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Formelsammlungen
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  1. 48
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      ELK2_FS/formelsammlung.tex
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      ELK2_FS/img/Logo.pdf
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      ELK2_FS/img/Logo.png
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      ELK2_FS/img/img_02_01_Standardstruktur.png
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      ELK2_FS/latex4ei/latex4ei.sty
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      ELK2_FS/latex4ei/latex4ei_boxes.sty
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      ELK2_FS/latex4ei/latex4ei_colors.sty
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      ELK2_FS/latex4ei/latex4ei_glossary.tex
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      ELK2_FS/latex4ei/latex4ei_report.cls
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      ELK2_FS/latex4ei/latex4ei_sheet.cls
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      ELK2_FS/latex4ei/latex4ei_thesis.cls
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      ELK2_FS/latex4ei/latex4ei_unicode.sty
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      ELK2_FS/latex4ei/scientific.sty
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      ELK2_FS/thema3_transistor.tex
  15. 35
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      ELK2_FS/thema4_linearer_OPV.tex
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      ELK2_FS/thema5_nichtlinearer_OPV.tex

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ELK2_FS/formelsammlung.tex View File

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% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% ELK2 Formelsammlung
%
% @encode: UTF-8, tabwidth = 4, newline = LF
% @author: Mario Fleischmann
% @source: http://www.latex4ei.de
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %


% ======================================================================
% Document Settings
% ======================================================================

% possible options: color/nocolor, english/german, threecolumn
% default: color, english
\documentclass[color,german]{latex4ei/latex4ei_sheet}
\usepackage{gensymb}
\usepackage{cancel}

% set document information
\title{Elektronik 2}
\author{Mario Fleischmann}
\myemail{fleischmannma75068@th-nuernberg.de}

\fancyfoot[L]{Keine Gewähr auf Vollständigkeit oder Richtigkeit!}

% DOCUMENT_BEGIN ===============================================================
\begin{document}

\IfFileExists{git.id}{\input{git.id}}{}
\ifdefined\GitRevision\mydate{\GitNiceDate\ (git \GitRevision)}\fi

\maketitle % requires ./img/Logo.pdf

% SECTION ====================================================================================
\input{./thema3_transistor.tex}
% ============================================================================================

% SECTION ====================================================================================
\input{./thema4_linearer_OPV.tex}
% ============================================================================================

% SECTION ====================================================================================
\input{./thema5_nichtlinearer_OPV.tex}
% ============================================================================================

% DOCUMENT_END ===============================================================================
\end{document}

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ELK2_FS/img/Logo.pdf View File


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ELK2_FS/img/img_02_01_Standardstruktur.png View File


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ELK2_FS/latex4ei/latex4ei.sty View File

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%
% Macros for LaTeX4EI
%
% Authors: Emanuel Regnath, Martin Zellner
% Contact: info@latex4ei.de
% Version: 1.1
% License: TBD
%
% © 2011-2019, LaTeX4EI

\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{latex4ei/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}
\usepackage{unicode-math}
\providecommand{\ocirc}{o}
\providecommand{\mathring}{o}

%\RequirePackage{xltxtra}


% for unicode decalarations
%\let\DeclareUnicodeCharacter\newunicodechar
\setmainfont{Times New Roman} % Libertinus Serif
\setromanfont{Times New Roman} % Libertinus Serif
\setsansfont{Helvetica}

% some hacking for scientific.sty
\AtBeginDocument{

% scale fonts to same x height
\defaultfontfeatures{Scale=MatchLowercase,Mapping=tex-text}

\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{{\rmfamily 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}{\bfseries ToDo:\@ifundefined{@captype}{\marginpar{\color{red}\bfseries ToDo!}}{\relax} #1} %check for float environments
}
\makeatother

% Special term
\providecommand{\term}[1]{\textit{#1}}

% small note
\providecommand{\note}[1]{\textit{Note: #1}}

% Related work
\providecommand{\work}[1]{\textit{#1}}

% Email
\providecommand{\email}[1]{\href{mailto:#1}{\nolinkurl{#1}}}

% References and Links
% ----------------------------------------------------------------------

\providecommand{\sectionname}{Section}

% several ref macros
\providecommand\figureref[1]{\hyperref[#1]{\figurename~\ref*{#1}}}
\providecommand\figurepageref[1]{\figureref{#1}~(p.~\pageref{#1})}
\providecommand\tableref[1]{\hyperref[#1]{\tablename~\ref*{#1}}}
\providecommand\tablepageref[1]{\tableref{#1}~(p.~\pageref{#1})}
\providecommand\listingref[1]{\hyperref[#1]{\lstlistingname~\ref*{#1}}}
\providecommand\listingpageref[1]{\listingref{#1}~(p.~\pageref{#1})}
\providecommand\chapterref[1]{\chaptername~\ref*{#1}~(p.~\pageref{#1})}
\providecommand\sectionref[1]{\hyperref[#1]{\sectionname~\ref*{#1}~(p.~\pageref{#1})}}
\providecommand\appendixref[1]{\appendixname~\ref*{#1}~(p.~\pageref{#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\ttfamily\lst@ifdisplaystyle\small\fi,
tabsize=4,
%gobble=auto, % skip initial tabs %not supported yet
numbers=none, % switch numbers on: left
numberstyle=\tiny\sffamily\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

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ELK2_FS/latex4ei/latex4ei_boxes.sty View File

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%
% Boxes for LaTeX4EI
%
% Authors: Emanuel Regnath, Martin Zellner
% Contact: info@latex4ei.de
% Version: 1.1
% License: TBD
%
% © 2011-2019, 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, % grey
backgroundcolor=col_sectionbox!0, % white
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

+ 86
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ELK2_FS/latex4ei/latex4ei_colors.sty View File

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%
% latex package with color scheme
%
% Authors: Emanuel Regnath, Martin Zellner
% Contact: info@latex4ei.de
% Version: 1.1
% License: TBD
%
% © 2011-2019, LaTeX4EI

\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{latex4ei/latex4ei_colors}[2016/03/30 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, 55%: 204, 210, 115
\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} % 55%: 173, 119, 164
\definecolor{tum_purple_dark}{RGB}{15, 27, 95} % 55%: 123, 130, 167

\definecolor{tum_blue_ocean}{RGB}{0, 119, 138} % 55%: 115, 180, 191
\definecolor{tum_green_leaf}{RGB}{0, 124, 48} % 55%: 115, 183, 141
\definecolor{tum_green_grass}{RGB}{103, 154, 029} % 55%: 172, 200, 131

\definecolor{tum_yellow}{RGB}{255, 220, 0} % 55%: 255, 236, 115
\definecolor{tum_yellow_dark}{RGB}{249, 186, 0}

\definecolor{tum_orange_dark}{RGB}{214, 76, 19}

\definecolor{tum_red}{RGB}{196, 7, 27} % 55%: 223, 119, 130
\definecolor{tum_red_dark}{RGB}{156, 13, 22} % 55%: 201, 122, 127


% 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}

+ 125
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ELK2_FS/latex4ei/latex4ei_glossary.tex View File

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% common abbreviations:
% ======================================================================
\renewcommand*\acronymname{List of Abbreviations}

\newacronym{AGL}{AGL}{Above Ground Level}
\newacronym{AMSL}{AMSL}{Above Mean Sea Level}

\newacronym{API}{API}{Application Programming Interface}
\newacronym{BIOS}{BIOS}{Basic Input/Output System}
\newacronym{CPU}{CPU}{Central Processing Unit}


\newacronym{FSM}{FSM}{Finite State Machine}
\newacronym{GDB}{GDB}{GNU Debugger}
\newacronym{GPS}{GPS}{Global Positioning System}
\newacronym{GUI}{GUI}{Graphical User Interface}

\newacronym{IEEE}{IEEE}{Institute of Electrical and Electronic Engineers}
\newacronym{IDE}{IDE}{Integrated Development Environment}
\newacronym{IRQ}{IRQ}{Interrupt Request}
\newacronym{ISR}{ISR}{Interrupt Service Routine}

\newacronym{JTAG}{JTAG}{Joint Test Action Group}

\newacronym{LUT}{LUT}{Look-Up Table}

\newacronym{MCU}{MCU}{Micro Controller Unit}
\newacronym{RAM}{RAM}{Random Access Memory}
\newacronym{ROM}{ROM}{Read-Only Memory}

\newacronym{OOP}{OOP}{Object Oriented Programming}
\newacronym{OS}{OS}{Operating System}
\newacronym{PCB}{PCB}{Printed Circuit Board}
\newacronym{RTOS}{RTOS}{Real-Time Operating System}
\newacronym{RTE}{RTE}{Run-Time Environment}


\newacronym{SIL}{SIL}{Safety Integrity Level}
\newacronym{USB}{USB}{Universal Serial Bus}

\newacronym{WCET}{WCET}{Worst Case Execution Time}

% special abbreviations
\newacronym{FAA}{FAA}{Federal Aviation Administration}
\newacronym{ESC}{ESC}{Electronic speed control}


% hardware abbr
\newacronym{FC}{FC}{Flight Controller}

\newacronym{DMA}{DMA}{Direct Memory Access}
\newacronym{GPIO}{GPIO}{General Purpose Input Output}
\newacronym{I2C}{I2C}{Inter-Integrated Circuit}
\newacronym{SPI}{SPI}{Serial Peripheral Interface}
\newacronym{SWD}{SWD}{Serial Wire Debug}
\newacronym{UART}{UART}{Universal Asynchronous Receiver Transmitter}

\newacronym{PWM}{PWM}{Pulse Width Modulation}

\newacronym{HAA}{HAA}{Hardware Abstraction Architecture}
\newacronym{HAL}{HAL}{Hardware Abstraction Layer}
\newacronym{HPL}{HPL}{Hardware Presentation Layer}
\newacronym{HIL}{HIL}{Hardware Interface Layer}


% software development
\newacronym{LSP}{LSP}{Liskov Substitution Principle}
\newacronym{HLR}{HLR}{High Level Requirements}
\newacronym{LLR}{LLR}{Low Level Requirements}
\newacronym{VV}{V\;\&\;V}{Validation and Verification}

\newacronym{}{}{}

% move some terms to hidden
\newignoredglossary{hidden}
\glsmoveentry{DMA}{hidden}
\glsmoveentry{GUI}{hidden}
\glsmoveentry{VV}{hidden}
\glsmoveentry{ISR}{hidden}
\glsmoveentry{GDB}{hidden}
\glsmoveentry{PCB}{hidden}


% nomenclature:
% ======================================================================
\newglossary{symbols}{sym}{sbl}{List of Symbols}

% add unit column
\glsaddkey{unit}{\glsentrytext{\glslabel}}{\glsentryunit}{\GLsentryunit}{\glsunit}{\Glsunit}{\GLSunit}


\newglossaryentry{kb}{
type=symbols,
name=$\mathrm{k}_{\mathrm{B}}$,
unit={},
description={Boltzmann Constant, $\mathrm{k}_{\mathrm{B}} = \SI{1.38064852e-23}{\meter\squared\kilo\gram\per\second\squared\kelvin}$},
}



% glossary terms
% ======================================================================
\newglossary{terms}{ter}{tms}{List of Terms}

\newglossaryentry{ARM}{
type=terms,
name=ARM,
description={is a software design company and supplies intellectual property for microprocessors.},
}


\newglossaryentry{firmware}{
type=terms,
name=firmware,
description={Software that is required to interface (one) specific hardware (e.g. BIOS).},
}

\newglossaryentry{subprogram}{
type=terms,
name=subprogram,
description={an encapsulated part of the whole program.},
}


+ 297
- 0
ELK2_FS/latex4ei/latex4ei_report.cls View File

@@ -0,0 +1,297 @@
%
% Report class from LaTeX4EI
%
% Authors: Emanuel Regnath, Martin Zellner
% Contact: info@latex4ei.de
% Version: 1.1
% License: TBD
%
% © 2011-2019, 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}{\sffamily\bfseries\LARGE\color{col_section}}{\thesection.\ }{0em}{}
\titleformat{\subsection}{\sffamily\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

+ 242
- 0
ELK2_FS/latex4ei/latex4ei_sheet.cls View File

@@ -0,0 +1,242 @@
%
% Layout, Macros for LaTeX4EI
%
% Authors: Emanuel Regnath, Martin Zellner
% Contact: info@latex4ei.de
% Version: 1.1
% License: CC-BY-NC-SA
%
% © 2011-2019, 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

+ 671
- 0
ELK2_FS/latex4ei/latex4ei_thesis.cls View File

@@ -0,0 +1,671 @@
%
% Thesis class from LaTeX4EI
%
% Authors: Emanuel Regnath, Martin Zellner
% Contact: info@latex4ei.de
% Version: 1.1
% License: TBD
%
% © 2011-2019, LaTeX4EI


% ToDo:
% * create \listofabbreviations \listoflistings
% * Screen_version und print_version
% * create title page
% TUM Styleguide: Liniebasis 0.3pt Linie Pfeil 0.6pt

% options: frontmatter, colors, ornaments, margin


\NeedsTeXFormat{LaTeX2e}[1996/12/01]
\ProvidesClass{latex4ei/latex4ei_thesis}[2014/03/15]


% ======================================================================
% Options
% ======================================================================

% forward options to latex4ei package
\DeclareOption{color}{\PassOptionsToPackage{color}{latex4ei}}
\DeclareOption{nocolor}{\PassOptionsToPackage{nocolor}{latex4ei}}

% define baseclass
\def\baseclass{scrreprt}

% Options
\newif\ifmarginnumbers\marginnumbersfalse
\DeclareOption{marginnumbers}{\marginnumberstrue}

\newcommand{\chapterallign}{\raggedright}
\DeclareOption{rightchapter}{%
\let\chapterallign\raggedleft
}

\newif\ifoptionbiblatex\optionbiblatexfalse
\DeclareOption{biblatex}{\optionbiblatextrue}

\newif\ifoptionglossaries\optionglossariesfalse
\DeclareOption{glossaries}{\optionglossariestrue}

% 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 biblatex if specified
\ifoptionbiblatex
\RequirePackage[style=ieee, backend=biber, datamodel=ieeestandard]{biblatex}
\fi

% \makeatletter
% \@ifpackagewith{biblatex}{backend=biber}{}
% \makeatother



% load latex4ei packages
\RequirePackage{latex4ei/scientific} % scientific macros for LaTeX4EI
\RequirePackage{latex4ei/latex4ei} % base definitions for LaTeX4EI (privat)


% packages needed
\RequirePackage{xspace} % For spacing behind commands
\RequirePackage{remreset} % For removing counters from resets

% fix for footnotes in tables
\RequirePackage{footnote}
\makesavenoteenv{tabular}
\makesavenoteenv{table}
%\shorthandoff{"} % don't convert "A to Ä!


% font
%\RequirePackage[osf]{mathpazo} % old style numbering
%\renewcommand{\rmdefault}{ppl} % cmr, ptm, ppl, pnc, pbk
%\renewcommand{\sfdefault}{cmss} % cmss, phv pag


% ======================================================================
% Color Scheme
% ======================================================================


% Set Color Scheme
% ----------------------------------------------------------------------
\definecolor{url}{gray}{0.6}
\definecolor{chapnum}{gray}{0.6}
\definecolor{ornament}{gray}{0.85}

%\definecolor{col_chapter}{gray}{0.6}
\colorlet{col_chapter}{tum_gray}


\colorlet{col_section}{tum_blue_dark2}
\colorlet{col_subsection}{tum_blue_dark2}
\colorlet{col_subsubsection}{tum_blue_dark2}
\colorlet{col_table}{tum_blue_dark}
\colorlet{col_figure}{tum_blue_dark}

\colorlet{col_link}{tum_blue}

\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}

% ======================================================================
% Fonts
% ======================================================================

% Font Settings
% ----------------------------------------------------------------------

% Initials with lettrine
\RequirePackage{lettrine}


% calculate linespacing based on font size
% char per line: 85
\RequirePackage{setspace}
% \setlength{\baselineskip}{3pt}
% \renewcommand{\baselinestretch}{1.5}
%\linespread{1.3}\selectfont
%\setstretch{1.3}
\onehalfspacing


%\usepackage{microtype} % Verbesserung des Kernings, Achtung kompilezeit!


% ======================================================================
% Bibtex
% ======================================================================

% Define BibTeX command
\def\BibTeX{{\rmfamily B\kern-.05em{\sc i\kern-.025em b}\kern-.08em T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}}


%\usepackage{natbib}
%\bibliographystyle{natdin}


% ======================================================================
% Title
% ======================================================================

\newcommand*{\thedoctype}{}
\newcommand*{\doctype}[1]{\gdef\thedoctype{#1}}


% hierarchy:
% university, faculty, department, institute, chair


\newcommand*{\theuniversity}{}
\newcommand*{\university}[1]{\gdef\theuniversity{#1}}

\newcommand*{\thedepartment}{}
\newcommand*{\department}[1]{\gdef\thedepartment{#1}}

\newcommand*{\thechair}{}
\newcommand*{\chair}[1]{\gdef\thechair{#1}}

\newcommand*{\theprofessor}{}
\newcommand*{\professor}[1]{\gdef\theprofessor{#1}}

\newcommand*{\theadvisor}{}
\newcommand*{\advisor}[1]{\gdef\theadvisor{#1}}

\newcommand*{\thecoadvisor}{}
\newcommand*{\coadvisor}[1]{\gdef\thecoadvisor{#1}}

\newcommand*{\thesubmitdate}{}
\newcommand*{\submitdate}[1]{\gdef\thesubmitdate{#1}}

\newcommand*{\theauthorsaddress}{}
\newcommand*{\authorsaddress}[1]{\gdef\theauthorsaddress{#1}}

\newcommand*{\thestudentnumber}{}
\newcommand*{\studentnumber}[1]{\gdef\thestudentnumber{#1}}


\newcommand*{\thelogoheader}{}
\newcommand*{\logoheader}[1]{\gdef\thelogoheader{#1}}




\def\maketitle{{%
\sffamily
% ------------------------------------------------------------------------
% Deckblatt
% ------------------------------------------------------------------------
\pagestyle{empty}
\let\footnotesize\small\let\footnoterule\relax
\thelogoheader
\vspace*{8cm}
\begin{center}\begin{minipage}[c]{0.8\textwidth}\begin{center}
{\huge \bfseries{\@title} \par}%
\vskip 3em%
{\LARGE\@author}
\end{center}\end{minipage}\end{center}
\par
\vfill
\begin{center}{\LARGE \bfseries{\thedoctype}}\end{center}\par

\cleardoublepage
% ------------------------------------------------------------------------
% Das ganze etwas genauer
% ------------------------------------------------------------------------
\vspace*{100pt}
\begin{center}\begin{minipage}{0.7\textwidth}\centering%
\vfil
{\LARGE \bfseries{\@title} \par}%
\vfil \vskip 2.5em
{\Large \thedoctype \par}%
\vfil
\end{minipage}\end{center}\par
\vfill \large
\begin{center}%
{{Supervised by \theprofessor \\ \thechair \\ \thedepartment \\ \theuniversity \\ }}
\end{center}\par
\vskip 1.5em
\vfill
\begin{tabular}{@{}l@{\hspace{1cm}}l}%
\bfseries{Advisor} & \parbox[t]{9cm}{\theadvisor}\\[1.3em]
\bfseries{Co-Advisor} & \parbox[t]{9cm}{{\thecoadvisor}}\\[1.3em]
\bfseries{Author} & \parbox[t]{9cm}{{\@author\\ \theauthorsaddress}} \\
\end{tabular}\\[2em]
Submitted on \thesubmitdate
}}



% ======================================================================
% Additional title pages
% --------------------------------------------------------------------
\newenvironment{acknowledgment}{%
\clearpage
\thispagestyle{empty}
\@makeschapterhead{Acknowledgment}
\sffamily
}{
}

\newenvironment{authordecl}{%
\cleardoublepage
\thispagestyle{empty}
\@makeschapterhead{Declaration of Authorship}
\sffamily
}{
}


% ======================================================================
% Abstract
% ======================================================================

\def\abstract{
\clearpage
\thispagestyle{plain}
\@makeschapterhead{\abstractname}
\sffamily
}{
}
\def\endabstract{
}

% ======================================================================
% Glossaries
% ======================================================================


\ifoptionglossaries
% Nomenclature with glossary, nomencl, acronym, acroterm
\RequirePackage[toc, acronym, style=long, nolist, nomain, nopostdot, nogroupskip]{glossaries}


\newglossarystyle{acronym}{%
\renewenvironment{theglossary}{
\setlength\LTleft{0pt}
\setlength\LTright{0pt}
\setlength{\glsdescwidth}{0.7\textwidth}
\setlength{\extrarowheight}{0em}%
\renewcommand*{\glossaryheader}{}% have nothing after \begin{theglossary}
\renewcommand*{\glsgroupheading}[1]{}%
\renewcommand*{\glsgroupskip}{}% have nothing between glossary groups
\begin{longtable}{@{}ll@{}}}{\end{longtable}}%
\renewcommand*{\glossaryentryfield}[5]{%
\textbf{\glstarget{##1}{##2}}% the entry name
##4% the symbol
& ##3% the description
\space\space ##5\\}% the number list
}

% darker color for glossary links
\renewcommand*{\glstextformat}[1]{\textcolor{tum_blue_dark2}{#1}}
\fi


% ======================================================================
% Structure
% ======================================================================

\newcommand\frontmatter{%
\setcounter{page}{1} % set page counter to 1
\pagenumbering{Roman} % roman figures
\loadgeometry{frontmatter} %
\pagestyle{empty} % no numbering in the frontmatter
\makeatletter
\let\ps@oldplain\ps@plain % backup
\let\ps@plain\ps@empty % set plain pagestyle to empty
\makeatother
}

\newcommand\mainmatter{%
\pagenumbering{arabic}
\loadgeometry{mainmatter}
\pagestyle{fancy}
\makeatletter
\fancy@setoffs % reload dimensions
\makeatother
}

\newcommand\mainmatterplain{%
\pagenumbering{arabic}
\loadgeometry{mainmatterplain}
\pagestyle{fancy}
\makeatletter
\fancy@setoffs % reload dimensions
\makeatother
}

\newcommand\backmatter{\pagenumbering{arabic}}


% ======================================================================
% Layout
% ======================================================================

% Page Layout
% ----------------------------------------------------------------------

\RequirePackage{geometry}

\newgeometry{
layout=a4paper, % DIN-A4
twoside,
bindingoffset = 1cm,
left=2.66cm, % whitespace left
right=2.66cm, % old 2.33
top=3cm,
bottom=3cm,
includeheadfoot
} \savegeometry{frontmatter}


\geometry{ %Gemometry with Margintext
layout=a4paper,
portrait,
twoside,
bindingoffset = 1cm,
% 9er Teilung
left=2.33cm, % whitespace left
right=3.66cm,
top=2.33cm,
bottom=2cm,
%reversemarginpar,
marginparsep = 4mm,
marginparwidth = 1.9cm, % witdh for marginal notes
includeheadfoot % reserve space for header and footer
} \savegeometry{mainmatter}

\geometry{ %Gemometry without Margintext
layout=a4paper,
portrait,
% twoside,
bindingoffset = 1cm,
% 9er Teilung
left=2.33cm, % whitespace left
right=2.33cm,
top=2.33cm,
bottom=3cm,
includeheadfoot % reserve space for header and footer
} \savegeometry{mainmatterplain}

% Header and Footer
% ----------------------------------------------------------------------

\usepackage{fancyhdr}
\pagestyle{fancy} % use fancyhdr pagestyle
\fancyhf{} % clear header and footer
\if@twoside %% Für Doppelseitig
\fancyhead[EL]{\textcolor{black!70}{\thepage}} % gerade Seiten, links
\fancyhead[ER]{\textcolor{black!70}{\leftmark}} % gerade Seiten, rechts
\fancyhead[OL]{\textcolor{black!70}{\itshape\rightmark}} % ungerade Seiten, links
\fancyhead[OR]{\textcolor{black!70}{\thepage}} % ungerade Seiten, rechts
\else %% Für Einseitig
\fancyhead[OL]{\textcolor{black!70}{\leftmark --- \itshape\nouppercase{\rightmark}}} % gerade Seiten, rechts
\fancyhead[OR]{\textcolor{black!70}{\thepage}} % gerade Seiten, links
\fi
\renewcommand{\headrulewidth}{0pt} % Underline headers
\renewcommand{\footrulewidth}{0pt} % no footer rule
%\fancypagestyle{plain}{} % No chapter+section on chapter start pages


\renewcommand{\chaptermark}[1]{\markboth{\MakeUppercase{#1}}{} } % redefine leftmark
\renewcommand{\sectionmark}[1]{\markright{#1}{} } % redefine rightmark

% Margin Notes
% ----------------------------------------------------------------------

\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


% Chapters and Sections
% ----------------------------------------------------------------------

\RequirePackage{titlesec}
%\titleformat{ command }[ shape ]{ format }{ label }{ sep }{ before }[ after ]
%\titlespacing*{ command }{ left }{ beforesep }{ aftersep }[ right ]


\newfont{\chapterNumber}{eurb10 scaled 9000}

%\titleformat{\chapter}[display]{\relax}{\raggedleft{\fontsize{100}{10}\selectfont\color{col_chapter}\thechapter} \\}{0em}{\raggedleft\sffamily\bfseries\huge}
\titleformat{\chapter}[display]{\relax}{\chapterallign{\chapterNumber\color{col_chapter}\thechapter} \\}{0em}{\chapterallign\sffamily\bfseries\huge}
%\titlespacing{\chapter}{0em}{0em}{2em}

% star chapter version
\titleformat{name=\chapter,numberless}[display]{\relax}{\relax}{0em}{\sffamily\bfseries\huge}
\titlespacing{name=\chapter,numberless}{0em}{0em}{2em}

% section with numbers in the margin
\ifmarginnumbers
\titleformat{\section}{\sffamily\Large\color{col_section}}{\llap{{\thesection}\hskip\marginparsep}}{0em}{}
\titleformat{\subsection}{\sffamily\large\color{col_subsection}}{\llap{{\thesubsection}\hskip\marginparsep}}{0em}{}
\titleformat{\subsubsection}{\scshape\color{col_subsubsection}}{\llap{{\thesubsubsection}\hskip\marginparsep}}{0em}{}
\else
\titleformat{\section}{\scshape\LARGE\color{col_section}}{\thesection\quad}{0em}{}
\titleformat{\subsection}{\sffamily\Large\color{col_subsection}}{\thesubsection\quad}{0em}{}
\titleformat{\subsubsection}{\scshape\color{col_subsubsection}}{\thesubsubsection\quad}{0em}{}
\titleformat{\paragraph}[runin]{\sffamily\color{col_paragraph}}{\theparagraph\quad}{0em}{}
\fi

\titlespacing{name=\paragraph,numberless}{0em}{0.5em}{1em}[5em]
\parskip = 0pt

\let\oldsection\section
\let\oldsubsection\subsection
%\renewcommand{\section}[1]{\oldsection{#1}\label{sec:#1}}
%\renewcommand{\subsection}[1]{\oldsubsection{#1}\label{sec:#1}}


% for problems with the TOC: \renewcommand\contentsname{\normalfont Contents}
% This way, your Table of Content’s title will stay untouched by any \titleformat command.

% Epigraph
% ----------------------------------------------------------------------
\providecommand{\epigraph}[3][6cm]{
{\vspace*{-1cm}\hfill\parbox{#1}{\linespread{1.1}\selectfont\itshape\small{#2}\\{\phantom{.}\hfill\upshape #3}\\[1em]}} }



% Colophon
% ----------------------------------------------------------------------
\newenvironment{colophon}{\newpage\color{black!70}}{\newpage}


% ======================================================================
% Lists & Equations
% ======================================================================

%\setlength{\itemsep}{\baselineskip}
\setlength{\itemsep}{0pt}

\RequirePackage{enumitem}
\setitemize{itemsep=0pt}
\setenumerate{itemsep=0pt}

% set own list item symbol
\renewcommand\labelitemi{\color{col_itemize}$\blacktriangleright$}

% change description label
\renewcommand{\descriptionlabel}[1]{\hspace{\labelsep}\color{col_paragraph}\textsf{#1}}
\setlist[description]{leftmargin=4em,labelindent=1.5em}

% Equations
% ----------------------------------------------------------------------
\RequirePackage{remreset}
\makeatletter
\@removefromreset{equation}{chapter} % nor reset of equation numbers, requires remreset package
\def\@eqnnum{{\normalfont \textcolor{gray}{\theequation}}} % diffrent equation number style
\makeatother

\AtBeginEnvironment{displaymath}{\displaystyle}


% ======================================================================
% Float Environments
% ======================================================================

\RequirePackage{caption}
% Idea: short caption (for LOF) in bold, rest of caption as normal text

% Figures
% ----------------------------------------------------------------------

%\RequirePackage{pdfpages}
%\RequirePackage{media9} % for flash and 3D Objects
\RequirePackage[sf,SF]{subfigure} % Subfigures, sans-serif counters

\makeatletter
\@removefromreset{figure}{chapter} % continous figure numbering
\renewcommand\p@subfigure{\thefigure}
\renewcommand{\thefigure}{\@arabic\c@figure}
\renewcommand{\thesubfigure}{\alph{subfigure})}
\makeatother


\captionsetup[figure]{labelfont={color=col_figure,sf},textfont={sf,small}}



% Captions
% ----------------------------------------------------------------------

% \makeatletter
%\let\x@caption\caption % original \caption
%\def\x@@caption[#1]#2{\x@caption[{#1}]{#1 #2}} % with optional arg
%\def\x@@@caption#1{\x@caption[{#1}]{#1}} % without optional arg
%\def\caption{\@ifnextchar[\x@@caption\x@@@caption} % new \caption
%\makeatother


% ======================================================================
% 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
% ----------------------------------------------------------------------

\RequirePackage{hyperref}
\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
\ifdefined\backref
\renewcommand*{\backref}[1]{cited on p. #1}
\fi

% Sourcecode listings
% ----------------------------------------------------------------------
\RequirePackage{listings}
\def\postbreak{\raisebox{0ex}[0ex][0ex]{\ensuremath{\hookrightarrow\space}}}

\lstset{
basicstyle=\normalsize\ttfamily\lst@ifdisplaystyle\linespread{0.85}\footnotesize\fi,
tabsize=4,
%gobble=auto, % skip initial tabs %not supported yet
numbers=left, % switch numbers on: left
numberstyle=\tiny\sffamily\color{col_lst_number},
numbersep=1em,
keepspaces=true,
breaklines=true,
breakatwhitespace=true,
postbreak=\postbreak,
keywordstyle=\bfseries\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

+ 276
- 0
ELK2_FS/latex4ei/latex4ei_unicode.sty View File

@@ -0,0 +1,276 @@
%
% Unicode for LaTeX4EI packages
%
% Authors: Emanuel Regnath, Martin Zellner
% Contact: info@latex4ei.de
% Version: 1.1
% License: TBD
%
% © 2011-2019, 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{}}%

+ 248
- 0
ELK2_FS/latex4ei/scientific.sty View File

@@ -0,0 +1,248 @@
%
% latex package with useful macros for scientific documents
%
% Authors: Emanuel Regnath, Martin Zellner
% Contact: info@latex4ei.de
% Version: 1.1
% License: TBD
%
% © 2011-2019, 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

\DeclareSIUnit{\degree}{deg}

% ======================================================================
% 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{\T}{\overset{\scriptscriptstyle\mathcal{}}{\ftsymbol}} % General Transformation
\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

+ 89
- 0
ELK2_FS/thema3_transistor.tex View File

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% ============================================================================================
\section{Transistorschaltungen}
% ============================================================================================

\begin{sectionbox}
\subsection{Bipolartransistor}
% NF Modell %
\begin{bluebox}
$g_m \approx \frac{{I_C}^{(A)}}{U_T}$ \quad\
$g_{ce} \approx \frac{{I_C}^{(A)}}{VAF}$ \quad\
$g_{be} \approx \frac{{g_m}^{(A)}}{BF(=β_0)}$
\end{bluebox}

% HF Modell %
\begin{bluebox}
\item$c_{bc} \approx {C_{JBC}}^{(A)} = \frac{CJC}{(1-\frac{{U_{BC}}^{(A)}}{VJC})^{^{MJC}}}$
\item$c_{be} \approx {C_{DBE}}^{(A)} = T_F \cdot g_m$
\end{bluebox}

% Typische Größenrelationen %
\begin{bluebox}
$g_m >> g_{be} >> g_{ce}$ \quad\
$g_m >> \omega \cdot c_{bc}$ \quad\
$c_{be} >> c_{bc}$
\end{bluebox}
\end{sectionbox}

\begin{sectionbox}
\subsection{Seriengegengekoppelte Emitterschaltung} % Ohne CE%
% Spannungsverstärkung %
$\underline{a}_V = \frac {-g_m \cdot {r_L}^*} {1+(g_m+g_{be}) \cdot R_E}$

% Schnittstellenimpedanzen %
$\underline{z}_{in,Tr} = r_{be} + (1+BF)\cdot R_E$ \newline
$\underline{z}_{a,Tr} = r_{ce}\cdot(1+(R_E||(r_{be}+{r_G}^*))\cdot\frac{g_m\cdot r_{be}}{r_{be}+{r_G}^*})$ \newline
$\underline{z}_{a,Tr}({r_G^*}=0) \approx r_{ce} \cdot (1 + g_m \cdot R_E))$

\subsection{Emitterschaltung}
% Spannungsverstärkung %
$\underline{a}_V = -g_m \cdot {r_L}^*$

% Schnittstellenimpedanzen %
$\underline{z}_{in,Tr} = r_{be}$
$\underline{z}_{a,Tr} = r_{ce}$

% Temperaturstabilität %
$\frac{{\Delta I_C}^{(A)}(\Delta T)}{\Delta T \cdot {I_C}^{(A)}} = \frac{6,5\%}{\degree C}\cdot \frac{\frac{1}{g_m \cdot R_E}}{1+\frac{1}{BF}+\frac{1}{g_m \cdot R_E}} \approx \frac{6,5\%}{\degree C}\cdot \frac{1}{1+g_m\cdot R_E}$

% Eckfrequenz Emitterkondensator
$f_{3dB,CE} = \frac {g_m} {2\pi \cdot C_E}$

\subsection{Kollektorschaltung}
% Spannungsverstärkung %
$\underline{a}_V = \frac{g_m \cdot {r_L}^*}{1+g_m \cdot {r_L}^*}$

% Schnittstellenimpedanzen %
$\underline{z}_{in,Tr} = r_{be} + (1+BF)\cdot {r_L}^*$ \newline
$\underline{z}_{a,Tr} = r_{ce} || (\frac{r_{be}+R_G}{\beta_0 + 1}) = r_{ce} || (\frac {1}{g_m + g_{be}}+\frac{R_G}{\beta_0 + 1})$

% HF - Verhalten
$c_{in} = c_{bc} + c_{be}\cdot\frac{r_{be}}{r_{in}}$

% Aussteuerbarkeit %
Aussteuerbarkeit:

$+\Delta U_{out,max} = UB - min.U_{CE}(\approx 0.7V) - {V_E}^{(A)}$ \newline $\approx {U_{CE}}^{(A)}$ \newline
$-\Delta U_{out,max} = - {I_C}^{(A)} \cdot {r_L}^* = - {I_C}^{(A)} \cdot (R_L||R_E||r_{ce})$

\end{sectionbox}

\begin{sectionbox}
\subsection{AC-, DC- Kopplung}

$f_{3dB,Ck1} = \frac{1}{2\pi\cdot (R_G + r_{in})\cdot C_{k1}}$ \newline
$f_{3dB,Ck2} = \frac{1}{2\pi\cdot (R_L + r_a)\cdot C_{k2}}$

\begin{cookbox}{Dominante Eckfrequenz}
\item Variante 1: $C_{k1}$ dominant: \newline
$f_{3dB,Ck2} << (\approx \frac{1}{10}) f_{3dB,Ck1} = f_{3dB,uB}$
\item Variante 2: \newline
$HP_2$: $f_{3dB,Ck2} = f_{3dB,Ck1} = 0,644 \cdot f_{3dB,uB}$
\end{cookbox}

\subsection{Differenzverstärkung}
$\underline{a}_{VD1} (=\frac{\underline{u}_{out1}}{\underline{u}_{id}}) = - \underline{a}_{VD2}(=\frac{-\underline{u}_{out2}}{\underline{u}_{id}}) $ \newline
$= -\frac{g_m}{2}\cdot (r_L||r_{ce})=\frac{\underline{a}_{VD}}{2}$ \newline

$\underline{z}_{inD} (=\underline{z}_{id}) =\frac{\underline{u}_{id}}{\underline{i}_{in1}} = 2\cdot r_{be}$
\end{sectionbox}

+ 35
- 0
ELK2_FS/thema4_linearer_OPV.tex View File

@@ -0,0 +1,35 @@
% ============================================================================================
\section{Lineare OPV-Schaltungen, Gegengekoppelte Strukturen}
% ============================================================================================

\begin{sectionbox}
\subsection{Operationsverstärker}
% Differenzverstärkung %
$A_{VD}(=V_{UD})=\frac{U_{OUT}}{U_{ID}}(typ.>100k)>>1$ \newline
% GLeichtaktverstärkung %
$A_{VC}=\frac{U_{OUT}}{U_{CM}} \approx 0$ \newline
% Common Mode Rejection Ratio %
$CMMR=\frac{A_{VD}}{A_{VC}}>>1$ \quad\
$CMMR/dB=20\cdot log(\frac{A_{VD}}{A_{VC}})$

% Frequenzgang %
$\underline{V}_{ud}(f)=\frac{V_{UD}}{\cancel{1}+\frac{j\cdot f}{f_1}}$ \newline
$f_1(=f_{1,3dB})=\frac{f_T(=GBW)}{V_{ud}}$

\subsection{Standardstruktur}
\begin{center}
\includegraphics[width = 0.5\columnwidth]{img_02_01_Standardstruktur}
\end{center}
$\underline{u}_2 = \underline{a}_V^+ \cdot \underline{u}_1^+ + \underline{a}_V^- \cdot \underline{u}_1^-$ \newline

$\underline{a}_V^+ = \frac{\underline{V}_{ud}}{1+\underline{k}\cdot\underline{V}_{ud}}$ \quad\
$\underline{a}_V^- = -\frac{\underline{V}_{ud}\cdot(1-\underline{k})}{1+\underline{k}\cdot\underline{V}_{ud}}$\newline

% TODO: Nicht invertierender / invertierender Betrieb %
Betriebsfrequenzgrenze \emph{der Schaltung}: $f_g \approx \frac{GBW}{1/|\underline{k}(f_g)|}$

\subsection{Standard Linearverstärker}

\subsection{Stabilität}

\end{sectionbox}

+ 7
- 0
ELK2_FS/thema5_nichtlinearer_OPV.tex View File

@@ -0,0 +1,7 @@
% ============================================================================================
\section{Nichtlineare OPV-Schaltungen}
\subsection{test}
\subsubsection{test2}


% ============================================================================================

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