EB)Ue^{)#Ndk;sUC1h z9uJ%aZmi-ixnK*Qr42b-E!sv65lcF5?6qf>eAVD&548Lzoc?wYJ?)9V98wBlC_pwV zw;?njkL{?zuueITm5KAFz_mQ?2BidbV67j_L{x;A;8fY0*%bhw&nQB zky_tlEWT+`8%=#`Mxs96+7ME>oErplUr21~!&Q|4gG`@G(JPQVN`z*oS6WCyd3~6( z^770w`#4Z^?Hj*Cw;+#;B+s(bxgb!v_C&@cZ8hn`GK=)q6xbwoC}HJMV+U_9a1Q3Y zQLt7zWroVgkk%SBOsycg1K%E@L7gaBdyjL+`M|J&ZNKT5T9XAb9r&RUyH1-54=x?t zZ0Q}1p_F(3FdMj9d}uJBP)z8XEO6$!-?)`;9larjkITm%Bn6CNx$_5}m{+OcRqn}gKj21ttITm3S{I{jxCZ59;b{K@ zem!S5FA<0#fq8;TeVU@7r|X@=Hg?%M_+jDzv{6Yde*9W#^%a+SmnE2o@?L;#2>TB0 zO`cW5vbVj%!AohxQGtS%sQr?P{1? zUVf&_jrzJxR@!$$r1I9RW^^IXGE>Gu5=h!qNv&()ch}q>lyj1)B>p^EQ1emtHOqO{*7}Cb1R)k=%6oM6|$#yT;|)6 zk&aZ|h)JJujG67>2=$%?37!!>80g%*xH-MziAKRq(44`G@LsO|j%zgHFs#|J(n$Cs zxaSb>-vSIm?>Hy{XJJW-~GOh`$ zI=O;jqXe5k8nXeFz#fJV76Bej0hJ)*sTb#cjTk$nD9A@}d~W_wh`#W08XVL+HVutv z*qnC}I|Pc6L+#dazhGGE)ve^QPaW164vVNsu{~aQV13|pe;atczf{sa-ko`^e?%Sv zH^nIfR?4sWS+z!m1W@M9#7-Lh#Pq4mW!rQ`pKUzbHyP(P&$vFQCPR~xDJ3%Tk<8EY zV`5;_{(w-n$2vcF0^|EA#s?rjjC9zEHOAxBiFZo{19A#-R% zf`X+n3Lvx?O7a*C{El@cwyC0LZCXPC5swv^bu|l=5j&aD3B|3&-vvs?!d8q?#fJnF ziETcxNpfvCnhI%7tV&k-(r-A>Lh#Vy3dc3H37=yWsWzqG_a=2x&`5Br4VkPHBPoM{ zaNY%(ifU_1!gByREt`_D5jO&VGbDr2%Ln%D+J#;#khJIWeF_q>O$jJ%=#dlx##Gh) zBU{l$iU889J=5%r9k4|A^7qiW`8E{{nn6`l8oQRPCJX2rMXEaOjvI_Q6quO6WI~I9 zMnQ2MQfC>9*W^*(!V4Q(A1du|i^G=~Kr=1^r-K_Sq&aZSDz$;|Oj@GaLi^&}Z=7|) zgarpp`jN&bqQ4k5=<5n9!2EjR7eR%i5`j{SVWB*t(lR?qQ3P^BTOe$!5kQE*>13IRuY?w0n z$@%A>7)!=j1R^G-PY0b#`8<~WnMOCU>#Z0eRdW3y5i8|N>f!cist_Y<8~yEHO&vC{ zmq6f5IOg!R@_&qVtlrTS6`P=oI@WARgy$$rHr6}CXoD+YMHdd2`v`q9h4vM7xP9SuB ziD2-4!x)qN74@~Lpak#5*T|5Gp)91`(ihqR3-@Rh+Z{L|GtdqT6NxfR%B?Qb?4gB* zw&csbaj@Hu=7TtySxsyskliOmW1EwShn(c+y;l|#e+c`aNAx{zm+$2dq^SrQeNZKp z^uIyNECwHyNpcCI7>PDoFG>pskzxPavDP_k$~{iEP2@oMiSfHhXGYpt`_q#N37F8_ z3eMTV?j6?SCO_kfrjbfXV7x1DAO-H^^#r5}@?`XK^r&ek95r;$OS5T#(%TMH{Jk&j zhyS>fSUr0uwW7g3hS!e65srM}81Kl1EcryE2d2{p@`O`PA8-@6dy8yFUqcv*dmMh5 z|3J|#ZYg6ak#CO(d1maAf7FVnTXzOfD8rbG>bAX*lebH#*EYzLNZqNYEy%S?g({|; zW@t

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Use the \ce{...} command to typeset chemical equations - -\begin{sectionbox} - - \subsection{Bleibatterie} - - \subsubsection{Reaktion an der positiven Elektrode} - \begin{center} - \boxed{$\ce{PbO2 + 3H+ +HSO4- +2e- <=>[\text{disch.}][\text{charge}] PbSO4 + 2H2O}$} - \end{center} - $\ce{O2}$ Entwicklung (Selbstentladung): $\ce{H2O -> 1/2O2 + 2H+ +2e-}$\\ - Korrosion $\ce{Pb}$ (Alterung): $\ce{Pb + 2H2O -> PbO2 + 4H+ +4e-}$ -\end{sectionbox} - - -% DOCUMENT_END ================================================================= -\end{document} diff --git a/.template-files/latex4ei/template-files/cheatsheet_template.tex b/.template-files/latex4ei/template-files/cheatsheet_template.tex deleted file mode 100644 index c073a12..0000000 --- a/.template-files/latex4ei/template-files/cheatsheet_template.tex +++ /dev/null @@ -1,65 +0,0 @@ -% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % -% LaTeX4EI Template for Cheat Sheets Version 1.0 -% -% Authors: Emanuel Regnath, Martin Zellner -% Contact: info@latex4ei.de -% Encode: UTF-8, tabwidth = 4, newline = LF -% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % - - -% ====================================================================== -% Document Settings -% ====================================================================== - -% possible options: color/nocolor, english/german, threecolumn -% defaults: color, english -\documentclass[english]{latex4ei/latex4ei_sheet} - -% set document information -\title{LaTeX4EI \\ Cheat Sheet} -\author{LaTeX4EI} % optional, delete if unchanged -\myemail{info@latex4ei.de} % optional, delete if unchanged -\mywebsite{www.latex4ei.de} % optional, delete if unchanged - - -% ====================================================================== -% Begin -% ====================================================================== -\begin{document} - - -% Title -% ---------------------------------------------------------------------- -\maketitle % requires ./img/Logo.pdf - - -% Section -% ---------------------------------------------------------------------- -\section{Math} - - -\begin{sectionbox} - \subsection{Sinus} - - Text goes here ... - - -\end{sectionbox} - - -\begin{sectionbox} - \subsection{Cosinus} - - Text goes here ... - - -\end{sectionbox} - - - - - -% ====================================================================== -% End -% ====================================================================== -\end{document} diff --git a/.template-files/latex4ei/template-files/report_example.tex b/.template-files/latex4ei/template-files/report_example.tex deleted file mode 100644 index faf9ceb..0000000 --- a/.template-files/latex4ei/template-files/report_example.tex +++ /dev/null @@ -1,84 +0,0 @@ -% document settings -\documentclass{latex4ei/latex4ei_report} % article - -% fonts -%\renewcommand{\rmdefault}{cmr} % cmr, ptm, ppl, pnc, pbk -%\renewcommand{\sfdefault}{cmss} % cmss, phv pag -%\renewcommand{\familydefault}{\rmdefault} % set main font - -\title{Assignment 2 Report} -\studentemail{myemail@server.com} -\author{John Smith} -\matrikelnr{03678902} - -\setlength{\parindent}{0pt} % indent at new line - - -% document begin -\begin{document} - -\maketitle - -\begin{abstract} - The number of communication interfaces within modern vehicles are increasing and manufactures are replacing more and more mechanical solutions for control by electronics and software \cite{alarm}. - People want to access information from the internet while driving. While this could have a lot of benefits, it also has to be investigated whether these additional interfaces of a wireless car could open opportunities for hackers to attack the internal control systems of the car via the intra-vehicle communication protocols. - In this report I have summarized the concept and vulnerabilities of the FlexRay protocol which is considered as successor of CAN for safety critical components. -\end{abstract} -\vspace{1cm} - - -\section{Introduction} -% ------------------------------------------------- - -The number of communication interfaces for cars are continously increasing. Among them are cellular connectivity, wireless internet access and remote diagnostic. Also vehicle-to-vehicle and vehicle-to-infrastructure will probabliy cause a large scale of cyber attacks against modern vehicles \cite{safe}. If one of the ECUs is captured by an attacker, the question is whether he can gain access to more safety-critical components of the car. This question can be answered by investigating on the security features of todays in-vehicle communication protocols. -At first a short overview of the different protocols and their features is given. Table \ref{tab_protocols} summarizes the main properties of these protocols. - - \subsection{CAN} - The Controler Area Network (CAN) is the a very common bus protocol in automotives and was developed in the 1980s. It is an event triggered protocol that sends the messages to all nodes. Each node decides according to the message ID if it wants to receive and read the message or not . The message ID is also used to indicate the priority to ensure the important messages are always transmitted first. CAN is quite robost against electromagnetic noise by using its differntial wiring combined with mechanisms to detect transmission errors. Additional it features fault localization and the ability to disconnect a fault controller \cite{wolf}. - - \subsection{LIN} - The Local Interconnect Network (LIN) is a newer protocol, published in 2002 as version 1.3 and intended for a lower cost, single wire implementation. It is based on the on the Enhanced ISO9141 standard. There is one master and up to 16 slaves with dynamic address assignment. The data is transmitted serial with a data rate up to $\SI{20}{kbp/s}$. It also offers time synchronization for nodes that do not have a stable time basis \cite{edn}. - - - -\section{Conclusion} -% ------------------------------------------------- -Since FelxRay was designed for reliability and not especially for security it does not address most of the security properties. Therefore any device on the bus can listen to all messages that are sent between other devices and analyze the content. It was shown by several research groups that attacks exploiting FlexRay protocol are realistic and could be used to create unintended behavior of the vehicle. -With mechanisms already applied to many internet services the security of the FlexRay bus could be increased. These mechanisms include encryption, authentication signatures or special detection units that observe the bus traffic. - - - - -\begin{thebibliography}{1} - - \bibitem{edn} - \url{http://www.edn.com/design/test-and-measurement/4391269/Debugging-automotive-serial-buses--CAN--LIN-and-FlexRay-exposed}, Accessed on 15/10/2015 - - - \bibitem{nilsson} - Dennis K. Nilsson, Ulf E. Larson, Francesco Picasso, and Erland Jonsson -- \emph{A First Simulation of Attacks in the Automotive Network Communications Protocol FlexRay}, Springer-Verlag Berlin Heidelberg, 2009 - - \bibitem{attacker} - Nilsson, D.K., Larson, U.E. -- \emph{Simulated Attacks on CAN Buses: Vehicle virus.}, Proceedings of the Fifth IASTED Asian Conference on Communication Systems and Networks, 2008 - - - \bibitem{alarm} - Sabarathinam Chockalingam and Harjinder S. Lallie -- \emph{Alarming! Security Aspects of the Wireless Vehicle: Review}, International Journal of Cyber-Security and Digital Forensics, 2014 - - \bibitem{safe} - Gang Han, Haibo Zeng, Yaping Li, and Wenhua Dou -- \emph{SAFE: Security-Aware FlexRay Scheduling Engine}, IEEE, 2014 - - \bibitem{specs} - \emph{FlexRay Communications System}, Protocol Specification, Version 3.0.1 - - \bibitem{wolf} - Marko Wolf, André Weimerskirch, and Christof Paar -- \emph{Security in Automotive Bus Systems}, Proceedings of the Workshop on Embedded Security in Cars (escar)’04, 2004 - - \bibitem{fujitsu} - Fujitsu Microelectronics – \emph{Next Generation Car Network - FlexRay}, 2006 - -\end{thebibliography} - -\end{document} - - diff --git a/Formelsammlung.pdf b/Formelsammlung.pdf index d4ab2ff49fdf967d35dfa1fe76de162101fc5ded..cc97e83023a2fbb737e40e84e844216f8264091f 100644 GIT binary patch delta 21457 zcmV)5K*_(*mkgzp3=kzyL`E$!E;R}z(A34)3OJDw6aq3amyziKD3MPNf7wRw-FCSq 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zlGEz~vql|8{PF@L;0$g9UC0JnqtQ#!aC+>rd~G*R13k|uEh&q>DVsXL;j+sTT5B26 zlf_xC!O+7`UMCUNP$)DTyTFsX^X2dsN)3QVH|KDkxxc^vlC*gG`uXU^Bq|MfhlaNs zs&aFFn|PO5vzU6NE!-@=rcLKFB^NHX*r4o$(-c2)#A!h|8=eYlYJG0^YNHL0Gb&O( zbx{8~gd^fUKB(h9 diff --git a/Formelsammlung.tex b/Formelsammlung.tex index 70852e7..384e064 100644 --- a/Formelsammlung.tex +++ b/Formelsammlung.tex @@ -35,12 +35,10 @@ % Section % ---------------------------------------------------------------------- -\input{themen/Mengenlehre/main.tex} - - - - +\section{Mengenlehre} +\input{themen/Mengenlehre/definition.tex} +\input{themen/Mengenlehre/operations.tex} % ====================================================================== diff --git a/latex4ei/latex4ei.sty b/latex4ei/latex4ei.sty new file mode 100644 index 0000000..0ffc2fb --- /dev/null +++ b/latex4ei/latex4ei.sty @@ -0,0 +1,331 @@ +% +% Macros for LaTeX4EI +% +% Authors: Emanuel Regnath, Martin Zellner +% Contact: info@latex4ei.de +% Version: 1.0 +% License: TBD +% +% © 2011-2015, LaTeX4EI + +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{latex4ei}[2013/05/06 Macros for LaTeX4EI] + +% Options +% ---------------------------------------------------------------------- + \newif\ifcolor\colortrue + \def\thelanguage{english} + + \DeclareOption{color}{\colortrue} + \DeclareOption{nocolor}{\colorfalse} + \DeclareOption{german}{\def\thelanguage{ngerman}} + \DeclareOption{english}{\def\thelanguage{english}} + + \ProcessOptions\relax + + +% ====================================================================== +% Basic Settings +% ====================================================================== + +% Identify Compiler +% ---------------------------------------------------------------------- + \RequirePackage{ifxetex} + + % Check compiler. Hint: delete aux files if changing the compiler + \ifxetex% + %\@namedef{ver@fixltx2e.sty}{9999/12/31}% + + %XeLaTeX + \PassOptionsToPackage{no-math}{fontspec} + \RequirePackage{xltxtra} + \defaultfontfeatures{Scale=MatchLowercase,Mapping=tex-text} + + % for unicode decalarations + %\let\DeclareUnicodeCharacter\newunicodechar + \setmainfont{Times New Roman} + \setromanfont{Times New Roman} + \setsansfont{Helvetica} + + % some hacking for scientific.sty + \AtBeginDocument{ + \renewcommand{\C}{\mathbb C} + \renewcommand{\B}{\mathbb B} + } + \else + % pdfLaTeX + \RequirePackage[utf8]{inputenc} % UTF-8 input + \RequirePackage{latex4ei/latex4ei_unicode} % UTF-8 input of math symbols + \InputIfFileExists{glyphtounicode}{\pdfgentounicode=1}{} % Glyph-to-Unicode Translation (needs PdfTex >=1.4) + %\RequirePackage{textcomp} % get rid of font warnings + %\pdfminorversion=6 % for 3D Objects + %\RequirePackage[osf]{mathpazo} % old style numbering + \fi + +% Basic LaTeX Settings +% ---------------------------------------------------------------------- + \pretolerance=60 + \tolerance=2000 + \doublehyphendemerits=10000 % No consecutive line hyphens. + \brokenpenalty=10000 % No broken words across columns/pages. + \widowpenalty=9999 % Almost no widows at bottom of page. + \clubpenalty=9999 % Almost no orphans at top of page. + \interdisplaylinepenalty=100 + \interfootnotelinepenalty=9999 % Almost never break footnotes. + + + % Save \title, \author, \date before \maketitle + \RequirePackage[pagebackref=true,pdfpagelabels]{hyperref} + + % Title + \makeatletter + \renewcommand{\title}[1]{% + \gdef\@title{#1}% + \gdef\thetitle{#1} + \pdfstringdef{\@pdftitle}{\@title}% + \hypersetup{pdftitle=\@pdftitle}% + } + + % Institution + \providecommand{\institution}[1]{ + \gdef\theinstitution{#1} + } + + % Author + \renewcommand{\author}[1]{% + \gdef\@author{#1}% + \gdef\theauthor{#1} + \pdfstringdef{\@pdfauthor}{\@author}% + \hypersetup{pdfauthor=\@pdfauthor}% + } + + % Date + \global\let\thedate\@date + \renewcommand{\date}[1]{% + \gdef\@date{#1}% + \gdef\thedate{#1} + } + \makeatother + + % Email + \providecommand{\myemail}[1]{\gdef\theemail{#1}} + % Web page + \providecommand{\mywebsite}[1]{\gdef\thewebsite{#1}} + % Date with git commit number + \providecommand{\mydate}[1]{\gdef\themydate{#1}} + + % set defaults + \author{LaTeX4EI} + \title{A LaTeX4EI Document} + \myemail{info@latex4ei.de} + \mywebsite{www.latex4ei.de} + \mydate{\today} + + + \AtBeginDocument{ + % set pdfoptions + \hypersetup{ + pdftitle={\thetitle}, + pdfauthor={\theauthor}, + pdfcreator={LaTeX4EI template (www.latex4ei.de)}, + pdfkeywords={latex4ei} + } + } + + +% Language +% ---------------------------------------------------------------------- + + \RequirePackage[english, ngerman]{babel} + + \RequirePackage{iflang} + \providecommand{\EngGer}[2]{\IfLanguageName{english}{#1}{#2}} + \expandafter\selectlanguage\expandafter{\thelanguage} + \AtBeginDocument{\expandafter\selectlanguage\expandafter{\thelanguage}} + +% Graphics +% ---------------------------------------------------------------------- + \RequirePackage{graphicx} % for including images + \graphicspath{ {img/} {gfx/} } % set default search paths for figures + + %\RequirePackage{tikz} % tikz graphics + %\RequirePackage{multirow} % multirow text + + +% ====================================================================== +% Colors +% ====================================================================== +\RequirePackage{latex4ei/latex4ei_colors} + +\ifcolor + \colorlet{col_chapter_num}{tum_gray} + \colorlet{col_chapter}{tum_blue_dark} + \colorlet{col_section}{tum_blue_dark} + \colorlet{col_subsection}{tum_blue_dark} + \colorlet{col_subsubsection}{black} + \colorlet{col_paragraph}{black} + + \colorlet{col_link}{tum_blue_dark} + \colorlet{col_table}{tum_blue_dark} + \colorlet{col_figure}{tum_blue_dark} + \colorlet{col_itemize}{tum_blue_dark} + + \colorlet{col_lst}{tum_blue_dark} + \colorlet{col_lst_keyword}{tum_blue} + \colorlet{col_lst_comment}{tum_green_leaf} + \colorlet{col_lst_string}{tum_orange} + \colorlet{col_lst_number}{tum_gray_dark} +\else + \colorlet{col_chapter_num}{tum_gray} + \colorlet{col_chapter}{black} + \colorlet{col_section}{black} + \colorlet{col_subsection}{black} + \colorlet{col_subsubsection}{black} + \colorlet{col_paragraph}{black} + + \colorlet{col_ref}{black} + \colorlet{col_link}{black} + \colorlet{col_table}{black} + \colorlet{col_figure}{black} + \colorlet{col_itemize}{black} + + \colorlet{col_lst}{black} + \colorlet{col_lst_keyword}{black} + \colorlet{col_lst_comment}{tum_gray} + \colorlet{col_lst_string}{black} + \colorlet{col_lst_number}{tum_gray_dark} +\fi + +\hypersetup{ + colorlinks=true, + linkcolor=col_link, + urlcolor=col_link, + citecolor=col_link, +} + + + +% ====================================================================== +% Macros +% ====================================================================== + + +% Formatting adjustments +% ---------------------------------------------------------------------- +\RequirePackage{accents} % accent dots for derivation + + % Thicker dots for derivatives + \renewcommand*{\dot}[1]{\accentset{\mbox{\textrm{\large\bfseries .}} }{#1}} + \renewcommand*{\ddot}[1]{\accentset{\mbox{\textrm{\large\bfseries .\hspace{-0.25ex}.}}}{#1}} + \renewcommand*{\dddot}[1]{\accentset{\mbox{$\overset{\textrm{\large\bfseries .}}{\textrm{\large\bfseries.\hspace{-0.25ex}.}}$}}{#1}} + +% Shortcuts for symbols +% ---------------------------------------------------------------------- + \providecommand{\ul}[1]{\ensuremath{\underline{#1}}} % Underline + \providecommand{\ol}[1]{\ensuremath{\overline{#1}}} % Overline + \providecommand{\bs}[1]{\ensuremath{\boldsymbol{#1}}} % Bold and italic in mathmode + \providecommand{\Ra}{\ensuremath{\Rightarrow}} % Rightarrow + \providecommand{\ra}{\ensuremath{\rightarrow}} % Rightarrow + \providecommand{\lra}{\ensuremath{\longrightarrow}} % Longrightarrow + \providecommand{\upa}{\ensuremath{\uparrow}} + \providecommand{\downa}{\ensuremath{\downarrow}} + \providecommand{\bdot}{\ensuremath{\boldsymbol \cdot}} % Thick dot for vector product + \providecommand{\svdots}{\ensuremath{\olddot :}} % Small vertical dots + \providecommand{\shdots}{\ensuremath{\!\cdot \!\cdot\!\cdot\!}} % Small horizontal dots + +% Terms and definitions +% ---------------------------------------------------------------------- + + % Define BibTeX command + \def\BibTeX{{\rm B\kern-.05em{\sc i\kern-.025em b}\kern-.08em T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}} + + % ToDo Command + \makeatletter + \providecommand{\todo}[1]{% + \textcolor{red}{\bf ToDo:\@ifundefined{@captype}{\marginpar{\color{red}\bf ToDo!}}{\relax} #1} %check for float environments + } + \makeatother + + % Special term + \providecommand{\term}[1]{\textit{#1}} + + % Related work + \providecommand{\work}[1]{\textit{#1}} + + % Email + \providecommand{\email}[1]{\href{mailto:#1}{\nolinkurl{#1}}} + +% References and Links +% ---------------------------------------------------------------------- + + % several ref macros + \providecommand\figureref[1]{\hyperref[#1]{\figurename~\ref*{#1}}} + \providecommand\figurepageref[1]{\figureref{#1}(p.~\pageref{figure:#1})} + \providecommand\tableref[1]{\hyperref[#1]{\tablename~\ref*{#1}}} + \providecommand\tablepageref[1]{\tableref{#1}(p.~\pageref{table:#1})} + \providecommand\sourcecoderef[1]{\hyperref[#1]{\lstlistingname~\ref*{#1}}} + \providecommand\sourcecodepageref[1]{\sourcecoderef{#1}(p.~\pageref{sourcecode:#1})} + \providecommand\chapterref[1]{\chaptername~\ref*{\chaptername:#1}(p.~\pageref{chapter:#1})} + \providecommand\sectionref[1]{\textsection~\ref*{section:#1}(p.~\pageref{section:#1})} + \providecommand\appendixref[1]{\appendixname~\ref*{appendix:#1}(p.~\pageref{appendix:#1})} + + + % break also on hyphens inside the \url command + \def\UrlBreaks{\do\.\do\@\do\\\do\/\do\!\do\_\do\|\do\;\do\>\do\]% + \do\)\do\,\do\?\do\'\do+\do\=\do\#\do-} % \do- is new! + + + +% ====================================================================== +% Environments +% ====================================================================== +\RequirePackage{caption} + +% Tables +% ---------------------------------------------------------------------- + \captionsetup[table]{labelfont={color=col_table,sf},textfont={sf,small}} + + % table rules + \def\trule{\noalign{\vspace{1pt}\hrule\hrule\vspace{2pt}}} % top rule + \def\mrule{\noalign{\vspace{1pt}\hrule\vspace{2pt}}} % middle rule + \def\brule{\noalign{\vspace{2pt}\hrule\hrule\vspace{1pt}}} % bottom rule + + % colored table rules + %\def\ctrule{\noalign{{\color{col_table}\hrule\hrule}\vspace{2pt}}} % colored top rule + %\def\cmrule{\noalign{\vspace{1pt}{\color{col_table}\hrule}\vspace{2pt}}} % colored middle rule + %\def\cbrule{\noalign{\vspace{2pt}{\color{col_table}\hrule\hrule}}} % colored bottom rule + + % TDB + \def\ctrule{\noalign{\vspace{1pt}\begingroup\color{col_table}\hrule\hrule\endgroup\vspace{2pt}}} % colored top rule + \def\cmrule{\noalign{\vspace{1pt}\begingroup\color{col_table}\hrule\endgroup\vspace{2pt}}} % colored middle rule + \def\cbrule{\noalign{\vspace{2pt}\begingroup\color{col_table}\hrule\hrule\endgroup\vspace{1pt}}} % colored bottom rule + +% Figures +% ---------------------------------------------------------------------- + \captionsetup[figure]{labelfont={color=col_figure,sf},textfont={sf,small}} + +% Sourcecode listings +% ---------------------------------------------------------------------- + \RequirePackage{listings} + \lstset{ + basicstyle=\normalsize\tt\lst@ifdisplaystyle\small\fi, + tabsize=4, + %gobble=auto, % skip initial tabs %not supported yet + numbers=none, % switch numbers on: left + numberstyle=\tiny\sf\color{col_lst_number}, + numbersep=1em, + keepspaces=true, + keywordstyle=\color{tum_blue_dark}, + commentstyle=\color{col_lst_comment}, + stringstyle=\color{col_lst_string}, + captionpos = t, + frame = tb, + %framextopmargin={\smallskipamount}, + %framexbottommargin={\smallskipamount}, + framerule=1pt, + rulecolor = \color{col_lst}, + } + \captionsetup[lstlisting]{labelfont={color=col_figure,sf},textfont={sf,small}} + + % Inline code listings + \let\code\lstinline diff --git a/latex4ei/latex4ei_boxes.sty b/latex4ei/latex4ei_boxes.sty new file mode 100644 index 0000000..19f08da --- /dev/null +++ b/latex4ei/latex4ei_boxes.sty @@ -0,0 +1,186 @@ +% +% Boxes for LaTeX4EI +% +% Authors: Emanuel Regnath, Martin Zellner +% Contact: info@latex4ei.de +% Version: 1.0 +% License: TBD +% +% © 2011-2015, LaTeX4EI + +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{latex4ei_boxes}[2015/02/06 Boxes for LaTeX4EI] + + +% Packages +% ---------------------------------------------------------------------- +\RequirePackage{mdframed} % package to make frames for exaples, definitions and theorems +\RequirePackage{enumitem} +\RequirePackage{latex4ei/latex4ei_colors} % color definitions + + +% ====================================================================== +% Styles +% ====================================================================== + +% Basic box +% ---------------------------------------------------------------------- + \mdfdefinestyle{specialbox}{ + % Outer Margins + leftmargin=0mm, + rightmargin=0mm, + startcode={\vspace{0.4em}}, % FIX: spacing bug on nested frames + endcode={\vspace{0.4em}}, % FIX: spacing bug on nested frames + skipabove=0mm, % FIX: spacing bug on nested frames + skipbelow=0mm, % FIX: spacing bug on nested frames + % inner margins + innertopmargin=1mm, + % frame + linewidth=0.3mm + } + +% Sectionbox: provides grey boxes for better readablitity of sections +% ---------------------------------------------------------------------- + \global\mdfdefinestyle{sectionbox}{ + startcode={\makeatother\if@nobreak\vspace{3cm}\null\vspace{-3cm}\fi\makeatletter}, % FIX: breaks 3cm after section + nobreak=true, % FIX: unwanted behavior with multicolumn + % Margin left, right, bottom and top of the boxes (-1 mm for higher width) + leftmargin=-1mm, + rightmargin=-1mm, + skipbelow=1mm, + skipabove=1mm, + % Inner margin of the content of the box + innerleftmargin=1mm, + innerrightmargin=1mm, + innertopmargin=1mm, + % Colors of lines and background + backgroundcolor=col_sectionbox!3, + linecolor=col_sectionbox + } + +% Emphbox: box with red line around for important definitions +% ---------------------------------------------------------------------- + \global\mdfdefinestyle{emphbox}{ + % basic style + style=specialbox, + align=center, + % background color + backgroundcolor=lightyellow, + % frame color + linecolor=col_emphbox + } + +% Symbolbox +% ---------------------------------------------------------------------- + \global\mdfdefinestyle{symbolbox}{ + % basic style + style=specialbox, + % background color + backgroundcolor=col_symbolbox!5, + % orange outer line + linecolor=col_symbolbox + } + +% Bluebox +% ---------------------------------------------------------------------- + \global\mdfdefinestyle{bluebox}{ + % basic style + style=specialbox, + % show only top and bottom line + hidealllines=true, + topline=true, + bottomline=true, + % background + backgroundcolor=col_cookbox!5, + % Line color + linecolor=col_cookbox, + % Title + frametitlerule=true, + frametitlebackgroundcolor=col_cookbox!5, + frametitlealignment=\centering, + frametitleaboveskip=1mm, + frametitlebelowskip=1mm + } + +% Tablebox +% ---------------------------------------------------------------------- + \global\mdfdefinestyle{tablebox}{ + % basic style + style=specialbox, + % show only top and bottom line + hidealllines=true, + topline=true, + bottomline=true, + % inner margin + innerleftmargin=0em, + innerrightmargin=0em, + % Color + backgroundcolor=col_table!5, + % Title + frametitlerule=true, + frametitlebackgroundcolor=col_table!5, + frametitleaboveskip=1mm, + frametitlebelowskip=1mm, + % line color + linecolor=col_table + } + + +% ====================================================================== +% Environments +% ====================================================================== + +% sectionbox +% ---------------------------------------------------------------------- + \newmdenv[style=sectionbox]{sectionbox} + +% bluebox +% ---------------------------------------------------------------------- + \newmdenv[style=bluebox]{bluebox} + +% emphbox +% ---------------------------------------------------------------------- + \newmdenv[style=emphbox, startinnercode={\centering}]{emphbox} + \newmdenv[style=emphbox]{emphbox*} + +% symbolbox +% ---------------------------------------------------------------------- + \newmdenv[style=symbolbox]{symbolbox} + +% tablebox +% ---------------------------------------------------------------------- + \newmdenv[style=tablebox]{tableboxframe} + \newenvironment{tablebox}[1]{ + % beginning + \setlength{\tabcolsep}{4pt} + \begin{tableboxframe}%[frametitle=\begin{tabular*}{\columnwidth}{@{\extracolsep\fill}#1@{}}#2\end{tabular*}] + \begin{tabular*}{\columnwidth}{@{\extracolsep\fill}#1@{}}% + }{ + %ending + \end{tabular*}% + \end{tableboxframe} + } + \newenvironment{tablebox*}[1]{ + % beginning + \setlength{\tabcolsep}{4pt} + \begin{tableboxframe} + \centering + \begin{tabular}{@{}#1@{}}% + }{ + %ending + \end{tabular}% + \end{tableboxframe} + } + +% cookbox +% ---------------------------------------------------------------------- + \newenvironment{cookbox}[1]{ + \begin{bluebox}[frametitle=#1] + \begin{enumerate}[label=\bfseries\arabic*.] + }{ + \end{enumerate} + \end{bluebox} + } + +% Ende von \input +\endinput diff --git a/latex4ei/latex4ei_colors.sty b/latex4ei/latex4ei_colors.sty new file mode 100644 index 0000000..7728099 --- /dev/null +++ b/latex4ei/latex4ei_colors.sty @@ -0,0 +1,85 @@ +% +% latex package with color scheme +% +% Authors: Emanuel Regnath, Martin Zellner +% Contact: info@latex4ei.de +% Version: 1.0 +% License: TBD +% +% © 2011-2015, LaTeX4EI + +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{latex4ei_colors}[2015/03/30 Colors for LaTeX4EI] + +% Packages +% ---------------------------------------------------------------------- + \RequirePackage{xcolor} + +% Own Macros +% ---------------------------------------------------------------------- + % define command to provide colors + \makeatletter + \providecommand{\providecolor}[2]{% + \@ifundefinedcolor{#1}{\colorlet{#1}{#2}}{}} + \makeatother + +% ====================================================================== +% Color Scheme +% ====================================================================== + +% TUM Color Palette +% ---------------------------------------------------------------------- + % Note: The following color definitions are copied + % from the official TUM Styleguide + + % the tum logo color + \definecolor{col_tum_logo}{RGB}{0, 101, 189} % Pantone 300 + + % additional blue colors + \definecolor{tum_blue_dark2}{RGB}{0, 51, 89} % Pantone 540 + \definecolor{tum_blue_dark}{RGB}{0, 82, 147} % Pantone 301 + \definecolor{tum_blue}{RGB}{0, 115, 207} % Pantone 285 + \definecolor{tum_blue_light}{RGB}{100, 160, 200} % Pantone 542 + \definecolor{tum_blue_light2}{RGB}{152, 198, 234} % Pantone 283 + + % emphasize colors + \definecolor{tum_green}{RGB}{162, 173, 0} % Pantone 383 + \definecolor{tum_orange}{RGB}{227, 114, 34} % Pantone 158 + \definecolor{tum_elfenbein}{RGB}{218, 215, 203} % Pantone 7527 + + % gray colors + \definecolor{tum_gray_dark}{RGB}{88, 88, 90} + \definecolor{tum_gray}{RGB}{156, 157, 159} + \definecolor{tum_gray_light}{RGB}{217, 218, 219} + + + % advanced colors + \definecolor{tum_purple}{RGB}{105, 8, 90} + \definecolor{tum_purple_dark}{RGB}{15, 27, 95} + + \definecolor{tum_blue_ocean}{RGB}{0, 119, 138} + \definecolor{tum_green_leaf}{RGB}{0, 124, 48} + \definecolor{tum_green_grass}{RGB}{103, 154, 029} + + \definecolor{tum_yellow}{RGB}{255, 220, 0} + \definecolor{tum_yellow_dark}{RGB}{249, 186, 0} + + \definecolor{tum_orange_dark}{RGB}{214, 76, 19} + + \definecolor{tum_red}{RGB}{196, 7, 27} + \definecolor{tum_red_dark}{RGB}{156, 13, 22} + +% Own colors (deprecated) +% ---------------------------------------------------------------------- + \definecolor{lightblue}{RGB}{235,235,255} + \definecolor{lightred}{RGB}{255,240,240} + \definecolor{lightgreen}{RGB}{240,255,240} + \definecolor{lightyellow}{RGB}{255,255,240} + \definecolor{lightblue}{RGB}{220, 240, 247} + \definecolor{darkblue}{RGB}{23,110,138} + \definecolor{notsodarkblue}{RGB}{119,193,214} + \definecolor{tablecolor}{RGB}{0,128,0} + + \definecolor{lila}{RGB}{128,0,128} + \definecolor{latex4eiblau}{RGB}{86,124,136} + \definecolor{latex4eigruen}{RGB}{150,163,110} diff --git a/latex4ei/latex4ei_report.cls b/latex4ei/latex4ei_report.cls new file mode 100644 index 0000000..640d1fb --- /dev/null +++ b/latex4ei/latex4ei_report.cls @@ -0,0 +1,297 @@ +% +% Report class from LaTeX4EI +% +% Authors: Emanuel Regnath, Martin Zellner +% Contact: info@latex4ei.de +% Version: 1.0 +% License: TBD +% +% © 2011-2015, LaTeX4EI + +\NeedsTeXFormat{LaTeX2e}[1996/12/01] +\ProvidesClass{latex4ei_report}[2015/03/15] + + +% ====================================================================== +% Options +% ====================================================================== + + % forward options to latex4ei package + \DeclareOption{color}{\PassOptionsToPackage{color}{latex4ei/latex4ei}} + \DeclareOption{nocolor}{\PassOptionsToPackage{nocolor}{latex4ei/latex4ei}} + + % define baseclass + \def\baseclass{scrartcl} + + % set default options for base class + \PassOptionsToClass{a4paper, 11pt}{\baseclass} + + % pass unknown options to base class + \DeclareOption*{% + \PassOptionsToClass{\CurrentOption}{\baseclass}% + } + + % process options + \ProcessOptions\relax + + % load baseclass + \LoadClass{\baseclass} + + +% ====================================================================== +% Packages +% ====================================================================== + + % pass options to packages + \PassOptionsToPackage{table}{xcolor} + + % load latex4ei packages + \RequirePackage{latex4ei/scientific} % scientific macros for LaTeX4EI + \RequirePackage{latex4ei/latex4ei} % base definitions for LaTeX4EI (privat) + + + \RequirePackage{abstract} + + + +% ====================================================================== +% Color Scheme +% ====================================================================== + + % Set Color Scheme + % ---------------------------------------------------------------------- + \definecolor{url}{gray}{0.6} + + +% ====================================================================== +% Fonts +% ====================================================================== + + % Font Settings + % ---------------------------------------------------------------------- + + % font + %\RequirePackage[osf]{mathpazo} % old style numbering + \renewcommand{\rmdefault}{ppl} % cmr, ptm, ppl, pnc, pbk + %\renewcommand{\sfdefault}{cmss} % cmss, phv pag + + + \shorthandoff{"} % don't convert "A to Ä! + + + % calculate linespacing based on font size + % char per line: 85 + \RequirePackage{setspace} + \linespread{1.3}\selectfont + + %\usepackage{microtype} % Verbesserung des Kernings, Achtung kompilezeit! + + + +% ====================================================================== +% Title +% ====================================================================== + \newcommand*{\@chair}{} + \newcommand*{\chair}[1]{\gdef\@chair{#1}} + + \newcommand*{\@university}{} + \newcommand*{\university}[1]{\gdef\@university{#1}} + + \newcommand*{\@professor}{} + \newcommand*{\professor}[1]{\gdef\@professor{#1}} + + \newcommand*{\@supervisors}{} + \newcommand*{\supervisors}[1]{\gdef\@supervisors{#1}} + + \newcommand*{\@startdate}{} + \newcommand*{\startdate}[1]{\gdef\@startdate{#1}} + + \newcommand*{\@finaldate}{} + \newcommand*{\finaldate}[1]{\gdef\@finaldate{#1}} + + \newcommand*{\@matrikelnr}{} + \newcommand*{\matrikelnr}[1]{\gdef\@matrikelnr{#1}} + + \newcommand*{\@studentemail}{} + \newcommand*{\studentemail}[1]{\gdef\@studentemail{#1}} + + + \def\maketitle{% + \begin{centering} + \vspace{1cm} + \begin{huge} + \textbf{\sffamily\@title} + \end{huge}\\[2em] + {\large \@author} \\[1em] + Registration no. \@matrikelnr \\ + E-mail: \email{\@studentemail} \\[2em] + \end{centering} + \thispagestyle{empty} + } + + + +% ====================================================================== +% Layout +% ====================================================================== + + % Page Layout + % ---------------------------------------------------------------------- + + \RequirePackage{geometry} + \geometry{hmargin=2.5cm, top=3cm, bottom=3.2cm} + + + \def\mparsetup{% + \sffamily\scriptsize % + \linespread{0.9}\selectfont% + \parindent=0pt \lineskip=0pt \lineskiplimit=0pt % + \tolerance=2000 \hyphenpenalty=300 \exhyphenpenalty=300% + \doublehyphendemerits=100000% + \finalhyphendemerits=\doublehyphendemerits} + + \let\oldmarginpar\marginpar % save old command + + \renewcommand{\marginpar}[1]{\oldmarginpar[\mparsetup\raggedleft\hspace{0pt}{#1}]{\mparsetup\raggedright\hspace{0pt}{#1}}} + + % Footnotes + % ---------------------------------------------------------------------- + + \long\def\@makefntext#1{% + \leftskip 0pt + \parindent 0pt + \everypar{\parindent 0pt}% + \leavevmode\llap{\@thefnmark\hskip\marginparsep}#1} % footnote number in margin + \renewcommand\footnoterule{% + \kern-3\p@ + \hrule\@width \columnwidth + \kern2.6\p@} + \skip\@mpfootins=4pt + + + % Sections + % ---------------------------------------------------------------------- + + \RequirePackage{titlesec} + %\titleformat{ command }[ shape ]{ format }{ label }{ sep }{ before }[ after ] + %\titlespacing*{ command }{ left }{ beforesep }{ aftersep }[ right ] + + + \titleformat{\section}{\sf\bfseries\LARGE\color{col_section}}{\thesection.\ }{0em}{} + \titleformat{\subsection}{\sf\bfseries\Large\color{col_subsection}}{\thesubsection.\ }{0em}{} + \titleformat{\subsubsection}{\scshape\large\color{col_subsubsection}}{\thesubsubsection.\ }{0em}{} + + + + +% ====================================================================== +% Lists & Equations +% ====================================================================== + + %\setlength{\itemsep}{\baselineskip} + \setlength{\itemsep}{0pt} + + \RequirePackage{enumitem} + \setitemize{itemsep=0pt} + \setenumerate{itemsep=0pt} + + +% ====================================================================== +% Float Environments +% ====================================================================== + + \RequirePackage{caption} + % Idea: short caption (for LOF) in bold, rest of caption as normal text + + % Figures + % ---------------------------------------------------------------------- + + \RequirePackage{graphicx} % for different input formats + \RequirePackage{pdfpages} + %\RequirePackage{media9} % for flash and 3D Objects + \RequirePackage[sf,SF]{subfigure} % Subfigures, sans-serif counters + + \makeatletter + \renewcommand\p@subfigure{\thefigure} + \renewcommand{\thefigure}{\@arabic\c@figure} + \renewcommand{\thesubfigure}{\alph{subfigure})} + \makeatother + + + \captionsetup[figure]{labelfont={color=col_figure,sf},textfont={sf,small}} + + +% ====================================================================== +% Macros +% ====================================================================== + + % Names + \providecommand{\name}[1]{\mbox{\textsc{#1}}} + \providecommand{\Prof}{Prof.~} + \providecommand{\Dr}{Dr.~} + \providecommand{\DiplIng}{Dipl.-Ing.~} + \providecommand{\MSc}{M.~Sc.~} + \providecommand{\habil}{habil.~} + \providecommand{\PD}{PD~} + + % Abbreviations + %\newcommand{\cf}{cf.\@\xspace} + \newcommand{\ea}{\& al.\@\xspace} + \newcommand{\eg}{e.\,g.\@\xspace} + \newcommand{\etc}{etc.\@\xspace} + \renewcommand{\iff}{if and only if\xspace} + \newcommand{\ie}{i.\,e.\@\xspace} + \newcommand{\wrt}{with respect to\xspace} + \newcommand{\wlg}{without loss of generality\xspace} + \newcommand{\Wlg}{Without loss of generality\xspace} + + +% ====================================================================== +% Others +% ====================================================================== + + % References and Links + % ---------------------------------------------------------------------- + + \hypersetup{ + pdfcreator={LaTeX2e}, + pdfborder=0 0 0, + breaklinks=true, + bookmarksopen=true, + bookmarksnumbered=true, + linkcolor=col_link, + urlcolor=col_link, + citecolor=col_link, + colorlinks=true + } + + % backref style + \renewcommand*{\backref}[1]{(cited on p. #1)} + +% Sourcecode listings +% ---------------------------------------------------------------------- + \RequirePackage{listings} + \lstset{ + basicstyle=\normalsize\tt\lst@ifdisplaystyle\small\fi, + tabsize=4, + %gobble=auto, % skip initial tabs %not supported yet + numbers=none, % switch numbers on: left + numberstyle=\tiny\sf\color{col_lst_number}, + numbersep=1em, + keepspaces=true, + keywordstyle=\color{tum_blue_dark}, + commentstyle=\color{col_lst_comment}, + stringstyle=\color{col_lst_string}, + captionpos = t, + frame = tb, + %framextopmargin={\smallskipamount}, + %framexbottommargin={\smallskipamount}, + framerule=1pt, + rulecolor = \color{col_lst}, + } + \captionsetup[lstlisting]{labelfont={color=col_figure,sf},textfont={sf,small}} + + % Inline code listings + \let\code\lstinline + +\endinput diff --git a/latex4ei/latex4ei_sheet.cls b/latex4ei/latex4ei_sheet.cls new file mode 100644 index 0000000..7b42782 --- /dev/null +++ b/latex4ei/latex4ei_sheet.cls @@ -0,0 +1,242 @@ +% +% Layout, Macros for LaTeX4EI +% +% Authors: Emanuel Regnath, Martin Zellner +% Contact: info@latex4ei.de +% Version: 1.0 +% License: CC-BY-NC-SA +% +% © 2011-2015, LaTeX4EI + +\NeedsTeXFormat{LaTeX2e} +\ProvidesClass{latex4ei_sheet}[2014/03/30 Cheet Sheet Template from LaTeX4EI] + +% ====================================================================== +% Options +% ====================================================================== + +% forward options to latex4ei package +% ---------------------------------------------------------------------- + \newif\ifcolor\colortrue + \DeclareOption{color}{\colortrue\PassOptionsToPackage{color}{latex4ei}} + \DeclareOption{nocolor}{\colorfalse\PassOptionsToPackage{nocolor}{latex4ei}} + \DeclareOption{german}{\colorfalse\PassOptionsToPackage{german}{latex4ei}} + \DeclareOption{english}{\colorfalse\PassOptionsToPackage{english}{latex4ei}} + + +% make three column design possible +% ---------------------------------------------------------------------- + \newcounter{columnnumber} + \setcounter{columnnumber}{4} + \DeclareOption{threecolumn}{\setcounter{columnnumber}{3}} + + +% mobile version +% ---------------------------------------------------------------------- + \newif\ifmobile\mobilefalse + \DeclareOption{mobile}{\mobiletrue\setcounter{columnnumber}{0}} + + +% defaults +% ---------------------------------------------------------------------- + % define baseclass + \def\baseclass{scrartcl} + + % set default options for base class + \PassOptionsToClass{6pt, a4paper, landscape}{\baseclass} + +% forward unknown options to class +% ---------------------------------------------------------------------- + \DeclareOption*{% + \PassOptionsToClass{\CurrentOption}{\baseclass}% + } + +% process options +% ---------------------------------------------------------------------- + \ProcessOptions\relax + + % load baseclass + \LoadClass{\baseclass} + +% ====================================================================== +% Packages +% ====================================================================== + % load latex4ei packages + \RequirePackage{latex4ei/scientific} % scientific macros for LaTeX4EI + \RequirePackage{latex4ei/latex4ei} % base definitions for LaTeX4EI + \RequirePackage{latex4ei/latex4ei_boxes} % section boxes + + +% ====================================================================== +% Layout +% ====================================================================== + +% Geometry +% ---------------------------------------------------------------------- + \RequirePackage{geometry} + \geometry{a4paper,landscape, left=6mm,right=6mm, top=6mm, bottom=5mm,includefoot, footskip=1.7em} + + +% Multicolumn +% ---------------------------------------------------------------------- + \ifmobile\else + \RequirePackage{multicol} % for columns + + % start multicolumn + \AtBeginDocument{ + \begin{multicols*}{\value{columnnumber}} + } + \AtEndDocument{ + \label{LastPage} + \end{multicols*} + } + \fi + + +% Header and Footer +% ---------------------------------------------------------------------- + \RequirePackage{fancyhdr} + + \pagestyle{fancy} + \fancyhf{} + + \AtBeginDocument{ + \fancyfoot[C]{\EngGer{from}{von} \theauthor\ -- Mail: \email{\theemail}} + } + \renewcommand{\headrulewidth}{0.0pt} %obere Linie ausblenden + \renewcommand{\footrulewidth}{0.1pt} %obere Linie ausblenden + + \fancyfoot[R]{\EngGer{Last revised}{Stand}: \themydate \qquad \thepage/\pageref{LastPage}} + \fancyfoot[L]{Homepage: \url{\thewebsite} -- \EngGer{Please report mistakes \emph{immediately}}{Fehler bitte \emph{sofort} melden}.} + + +% Title +% ---------------------------------------------------------------------- + \providecommand{\fstitle}[1]{ + \vspace{-20mm}{ + \parbox{2.3cm}{ + \includegraphics[height=1.4cm]{Logo.pdf} + } + \parbox{4cm}{ + \huge\textbf{#1} + }} + } + + \renewcommand{\maketitle}{\fstitle{\thetitle}} + +% Chapters and Sections +% ---------------------------------------------------------------------- + \RequirePackage{titlesec} + %\titleformat{ command }[ shape ]{ format }{ label }{ sep }{ before-code }[ after-code ] + %\titlespacing*{ command }{ left }{ beforesep }{ aftersep }[ right ] + + \makeatletter + \@addtoreset{section}{part} + \makeatother + + \titleformat{\part}{\pagebreak\huge \bfseries}{}{0em}{\huge \bfseries} + %\providecommand{\chapter}[1]{\vspace{0.5em}\noindent\textbf{\huge{#1}}\vspace{0.5em}} + %\titleformat{\chapter}{\huge \bfseries}{\thechapter}{0em}{\huge \bfseries} + \titleformat{\section}{\Large\bfseries\color{col_section}}{\thesection .}{0.5em}{\color{col_section}}%[\color{col_section} \hrule \hrule] + \titleformat{\subsection}{\large\bfseries\color{col_subsection}}{\thesubsection .}{0.3em}{} + \titleformat{\subsubsection}{\bfseries\color{col_subsubsection}}{\thesubsubsection .}{0.2em}{} + \titleformat{\paragraph}{\bfseries\color{col_paragraph}}{\theparagraph .}{0.2em}{} + + %\titlespacing{Überschriftart}{keine Ahnung}{Abstand oberhalb}{Abstand unterhalb} + \titlespacing{\section}{0em}{1.0em}{0.1em} + \titlespacing{\subsection}{0em}{0.2em}{-0.2em} + \titlespacing{\subsubsection}{0em}{0em}{-0.3em} + \titlespacing{\paragraph}{0em}{0em}{-0.3em} + +% Paragraphs +% ---------------------------------------------------------------------- + + \RequirePackage{parskip} % prevents intend on new paragraph + \setlength{\parskip}{1pt} + +% Font Settings +% ---------------------------------------------------------------------- + + % set sans as default font family + \renewcommand{\familydefault}{\sfdefault} + + % stretch linespace in arrays and tables + \renewcommand{\arraystretch}{1.2} + + +% ====================================================================== +% Environments +% ====================================================================== + \setlength{\itemindent}{0em} + \setlength\leftmargini{1.7em} + \setlength\itemsep{0em} + + +% ====================================================================== +% Other +% ====================================================================== + +% SI-Units Settings +% ---------------------------------------------------------------------- + \sisetup{per-mode=fraction} + \sisetup{sticky-per=true} + \AtBeginDocument{\sisetup{math-rm=\mathrm, text-rm=\rmfamily}} + + +% ====================================================================== +% Color Scheme +% ====================================================================== + +\ifcolor + \colorlet{col_section}{tum_blue_dark} + \colorlet{col_subsection}{black} + \colorlet{col_subsubsection}{black} + \colorlet{col_sectionbox}{gray} + + \colorlet{col_emphbox}{tum_red} + \colorlet{col_topicbox}{tum_blue_dark} + \colorlet{col_symbolbox}{tum_orange} + \colorlet{col_cookbox}{tum_blue_dark} + + \colorlet{col_table}{tum_blue_dark} +\else + \colorlet{col_section}{black} + \colorlet{col_subsection}{black} + \colorlet{col_subsubsection}{black} + + \colorlet{col_sectionbox}{gray} + \colorlet{col_emphbox}{black} + \colorlet{col_topicbox}{black} + \colorlet{col_symbolbox}{black} + \colorlet{col_cookbox}{black} + + \colorlet{col_table}{black} +\fi + +% Color for listings +\lstset{ + backgroundcolor=\color{col_lst!5}, +} + +% ====================================================================== +% Mobile Version +% ====================================================================== +\ifmobile + \geometry{ + paperwidth=7.3cm, + paperheight=20cm, + portrait, + left=1em,right=1em, top=1em, bottom=1em, + noheadfoot, footskip=0em + } + + % title + \renewcommand{\maketitle}{ + \fstitle{\thetitle} + \setcounter{tocdepth}{2} + \tableofcontents + \pagebreak + } + \pagestyle{empty} + \newcommand{\columnbreak}{\relax} +\fi diff --git a/latex4ei/latex4ei_unicode.sty b/latex4ei/latex4ei_unicode.sty new file mode 100644 index 0000000..e02be55 --- /dev/null +++ b/latex4ei/latex4ei_unicode.sty @@ -0,0 +1,278 @@ +% +% Unicode for LaTeX4EI packages +% +% Authors: Emanuel Regnath, Martin Zellner +% Contact: info@latex4ei.de +% Version: 1.0 +% License: TBD +% +% © 2011-2015, LaTeX4EI + + +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{latex4ei_unicode}[2013/05/01 Unicode Symbols] + +% Already defined via textcomp: +% „“”äüö + +% Greek, small, capital, variants +\DeclareUnicodeCharacter{2014}{\ensuremath{\dash}} +\DeclareUnicodeCharacter{03B1}{\ensuremath{\alpha}} % α +\DeclareUnicodeCharacter{03B2}{\ensuremath{\beta}} % β +\DeclareUnicodeCharacter{03B3}{\ensuremath{\gamma}} % γ +\DeclareUnicodeCharacter{03B4}{\ensuremath{\delta}} % δ +\DeclareUnicodeCharacter{03B5}{\ensuremath{\varepsilon}} % ε +\DeclareUnicodeCharacter{03B6}{\ensuremath{\zeta}} % ζ +\DeclareUnicodeCharacter{03B7}{\ensuremath{\eta}} % η +\DeclareUnicodeCharacter{03B8}{\ensuremath{\theta}} % θ +\DeclareUnicodeCharacter{03B9}{\ensuremath{\iota}} % ι +\DeclareUnicodeCharacter{03BA}{\ensuremath{\kappa}} % κ +\DeclareUnicodeCharacter{03BB}{\ensuremath{\lambda}} % λ +\DeclareUnicodeCharacter{03BC}{\ensuremath{\mu}} % μ +\DeclareUnicodeCharacter{00B5}{\ensuremath{\mu}} %micro -- geht nicht! +\DeclareUnicodeCharacter{03BD}{\ensuremath{\nu}} % ν +\DeclareUnicodeCharacter{03BE}{\ensuremath{\xi}} % ξ +\DeclareUnicodeCharacter{03C0}{\ensuremath{\pi}} % π +\DeclareUnicodeCharacter{03C1}{\ensuremath{\rho}} % ρ +\DeclareUnicodeCharacter{03C3}{\ensuremath{\sigma}} % σ +\DeclareUnicodeCharacter{03C4}{\ensuremath{\tau}} % τ +\DeclareUnicodeCharacter{03C5}{\ensuremath{\upsilon}} % υ +\DeclareUnicodeCharacter{03C6}{\ensuremath{\varphi}} % φ +\DeclareUnicodeCharacter{03C7}{\ensuremath{\chi}} % χ +\DeclareUnicodeCharacter{03C8}{\ensuremath{\psi}} % ψ +\DeclareUnicodeCharacter{03C9}{\ensuremath{\omega}} % ω + +\DeclareUnicodeCharacter{0393}{\ensuremath{\Gamma}} % Γ +\DeclareUnicodeCharacter{0394}{\ensuremath{\Delta}} % Δ +\DeclareUnicodeCharacter{0398}{\ensuremath{\Theta}} % Θ +\DeclareUnicodeCharacter{039B}{\ensuremath{\Lambda}} % Λ +\DeclareUnicodeCharacter{039E}{\ensuremath{\Xi}} % Ξ +\DeclareUnicodeCharacter{03A0}{\ensuremath{\Pi}} % Π +\DeclareUnicodeCharacter{03A3}{\ensuremath{\Sigma}} % Σ +\DeclareUnicodeCharacter{03A6}{\ensuremath{\Phi}} % Φ +\DeclareUnicodeCharacter{03A8}{\ensuremath{\Psi}} % Ψ +\DeclareUnicodeCharacter{03A9}{\ensuremath{\Omega}} % Ω + +\DeclareUnicodeCharacter{03C2}{\ensuremath{\varsigma}} % ς +\DeclareUnicodeCharacter{03D1}{\ensuremath{\vartheta}} % ϑ +\DeclareUnicodeCharacter{03D2}{\ensuremath{\Upsilon}} % ϒ +\DeclareUnicodeCharacter{03D5}{\ensuremath{\phi}} % ϕ +\DeclareUnicodeCharacter{03D6}{\ensuremath{\varpi}} % ϖ +\DeclareUnicodeCharacter{03F0}{\ensuremath{\varkappa}} % ϰ in package of ams +\DeclareUnicodeCharacter{03F1}{\ensuremath{\varrho}} % ϱ +\DeclareUnicodeCharacter{03F5}{\ensuremath{\epsilon}} % ϵ + +% Symbols +\DeclareUnicodeCharacter{2020}{\ensuremath{\dagger}} % † +\DeclareUnicodeCharacter{2021}{\ensuremath{\ddagger}} % ‡ +\DeclareUnicodeCharacter{2113}{\ensuremath{\ell}} % ℓ +\DeclareUnicodeCharacter{2202}{\ensuremath{\partial}} % ∂ +\DeclareUnicodeCharacter{2205}{\ensuremath{\emptyset}} % ∅ +\DeclareUnicodeCharacter{2207}{\ensuremath{\nabla}} % ∇ +\DeclareUnicodeCharacter{220F}{\ensuremath{\prod}} % ∏ +\DeclareUnicodeCharacter{2211}{\ensuremath{\sum}} % ∑ +\DeclareUnicodeCharacter{222B}{\ensuremath{\int}} % ∫ +\DeclareUnicodeCharacter{222C}{\ensuremath{\iint}} % ∬ +\DeclareUnicodeCharacter{222D}{\ensuremath{\iiint}} % ∭ +\DeclareUnicodeCharacter{221D}{\ensuremath{\propto}} % ∝ +\DeclareUnicodeCharacter{221E}{\ensuremath{\infty}} % ∞ + + + + +\DeclareUnicodeCharacter{222E}{\ensuremath{\oint}} % ∮ +\DeclareUnicodeCharacter{222F}{\ensuremath{\oiint}} % ∯ +\DeclareUnicodeCharacter{2230}{\ensuremath{\oiiint}} % ∰ +\DeclareUnicodeCharacter{2A0C}{\ensuremath{\iiiint}} + +% Double-struck + +\DeclareUnicodeCharacter{2102}{\ensuremath{\mathbb{C}}} % ℂ +\DeclareUnicodeCharacter{210D}{\ensuremath{\mathbb{H}}} % ℍ +\DeclareUnicodeCharacter{2115}{\ensuremath{\mathbb{N}}} % ℕ +\DeclareUnicodeCharacter{2119}{\ensuremath{\mathbb{P}}} % ℙ +\DeclareUnicodeCharacter{211A}{\ensuremath{\mathbb{Q}}} % ℚ +\DeclareUnicodeCharacter{211D}{\ensuremath{\mathbb{R}}} % ℝ +\DeclareUnicodeCharacter{2124}{\ensuremath{\mathbb{Z}}} % ℤ +\DeclareUnicodeCharacter{1D53C}{\ensuremath{\mathbb{E}}} % 𝔼 +\DeclareUnicodeCharacter{1D542}{\ensuremath{\mathbb{K}}} % 𝕂 +\DeclareUnicodeCharacter{1D54A}{\ensuremath{\mathbb{S}}} % 𝕊 +\DeclareUnicodeCharacter{1D54B}{\ensuremath{\mathbb{T}}} % 𝕋 +\DeclareUnicodeCharacter{1D54C}{\ensuremath{\mathbb{U}}} % 𝕌 +\DeclareUnicodeCharacter{1D7D9}{\ensuremath{\mathbbm{1}}} % 𝟙 + + +% sub and super script +\DeclareUnicodeCharacter{2070}{\ensuremath{^0}} +\DeclareUnicodeCharacter{00B9}{\ifmmode^1\else\textonesuperior\fi} +\DeclareUnicodeCharacter{00B2}{\ifmmode^2\else\texttwosuperior\fi} +\DeclareUnicodeCharacter{00B3}{\ifmmode^3\else\textthreesuperior\fi} +\DeclareUnicodeCharacter{2074}{\ensuremath{^4}} +\DeclareUnicodeCharacter{2075}{\ensuremath{^5}} +\DeclareUnicodeCharacter{2076}{\ensuremath{^6}} +\DeclareUnicodeCharacter{2077}{\ensuremath{^7}} +\DeclareUnicodeCharacter{2078}{\ensuremath{^8}} +\DeclareUnicodeCharacter{2079}{\ensuremath{^9}} +\DeclareUnicodeCharacter{207A}{\ensuremath{^+}} % ⁺ +\DeclareUnicodeCharacter{207B}{\ensuremath{^-}} % ⁻ +\DeclareUnicodeCharacter{207C}{\ensuremath{^=}} +\DeclareUnicodeCharacter{207D}{\ensuremath{^(}} +\DeclareUnicodeCharacter{207E}{\ensuremath{^)}} +\DeclareUnicodeCharacter{2080}{\ensuremath{_0}} +\DeclareUnicodeCharacter{2081}{\ensuremath{_1}} +\DeclareUnicodeCharacter{2082}{\ensuremath{_2}} +\DeclareUnicodeCharacter{2083}{\ensuremath{_3}} +\DeclareUnicodeCharacter{2084}{\ensuremath{_4}} +\DeclareUnicodeCharacter{2085}{\ensuremath{_5}} +\DeclareUnicodeCharacter{2086}{\ensuremath{_6}} +\DeclareUnicodeCharacter{2087}{\ensuremath{_7}} +\DeclareUnicodeCharacter{2088}{\ensuremath{_8}} +\DeclareUnicodeCharacter{2089}{\ensuremath{_9}} +\DeclareUnicodeCharacter{208A}{\ensuremath{_+}} +\DeclareUnicodeCharacter{208B}{\ensuremath{_-}} + + + +% superscript +\DeclareUnicodeCharacter{1D43}{^a} +\DeclareUnicodeCharacter{1D47}{^b} +\DeclareUnicodeCharacter{1D9C}{^c} +\DeclareUnicodeCharacter{1D48}{^d} +\DeclareUnicodeCharacter{1D49}{^e} +\DeclareUnicodeCharacter{1DA0}{^f} +\DeclareUnicodeCharacter{1D4D}{^g} +\DeclareUnicodeCharacter{02B0}{^h} +\DeclareUnicodeCharacter{2071}{^i} +\DeclareUnicodeCharacter{02B2}{^j} +\DeclareUnicodeCharacter{1D4F}{^k} +\DeclareUnicodeCharacter{02E1}{^l} +\DeclareUnicodeCharacter{1D50}{^m} +\DeclareUnicodeCharacter{207F}{^n} +\DeclareUnicodeCharacter{1D52}{^o} +\DeclareUnicodeCharacter{1D56}{^p} +\DeclareUnicodeCharacter{02B3}{^r} +\DeclareUnicodeCharacter{02E2}{^s} +\DeclareUnicodeCharacter{1D57}{^t} +\DeclareUnicodeCharacter{1D58}{^u} +\DeclareUnicodeCharacter{1D5B}{^v} +\DeclareUnicodeCharacter{02B7}{^w} +\DeclareUnicodeCharacter{02E3}{^x} +\DeclareUnicodeCharacter{02B8}{^y} +\DeclareUnicodeCharacter{1DBB}{^z} +\DeclareUnicodeCharacter{1D2C}{^A} +\DeclareUnicodeCharacter{1D2E}{^B} +\DeclareUnicodeCharacter{1D30}{^D} +\DeclareUnicodeCharacter{1D31}{^E} +\DeclareUnicodeCharacter{1D33}{^G} +\DeclareUnicodeCharacter{1D34}{^H} +\DeclareUnicodeCharacter{1D35}{^I} +\DeclareUnicodeCharacter{1D36}{^J} +\DeclareUnicodeCharacter{1D37}{^K} +\DeclareUnicodeCharacter{1D38}{^L} +\DeclareUnicodeCharacter{1D39}{^M} +\DeclareUnicodeCharacter{1D3A}{^N} +\DeclareUnicodeCharacter{1D3C}{^O} +\DeclareUnicodeCharacter{1D3E}{^P} +\DeclareUnicodeCharacter{1D3F}{^R} +\DeclareUnicodeCharacter{1D40}{^T} +\DeclareUnicodeCharacter{1D41}{^U} +\DeclareUnicodeCharacter{1D42}{^W} + + +% Quantifiers +\DeclareUnicodeCharacter{2200}{\ensuremath{\forall}} %∀ +\DeclareUnicodeCharacter{2203}{\ensuremath{\exists}} %∃ +\DeclareUnicodeCharacter{2204}{\ensuremath{\nexists}} %∄ + +\DeclareUnicodeCharacter{2208}{\in} % ∈ +\DeclareUnicodeCharacter{2209}{\notin} % ∉ +\DeclareUnicodeCharacter{220B}{\ni} % ∋ +\DeclareUnicodeCharacter{220B}{\notni} % ∌ only in package txfonts/pxfonts + +% Roots +\DeclareUnicodeCharacter{221A}{\ensuremath{\sqrt}} +\DeclareUnicodeCharacter{221B}{\ensuremath{\sqrt[3]}} +\DeclareUnicodeCharacter{221C}{\ensuremath{\sqrt[4]}} + +% Relations +\DeclareUnicodeCharacter{2264}{\leq} % ≤ +\DeclareUnicodeCharacter{2265}{\geq} % ≥ +\DeclareUnicodeCharacter{226A}{\ll} % ≪ +\DeclareUnicodeCharacter{226B}{\gg} % ≫ +\DeclareUnicodeCharacter{2A7D}{\leqslant} % ⩽ +\DeclareUnicodeCharacter{2A7E}{\geqslant} % ⩾ + +\DeclareUnicodeCharacter{2248}{\approx} % ≈ +\DeclareUnicodeCharacter{2260}{\neq} % ≠ +\DeclareUnicodeCharacter{2261}{\equiv} % ≡ +\DeclareUnicodeCharacter{2262}{\nequiv} % ≢ only in package txfonts/pxfonts/MnSymbol +%\DeclareUnicodeCharacter{27C2}{\perp} % ⟂ +\DeclareUnicodeCharacter{22A5}{\perp} % ⊥ downtack + +\DeclareUnicodeCharacter{2282}{\subset} % ⊂ +\DeclareUnicodeCharacter{2283}{\supset} % ⊃ + +% Operations + +\DeclareUnicodeCharacter{2229}{\cap} % ∩ +\DeclareUnicodeCharacter{222A}{\cup} % ∪ + +\DeclareUnicodeCharacter{2227}{\ensuremath{\wedge}} % ∧ +\DeclareUnicodeCharacter{2228}{\ensuremath{\vee}} % ∨ + +\DeclareUnicodeCharacter{00D7}{\times} % × +\DeclareUnicodeCharacter{00F7}{\div} % ÷ +\DeclareUnicodeCharacter{2212}{-} % − + +\DeclareUnicodeCharacter{221A}{\sqrt} % √ + +\DeclareUnicodeCharacter{2295}{\oplus} % ⊕ +\DeclareUnicodeCharacter{2297}{\otimes} % ⊗ +\DeclareUnicodeCharacter{229B}{\circledast} % ⊛ +\DeclareUnicodeCharacter{2A01}{\bigoplus} % ⨁ +\DeclareUnicodeCharacter{2A02}{\bigotimes} % ⨂ + +\DeclareUnicodeCharacter{2218}{\circ} % ∘ +\renewcommand{\textperiodcentered}{\cdot} % · Unicode character already defined via textcomp + +% Modifiers +\providecommand{\textlnot}{\ensuremath{\neg}} % ¬ Unicode character already defined via textcomp +\renewcommand{\textlnot}{\ensuremath{\neg}} % ¬ Unicode character already defined via textcomp +\DeclareUnicodeCharacter{00AC}{\ensuremath{\lnot}} % ¬ +\DeclareUnicodeCharacter{00B1}{\ensuremath{\pm}} % ± +\DeclareUnicodeCharacter{2213}{\ensuremath{\mp}} % ∓ + + +% Arrows +\DeclareUnicodeCharacter{2190}{\ensuremath{\leftarrow}} % ← +\DeclareUnicodeCharacter{2191}{\ensuremath{\uparrow}} % ↑ +\DeclareUnicodeCharacter{2192}{\ensuremath{\to}} % → +\DeclareUnicodeCharacter{2191}{\ensuremath{\downarrow}} % ↓ +\DeclareUnicodeCharacter{21A6}{\ensuremath{\mapsto}} % ↦ + +\DeclareUnicodeCharacter{21D0}{\ensuremath{\Leftarrow}} % ⇐ +\DeclareUnicodeCharacter{21D2}{\ensuremath{\Rightarrow}} % ⇒ +\DeclareUnicodeCharacter{21D4}{\ensuremath{\Leftrightarrow}} % ⇔ + + + + +\DeclareUnicodeCharacter{22A8}{\ensuremath{\models}}% ⊨ +\DeclareUnicodeCharacter{22AD}{\ensuremath{\not\models}}% ⊭ + + +%\DeclareUnicodeCharacter{2220}{\ensuremath{}}% % ∠ +%\DeclareUnicodeCharacter{2221}{\ensuremath{}}% % ∡ +%\DeclareUnicodeCharacter{2222}{\ensuremath{}}% % ∢ + + +%\DeclareUnicodeCharacter{22B6}{\ensuremath{\fouriersymbol}}% % ⊶ +%\DeclareUnicodeCharacter{22B7}{\ensuremath{}}% % ⊷ +%\DeclareUnicodeCharacter{}{\ensuremath{}}% +%\DeclareUnicodeCharacter{}{\ensuremath{}}% +%\DeclareUnicodeCharacter{}{\ensuremath{}}% +%\DeclareUnicodeCharacter{}{\ensuremath{}}% +%\DeclareUnicodeCharacter{}{\ensuremath{}}% +%\DeclareUnicodeCharacter{}{\ensuremath{}}% + + diff --git a/latex4ei/scientific.sty b/latex4ei/scientific.sty new file mode 100644 index 0000000..8f35581 --- /dev/null +++ b/latex4ei/scientific.sty @@ -0,0 +1,247 @@ +% +% latex package with useful macros for scientific documents +% +% Authors: Emanuel Regnath, Martin Zellner +% Contact: info@latex4ei.de +% Version: 1.0 +% License: TBD +% +% © 2011-2015, LaTeX4EI + + +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{scientific}[2015/03/30 Scientific Macros for LaTeX4EI] + +% ====================================================================== +% Basic +% ====================================================================== + + % Identify Compiler + \RequirePackage{ifxetex} + \ifxetex% + \relax + \else% + % load following packages if and only if compiler is pdflatex + + + + \fi + + % load packages, order matter + \RequirePackage{amsmath} % math symbols and \DeclareMathOperator + \RequirePackage{esint} % more integral symbols + %\RequirePackage{accents} % accents such as \vec and \ddot + % additional packages + \RequirePackage{amssymb} % additional math + + + % save old commands + \let\oldvec = \vec + \let\olddot = \dot + \let\diameter = \O + + % formating indices + \newcommand{\ir}[1]{\sf #1} % index roman + + % differential delta + \newcommand{\diff}{\mathop{}\!\mathrm{\vphantom( d}} + + +% ====================================================================== +% SI Units +% ====================================================================== +\RequirePackage{siunitx} % SI package +\sisetup{per-mode=reciprocal} % use ^-1 instead of fractals +\sisetup{sticky-per=true} % every unit behind "per" is reciprocal +\newcommand{\unitof}[1]{\ensuremath{\left[#1\right]}} % unit of + + +% ====================================================================== +% Vectors and Matrices +% ====================================================================== + + % Define \utilde: from package undertilde.sty + \newlength\knuthian@fdfive + \def\mathpal@save#1{\let\was@math@style=#1\relax} + \def\utilde#1{\mathpalette\mathpal@save + {\setbox124=\hbox{$\was@math@style#1$}% + \setbox125=\hbox{$\fam=3\global\knuthian@fdfive=\fontdimen5\font$} + \setbox125=\hbox{$\widetilde{\vrule height 0pt depth 0pt width \wd124}$}% + \baselineskip=1pt\relax + \vtop{\copy124\copy125\vskip -\knuthian@fdfive}}} + + % vectors and matrices + \newcommand{\ma}[1]{\ensuremath{\utilde{\boldsymbol {#1}}}} % Matrixsymbol + \newcommand{\mat}[1]{\ensuremath{\arraycolsep=0.5em \begin{bmatrix} #1 \end{bmatrix}}} % Matrix + \newcommand{\tma}[3]{\ensuremath{{}_{#1} \ma #2_#3 }} % Trafomatrix + %\renewcommand{\vec}[1]{\ensuremath{\underline{\boldsymbol \begingroup#1\endgroup}}} % Vector bold and underlined + \newcommand{\vect}[1]{\ensuremath{\begin{pmatrix} #1 \end{pmatrix}}} % Vector + \newcommand{\mvect}[1]{\ensuremath{\left.\begin{matrix} #1 \end{matrix}\right]}}% Matrixvector + \newcommand{\tensor}[1]{\ensuremath{\underline{\underline{\boldsymbol #1}}}} % Tensor + \DeclareMathOperator{\diag}{diag} % diagonal matrix + + % vector operations + \newcommand{\norm}[1]{\ensuremath{\left\|#1\right\|}} % Norm + \DeclareMathOperator{\Sp}{Sp} % Spur (german for trace \tr) + + + + +% ====================================================================== +% Misc +% ====================================================================== + + % basic math + \providecommand{\hateq}{\ensuremath{\stackrel{\wedge}{=}}} % Entspricht + \providecommand{\floor}[1]{\ensuremath{\left\lfloor#1\right\rfloor}} % Abrunden + \providecommand{\ceil}[1]{\ensuremath{\left\lceil {#1} \right\rceil}} % Aufrunden + \providecommand{\sprod}[2]{\ensuremath{\left\langle #1, #2 \right\rangle }} % scalar product + \providecommand{\abs}[1]{\ensuremath{\left\vert#1\right\vert}} % absolute value) + \DeclareMathOperator{\const}{const.} % constant + \DeclareMathOperator{\sgn}{sgn} % signum + \DeclareMathOperator{\ld}{ld} % log_2 + \DeclareMathOperator{\ggT}{ggT} % ggT (german for gcd) + + % chemistry + \newcommand{\chem}[1]{\ensuremath{\displaystyle{\mathrm{#1}}}} % chemistry with \chem (simple) + \RequirePackage[version=3]{mhchem} % chemistry with \ce (advanced) + + + \newcommand{\rom}[1]{\ensuremath{\underline{\overline{\textsc{#1}}}}} % roman numbers + + +% ====================================================================== +% Important Constants +% ====================================================================== + + % math + \providecommand{\e}{\mathrm{e}} + + % physical + \providecommand{\kB}{\ensuremath{\mathrm{k}_{\text{B}}}} % Boltzman + \providecommand{\Rgas}{\ensuremath{\mathrm{R}}} % Allg. Gaskonstante + \providecommand{\NA}{\ensuremath{\mathrm{N}_{\text{A}}}} % Avogadro + + + +% ====================================================================== +% Complex and Hyper-complex Numbers +% ====================================================================== + + \newcommand{\cx}[1]{\boldsymbol{#1}} % complex number + \newcommand{\cxc}[1]{\ensuremath{\boldsymbol #1^*}} % Konjugiert complex number + \newcommand{\hx}[1]{\ensuremath{\mathfrak #1}} % hyper-complex number + \renewcommand{\i}{\ensuremath{\mathrm{i}}} % imaginary unit + \renewcommand{\j}{\ensuremath{\mathrm{j}}} % imaginary unit + \renewcommand{\k}{\ensuremath{\mathrm{k}}} % imaginary unit + + % real and imaginary part + \renewcommand{\Re}[1]{\ensuremath{\operatorname{Re}\left\{#1\right\}}} + \renewcommand{\Im}[1]{\ensuremath{\operatorname{Im}\left\{#1\right\}}} + + +% ====================================================================== +% Sets +% ====================================================================== + + % define sets + \newcommand{\iset}[2]{\ensuremath{\bigl\{ \bigl. #1 \, \bigr| \, #2 \bigr\}}} % intensional set + \newcommand{\eset}[1]{\ensuremath{\bigl\{#1\bigr\}}} % extensional set + + % abbreviations for important sets + \DeclareMathOperator{\N}{\mathbb N} % Natürliche Zahlen + \DeclareMathOperator{\R}{\mathbb R} % Reele Zahlen + \DeclareMathOperator{\C}{\mathbb C} % Komplexe Zahlen + \DeclareMathOperator{\K}{\mathbb K} % Reele oder komplexe Zahlen + \def\B{\operatorname{\mathbb B}} % Binäre Zahlen 1,0 + \def\O{\operatorname{\mathcal O}} % Landau + + % set operations + \let\cupplus\uplus % Vereinigunsmenge bzw. OR + \newlength{\caplength} + \setlength{\caplength}{\widthof{$\cap$}} + \DeclareMathOperator{\capdot}{\cap\hspace{-0.7\caplength}\text{\textperiodcentered}\hspace{0.4\caplength}} % Schnittmenge bzw. AND + + % topology + \newcommand{\interior}[1]{\ensuremath{\overset{{}_\circ}{#1}}} % Das Innere + + +% ====================================================================== +% Frequency Transformations (Fourier, Laplace, etc.) +% ====================================================================== + + % Define symbol for Transformations. Source: trfsigns.sty + \newcommand{\ftsymbol}{\mbox{\setlength{\unitlength}{0.1em} + \begin{picture}(25,4) + \put(3,3){\circle{4}} % empty + \put(5,3){\line(1,0){13}} + \put(19,3){\circle*{4}} % filled + \end{picture}}} + + % Define Transformations + \DeclareMathOperator{\FT}{\overset{\scriptscriptstyle\mathcal{F}}{\ftsymbol}} % Fourier Transform + \DeclareMathOperator{\LT}{\overset{\scriptscriptstyle\mathcal{L}}{\ftsymbol}} % Laplace Transform + \DeclareMathOperator{\DFT}{\overset{\scriptscriptstyle\mathcal{DF}}{\ftsymbol}} % Discrete Fourier Transform + \DeclareMathOperator{\DTFT}{\overset{\scriptscriptstyle\mathcal{DTF}}{\ftsymbol}} % Discrete Time Fourier Transform + \DeclareMathOperator{\ZT}{\overset{\scriptscriptstyle\mathcal{Z}}{\ftsymbol}} % Z-Transform + +% ====================================================================== +% Differential Geometry +% ====================================================================== + + \DeclareMathOperator{\grad}{grad} % Gradient + \def\div{\operatorname{div}} % Divergence + \DeclareMathOperator{\rot}{rot} % rotation + \DeclareMathOperator{\lpo}{\Delta} % laplace operator + \DeclareMathOperator{\laplace}{\Delta} % laplace operator + \DeclareMathOperator{\waveop}{\square} % wave operator + + +% ====================================================================== +% Signals +% ====================================================================== + + \DeclareMathOperator{\dirac}{\ensuremath{\delta}} % Dirac Distribution + \DeclareMathOperator{\heavi}{\ensuremath{\theta}} % Heaviside Step Function + \DeclareMathOperator{\sinc}{sinc} % Sinus Cardinalis + \DeclareMathOperator{\rect}{rect} % Rectangular + \DeclareMathOperator{\tri}{tri} % Triangular + \DeclareMathOperator{\erf}{erf} % Error Function + \DeclareMathOperator{\erfc}{erfc} % Error Function + + \providecommand{\SNR}{\mathrm{SNR}} % Signal Noise Ratio + \providecommand{\ACF}{\ensuremath{\varphi}} % autocorrelation function + \providecommand{\PSD}{\ensuremath{\Phi}} % Power-Spectral-Density + + +% ====================================================================== +% Stochastic +% ====================================================================== + + \renewcommand{\P}{\operatorname{\textsf{P}}} % Wahrscheinlichkeitsmaß + \DeclareMathOperator{\F}{\mathbb F} % Ereignisalgebra + \DeclareMathOperator{\X}{\textsf{\textit{X}}} % Zufallsvariable X + \DeclareMathOperator{\Y}{\textsf{\textit{Y}}} % Zufallsvariable Y + \DeclareMathOperator{\Z}{\textsf{\textit{Z}}} % Zufallsvariable Z + \DeclareMathOperator{\E}{\textsf{E}} % Erwartungswert + \newcommand{\ew}[1]{\textit{E} \left[ #1 \right]} % Erwartungswert (mit Parameter) + \DeclareMathOperator{\Var}{\textsf{Var}} % Varianz + \DeclareMathOperator{\Cov}{\textsf{Cov}} % Kovarianz + + +% ====================================================================== +% Logic +% ====================================================================== + + \renewcommand{\implies}{\ensuremath{\rightarrow}} % → + \let\limplies\implies + \providecommand{\lequiv}{\ensuremath{\leftrightarrow}} % ↔ + \providecommand{\lnand}{\ensuremath{|}} + \providecommand{\lxor}{\ensuremath{\downarrow}} + \providecommand{\ltrue}{w} + \providecommand{\lfalse}{f} + + +% Ende von \input +\endinput + diff --git a/themen/Mengenlehre/main.tex b/themen/Mengenlehre/main.tex deleted file mode 100644 index e6a92ba..0000000 --- a/themen/Mengenlehre/main.tex +++ /dev/null @@ -1,6 +0,0 @@ -\section{Mengenlehre} - - -\input{devinition.tex} -\input{operations.tex} -