% vim: set spelllang=de,en:
% ----------------------------------------------
% this package should provide a standard set of packages
% and commands that are usually useful when writing
% mathematical texts
% options
% -------
% \renewcommand{\bibfile}{<your bibliography file>}
% standard is bibliography.bib
% tikz
% also loads tikz
% graphicx OR pictures
% also loads package graphicx (for picture handling)
% pdflatex
% defines everything necessary to use neo2 possibilities with pdflatex
% german
% makes the names of environments german
% otherwise they are in english
% scriptLetters
% loads the package mathrsfs that enables you to write curly letters as Sigma-Algebras
% this is done via the command \scr
% ----------------------------------------------
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{stdmath}[2017/10/17 stdmath package]
% optional:
\newif\ifopt@german
\opt@germanfalse % Standard
\DeclareOption{german}{\opt@germantrue}
\newif\ifopt@pics
\opt@picsfalse
\DeclareOption{graphicx}{\opt@picstrue}
\DeclareOption{pictures}{\opt@picstrue}
\newif\ifopt@tikz
\opt@tikzfalse
\DeclareOption{tikz}{\opt@tikztrue}
\newif\ifopt@script
\opt@scriptfalse
\DeclareOption{scriptLetters}{\opt@scripttrue}
\ProcessOptions\relax
\ifopt@pics\RequirePackage{graphicx}\fi
\ifopt@tikz\RequirePackage{tikz}\RequirePackage{tikz-cd}\fi
\ifopt@script\RequirePackage{mathrsfs}\newcommand{\scr}[1]{\mathscr{#1}}\fi % for script A (sigma-Algebra-A)
% ---------
% Packages
% ---------
% ---------------------------------------------------
% this is a UTF8-symbol to LaTeX-formula-converting
% ---------------------------------------------------
\RequirePackage{.maindir/tex/header/specialChars}
% maybe that works one day:
% \RequirePackage{polyglossia}
% \ifopt@german{\setdefaultlanguage{german}}\else{\setdefaultlanguage{english}}\fi
\RequirePackage[\ifopt@german ngerman \else english \fi]{babel}
\RequirePackage{amsmath, amsfonts}
\RequirePackage{aligned-overset} % for nicely aligned text over relation symbols
% with \overset{\text{Definition}}&{=} instead of &\stackrel{\text{Definition}}=
\RequirePackage{mathtools} % for := (defined as)
\RequirePackage{amsthm} % for theorems environments
\RequirePackage{enumerate} % for different kind of numbering in enumerations
% bibliography
\newcommand{\bibfile}{.maindir/tex/bibliography.bib}
\RequirePackage{csquotes}
\RequirePackage[backend=biber,
style=alphabetic,
backref=true,
autocite=inline,
sortlocale=de_DE.UTF-8,
% sortlocale=en_GB,
sorting=nty]{biblatex}
\addbibresource{\bibfile}
\AtEndDocument{\printbibliography}
% to allow links to break over lines at hyphens
% must be loaded before hyperref because hyperref loads package url
\PassOptionsToPackage{hyphens}{url}
\RequirePackage
[
% colorlinks=true,
% linkcolor=black,
% citecolor=black,
% filecolor=black,
% %pagecolor=black,
% urlcolor=black,
% bookmarks=true,
% bookmarksopen=true,
% bookmarksopenlevel=3,
% plainpages=false,
% pdfpagelabels=true
pdfencoding=auto
]{hyperref}
%\parindent0.0em % = Einrueckungsweite des ersten Satzes eines Absatzes
% ---------------------------------------------------------------
% Custom commands, rougly grouped
% ---------------------------------------------------------------
% ----------------
% math operators
% ----------------
\DeclareMathOperator{\id}{id} % identity map
\DeclareMathOperator{\Id}{I} % identity operator/ matrix
\DeclareMathOperator{\Lin}{Lin} % Linear span
\DeclareMathOperator{\supp}{supp} % support
\DeclareMathOperator{\GL}{GL} % general linear group
%TODO: bin ir unsicher, ob das nicht kursiv geschriebn werden soll
\DeclareMathOperator{\dom}{D} % domain
\DeclareMathOperator{\grad}{grad} % gradient
\DeclareMathOperator{\Rang}{Rang} % Rang einer Matrix
\DeclareMathOperator{\sign}{sign} % signum (einer Permutation)
% \newcommand{\card}[1]{\abs{#1}} % cardinality
\DeclareMathOperator{\gr}{gr} % graph of a function f:A ⟶ B as a subset of A × B
% -----------
% constants
% -----------
% Zahlmengen
\newcommand{\Z}{\mathbb{Z}} % integers
\newcommand{\N}{\mathbb{N}} % natural numbers
\newcommand{\Q}{\mathbb{Q}} % rationals
\newcommand{\R}{\mathbb{R}} % reals
% \newcommand{\C}{\mathbb{C}} % complex numbers % does not work, is already defined
\newcommand{\K}{\mathbb{K}} % a field
\newcommand{\im}{\ensuremath{\mathrm{i}}} % imaginary number sqrt(-1)
\newcommand{\chFct}{χ} % characteristic function of a set
\newcommand{\kro}{\delta} % Kronecker-Symbol
% ---------
% Symbols
% ---------
\newcommand{\definedas}{\coloneqq} % left of this is defined to be the thing on the right
\newcommand{\define}{\eqqcolon} % same other way around
% ---------------------
% analysis & topology
% ---------------------
\newcommand{\abs}[1]{\left\lvert#1\right\rvert} % absolute value
\newcommand{\norm}[1]{\left\lVert#1\right\rVert} % norm
\newcommand{\normiii}[1]{{\left\vert\kern-0.25ex\left\vert\kern-0.25ex\left\vert #1
\right\vert\kern-0.25ex\right\vert\kern-0.25ex\right\vert}}
% from http://tex.stackexchange.com/questions/54385/spacing-between-triple-vertical-lines % norm with 3 lines
\newcommand{\rest}[2]{\left. #1 \right\vert_{#2}} % restriction of a map #1 to the domain #2
\newcommand{\scaProd}[1]{\left\langle #1 \right\rangle} % scalar product
\newcommand{\conj}[1]{#1^{*}} % (complex) conjugation
\newcommand{\D}{\ensuremath{d}} % d in \D x \D z ... at integrals
% \newcommand{\D}{\ensuremath{\mathrm{d}}} %
\newcommand{\cl}[1]{\overline{#1}} % closure
% ------------
% set theory
% ------------
\newcommand{\setDef}[2]{\left\{#1
\,\middle\vert\, #2\right\}} % a typical set definition: #1 is the thing in the set #2 the condition on the variables {#1 | #2}
\newcommand{\Union}{\bigcup} % Summation-like set union
\newcommand{\Disunion}{\bigsqcup} % Summation-like disjoint set union
\newcommand{\Isect}{\bigcap} % Summation-like set intersection
\newcommand{\Dsum}{\bigoplus} % Summation-like direct sum
% ---------
% algebra
% ---------
\newcommand{\Tens}{\bigotimes} % Summation-like tensor product
\newcommand{\normal}{\vartriangleleft} % normal subgroup
% ----------------
% Typografisches
% ----------------
\newcommand{\TODO}[1]{\marginpar{TODO (#1)}} % TODOs
\newcommand{\imp}[1]{\emph{#1}} % important
\newcommand{\newTerm}[1]{\emph{#1}} % newly introduced
% alternative: do nothing or \ul (underline)
% ----------------------------------------------------
% (Theorem) environments
% ----------------------------------------------------
\newtheorem {theorem} {\ifopt@german Satz \else Theorem \fi} [section]
% \newtheorem {theorem} {Satz} [section]
% das "`[theorem] "` bewirkt, dass es eine durchgehende
% Nummerierung dieser environments gibt und nicht jede
% Art seine eigene Nummerierung hat
% Für Lemmas dieses environment:
\newtheorem {lemma} [theorem] {Lemma}
% Für Folgerungen/ Korollare dieses environment
\newtheorem {corollary} [theorem] {\ifopt@german Korollar \else Corollary \fi}
% Definitionen sehen dann anders aus, siehe
% http://tex.stackexchange.com/questions/38260/non-italic-text-in-theorems-definitions-examples
\theoremstyle {definition}
% Für Definitionen dieses environment
\newtheorem {definition} [theorem] {Definition}
% Für Bemerkungen dieses environment
\theoremstyle {remark}
\newtheorem* {note} {\ifopt@german Bemerkung \else Remark \fi}
% Beispiele kriegen eine andere Formatierung %ohne Nummerierung falls mit *:
\newtheorem{example} [theorem] {\ifopt@german Beispiel \else Example \fi}
% environment without any meaning
% just text that can be folded in editor
% the optional argument is ignored and can be used to give a summery of the folded content
\newenvironment{textfold}[1][]{}{}
\endinput