%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Required packages and command changes % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % required base packages % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % language and encoding \RequirePackage[utf8]{inputenc} \RequirePackage[T1]{fontenc} \RequirePackage[ngerman]{babel} % BibLaTeX \RequirePackage[hyperref,style=authoryear]{biblatex} % math packages \RequirePackage{amsmath} % general math \RequirePackage{amsthm} % theorems \RequirePackage{amssymb} % math symbols \RequirePackage{mathtools} % coloneqq: nice ligatures of := and =: \RequirePackage{stmaryrd} % lightning symbol % other packages \RequirePackage{enumerate} % for alphanumeric enumeration: (i), (ii), ... \RequirePackage{csquotes} % language dependent correct quote signs \RequirePackage[parfill]{parskip} % use sans-serif font Computer Modern Bright \RequirePackage{cmbright} % sans-serif fonts looking cleaner \RequirePackage[lm]{sfmath} % bold math symbols in Latin Modern \DeclareRobustCommand{\sm@ller}{% \dimen@\f@size\p@ \ifdim \dimen@ > 12\p@ 4 \dimen@=0.83333\dimen@ \else \advance \dimen@ -2\p@ \fi \math@fontsfalse \fontsize{\the\dimen@}\z@ \selectfont } \newcommand{\textc}[1]{{\sm@ller\uppercase{#1}}} % load late \RequirePackage{hyperref} % hyperref package for refs \hypersetup{ pdftitle={ tbd % TODO }, pdfsubject={Skript zum Vortrag im Proseminar Algebra}, pdfauthor={Niklas Birk}, pdfkeywords={mathematics, calculus, analysis, linear algebra, ordinary differential equations, lecture notes, university} } \DeclareTextFontCommand{\emph}{\boldmath\bfseries} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % new commands and math operatos % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % common set symbols \newcommand{\NN}{\mathbb{N}} \newcommand{\RR}{\mathbb{R}} \newcommand{\CC}{\mathbb{C}} % common symbols \renewcommand{\i}{\mathrm{i}} \newcommand{\e}{\mathrm{e}} \renewcommand{\d}{\mathrm{d}} \renewcommand{\Re}{\mathrm{Re}\,} \renewcommand{\Im}{\mathrm{Im}\,} \DeclareMathOperator{\diag}{diag} \renewcommand{\vec}[1]{\mathfrak{#1}} % use the more common variants of greek letters \renewcommand{\phi}{\varphi} \renewcommand{\epsilon}{\varepsilon} % symbols for differentiation and integral \newcommand{\dx}[1][x]{\ \d #1} % differential \newcommand{\dfdx}[2]{\frac{\d #1}{\d #2}} % 1st derivative \newcommand{\ddfdx}[3]{\frac{\d^{#3} #1}{\d #2^{#3}}} % nth derivative % sets of the form {...; ...} \newcommand{\set}[2]{\left\lbrace #1\ \middle|\ #2 \right\rbrace} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % theorems, definitions, etc. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % style for definitions, unnumbered theorems: "Definition ([additional name]) \newline" \newtheoremstyle{break*}{}{}{\itshape}{}{\bfseries}{}{\newline}{\thmname{#1}~\thmnote{(#3)}} \theoremstyle{break*} \newtheorem*{definition}{Definition} % style for theorems, lemmata, propositions, corollary: " Theorem ([additional name]) \newline" \newtheoremstyle{break}{}{}{\itshape}{}{\bfseries}{}{\newline}{\thmname{#1}~\thmnumber{#2}~\thmnote{(#3)}} \theoremstyle{break} \newtheorem{theorem}{Satz}[subsection] \newtheorem{lemma}[theorem]{Lemma} \newtheorem{corollary}[theorem]{Folgerung} % style for examples: "Beispiel:" \newtheoremstyle{nobreak*}{}{}{\normalfont}{}{\bfseries}{}{ }{} \theoremstyle{nobreak*} \newtheorem*{example*}{Beispiel:} % proofs with bold name and qed at end \renewenvironment{proof}[1][\proofname]{\textbf{#1.} }{\nobreak\hfill\ensuremath{\blacksquare}}