Maximilian Keßler (via gitlab runner)
b7b926865c
Build branch master (efa4817) from kesslermaximilian/LatexPackages
264 lines
8.6 KiB
TeX
264 lines
8.6 KiB
TeX
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
% Copyright © 2022 Maximilian Keßler
|
|
%
|
|
% This work may be distributed and/or modified
|
|
%
|
|
% 1. under the LaTeX Project Public License and/or
|
|
% 2. under the GNU General Public License
|
|
%
|
|
% Distribution under conditions of the LaTeX Project Public License,
|
|
% requires either version 1.3 of this license or (at your option)
|
|
% any later version.
|
|
% The latest version of this license is in
|
|
% http://www.latex-project.org/lppl.txt
|
|
% and version 1.3 or later is part of all distributions of LaTeX
|
|
% version 2005/12/01 or later.
|
|
%
|
|
% This work has the LPPL maintenance status \`maintained'.
|
|
%
|
|
% The Current Maintainer of this work is Maximilian Keßler.
|
|
%
|
|
%
|
|
% Distribution under the GNU General Public License requires either
|
|
% version 3 or (at your opinion) any later version.
|
|
%
|
|
% This package has been generated by PyTeX, available at
|
|
% https://github.com/kesslermaximilian/PyTeX
|
|
% and built from source file 'mathop.pysty'.
|
|
% It is STRONGLY DISCOURAGED to edit this source file directly, since local
|
|
% changes will not be versioned by Git and overwritten by the next build. Always
|
|
% edit the source file and build the package again.
|
|
%
|
|
% Build details:
|
|
% PyTeX version: v1.2.0-31-gc9bb0e8 (commit c9bb0e8)
|
|
% Source code version: v2.9-8-gefa4817 (commit efa4817)
|
|
%
|
|
% This LaTeX package is free software and is dual-licensed
|
|
% under the LPPLv1.3c and the GPLv3 licenses.
|
|
% You may use it freely for your purposes.
|
|
% The latest version of the package sources can be obtained
|
|
% via GitLab under
|
|
% https://gitlab.com/latexci/packages/LatexPackages
|
|
% The latest version of the built packages can be obtained via GitLab under
|
|
% https://gitlab.com/latexci/packages/LatexPackagesBuild
|
|
% For further information see the urls above.
|
|
% Reportings of bugs, suggestions and improvements are welcome, see the README
|
|
% at the Git repository for further information.
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
|
\NeedsTeXFormat{LaTeX2e}
|
|
\ProvidesPackage{mkessler-mathop}[2022/02/16 - Math Operator Package]
|
|
|
|
|
|
%Provides some commonly used Operators used in the write-ups of my lecture notes
|
|
|
|
\RequirePackage{xkeyval}
|
|
|
|
\newif\ifmkessler@mathop@english\mkessler@mathop@englishtrue
|
|
\DeclareOptionX{german}{\mkessler@mathop@englishfalse}
|
|
\DeclareOptionX{ngerman}{\mkessler@mathop@englishfalse}
|
|
\DeclareOptionX{english}{\mkessler@mathop@englishtrue}
|
|
|
|
\DeclareOptionX*{\PackageWarning{mkessler-mathop}{Unknown '\CurrentOption'}}
|
|
\ProcessOptionsX*\relax
|
|
|
|
|
|
%%%%%Package dependencies
|
|
\RequirePackage{amsmath}
|
|
\RequirePackage{bbm}
|
|
\RequirePackage{mathtools}
|
|
|
|
%%%%Different types of operator wrappers:
|
|
|
|
% For simple math operators that are just to be printed as their name
|
|
\newcommand\DeclareSimpleMathOperator[1]{
|
|
\expandafter\providecommand\csname #1\endcsname{\operatorname{#1}}
|
|
}
|
|
|
|
%%%For distributions
|
|
%Introduce synonym for \operatorname
|
|
\newcommand\mkessler@mathop@distribution[1]{\operatorname{#1}}
|
|
%Easily declare new distributions
|
|
\newcommand\DeclareDistribution[1]{\expandafter\def\csname #1\endcsname{\mkessler@mathop@distribution{#1}}}
|
|
|
|
%%%%%%%%%%% Operators
|
|
%Basic commands
|
|
\DeclareSimpleMathOperator{id}
|
|
\DeclareSimpleMathOperator{im}
|
|
\DeclareSimpleMathOperator{Bild}
|
|
\DeclareSimpleMathOperator{dom}
|
|
\DeclareSimpleMathOperator{Span}
|
|
\DeclareSimpleMathOperator{Aut}
|
|
\DeclareMathOperator{\rhs}{RHS} %Right hand side of equation
|
|
\DeclareMathOperator{\lhs}{LHS} %Left hand side of equation
|
|
|
|
%%Provide \ggT \gcd \kgV \lcm for 'greatest common denominator' and 'least common multiple'
|
|
% \ggT und \gcd, as well as \kgV and \lcm are synonyms and language-aware, so that
|
|
% e.g. when the german language option is loaded, even
|
|
% \lcm would print 'kgV'
|
|
% The starred versions of the four commands will ignore the language option and print their
|
|
% exact names (without the *, of course)
|
|
\DeclareMathOperator{\@mkessler@mathop@ggT}{ggT}
|
|
\DeclareMathOperator{\@@mkessler@mathop@ggT}{\if@mkessler@mathop@english gcd\else ggT\fi}
|
|
\def\ggT{\@ifstar\@mkessler@mathop@ggT\@@mkessler@mathop@ggT}
|
|
|
|
\DeclareMathOperator{\@mkessler@mathop@gcd}{gcd}
|
|
\DeclareMathOperator{\@@mkessler@mathop@gcd}{\if@mkessler@mathop@english gcd\else ggT\fi}
|
|
\def\gcd{\@ifstar\@mkessler@mathop@gcd\@@mkessler@mathop@gcd}
|
|
|
|
\DeclareMathOperator{\@mkessler@mathop@kgV}{kgV}
|
|
\DeclareMathOperator{\@@mkessler@mathop@kgV}{\ifmkessler@mathop@english lcm\else kgV\fi}
|
|
\def\kgV{\@ifstar\@mkessler@mathop@kgV\@@mkessler@mathop@kgV}
|
|
|
|
\DeclareMathOperator{\@mkessler@mathop@lcm}{lcm}
|
|
\DeclareMathOperator{\@@mkessler@mathop@lcm}{\ifmkessler@mathop@english lcm\else kgV\fi}
|
|
\def\lcm{\@ifstar\@mkessler@mathop@lcm\@@mkessler@mathop@lcm}
|
|
|
|
%Complex numbers
|
|
\DeclareMathOperator{\mkessler@mathop@impart}{Im}
|
|
\renewcommand\Im\mkessler@mathop@impart
|
|
\DeclareMathOperator{\mkessler@mathop@repart}{Re}
|
|
\renewcommand\Re\mkessler@mathop@repart
|
|
|
|
%Linear Algebra
|
|
\DeclareSimpleMathOperator{Sym}
|
|
\DeclareSimpleMathOperator{supp}
|
|
\DeclareSimpleMathOperator{sgn}
|
|
\DeclareSimpleMathOperator{coker}
|
|
\DeclareSimpleMathOperator{rank}
|
|
\DeclareSimpleMathOperator{rk}
|
|
\DeclareSimpleMathOperator{Mat}
|
|
\DeclareSimpleMathOperator{ev}
|
|
\DeclareSimpleMathOperator{tr}
|
|
\DeclareSimpleMathOperator{GL}
|
|
\DeclareSimpleMathOperator{PGL}
|
|
|
|
%Algebra
|
|
\DeclareSimpleMathOperator{Quot}
|
|
\DeclareSimpleMathOperator{rad}
|
|
\DeclareSimpleMathOperator{Spec}
|
|
\DeclareSimpleMathOperator{Frac}
|
|
\DeclareSimpleMathOperator{Gal}
|
|
\DeclareSimpleMathOperator{Ext}
|
|
\DeclareSimpleMathOperator{Tor}
|
|
\DeclareSimpleMathOperator{MaxSpec}
|
|
\DeclareSimpleMathOperator{Sh}
|
|
\DeclareSimpleMathOperator{Proj}
|
|
\DeclareSimpleMathOperator{QCoh}
|
|
\DeclareSimpleMathOperator{Fun}
|
|
\DeclareMathOperator{\Nil}{\mathcal{N}il}
|
|
\DeclareMathOperator{\Ouv}{\mathcal{O}uv}
|
|
\DeclareMathOperator{\PreSh}{Pre-Sh}
|
|
\newcommand{\tensor}{\otimes} %Synonym for tensoring
|
|
|
|
%Analysis
|
|
\DeclareSimpleMathOperator{dx}
|
|
\DeclareSimpleMathOperator{dy}
|
|
\DeclareSimpleMathOperator{dz}
|
|
\DeclareSimpleMathOperator{dt}
|
|
|
|
%Sets
|
|
\DeclareSimpleMathOperator{conv}
|
|
\DeclareSimpleMathOperator{dist}
|
|
\DeclareSimpleMathOperator{diam}
|
|
|
|
%%Stochastic (Algorithmische Mathematik II)
|
|
\DeclareDistribution{Bin}
|
|
\DeclareDistribution{Ber}
|
|
\DeclareDistribution{Geo}
|
|
\DeclareDistribution{Poi}
|
|
\DeclareDistribution{Unif}
|
|
\DeclareDistribution{Var}
|
|
\DeclareDistribution{Cov}
|
|
|
|
%Topology
|
|
\DeclareSimpleMathOperator{pr}
|
|
\def\twedge{\vee} % Semantically correct macros for wedge product
|
|
\def\tsmash{\wedge} % Semantically correct macro for smash product
|
|
\DeclareSimpleMathOperator{sing}
|
|
\DeclareSimpleMathOperator{cell}
|
|
|
|
%Category Theory
|
|
\DeclareSimpleMathOperator{Ob}
|
|
\DeclareSimpleMathOperator{Hom}
|
|
\DeclareSimpleMathOperator{Mor}
|
|
\DeclareSimpleMathOperator{End}
|
|
\DeclareSimpleMathOperator{colim}
|
|
|
|
%Set theory
|
|
\DeclareSimpleMathOperator{card}
|
|
\DeclareSimpleMathOperator{Cd}
|
|
\DeclareSimpleMathOperator{Ord}
|
|
\DeclareSimpleMathOperator{otp}
|
|
\DeclareSimpleMathOperator{Card}
|
|
|
|
%%Galoiskohomologie
|
|
\DeclareSimpleMathOperator{Br}
|
|
\DeclareSimpleMathOperator{EXT}
|
|
\DeclareSimpleMathOperator{Ind}
|
|
\DeclareSimpleMathOperator{Char}
|
|
\DeclareSimpleMathOperator{res}
|
|
\DeclareSimpleMathOperator{inf}
|
|
\DeclareSimpleMathOperator{cov}
|
|
\newcommand{\del}{\partial} % Semantically correct operator for boundary maps
|
|
|
|
%% Algebraic geometry
|
|
\DeclareSimpleMathOperator{eq}
|
|
\DeclareSimpleMathOperator{Idem}
|
|
\DeclareSimpleMathOperator{Supp}
|
|
\DeclareSimpleMathOperator{Ann}
|
|
\DeclareSimpleMathOperator{OC}
|
|
\DeclareSimpleMathOperator{red}
|
|
\DeclareSimpleMathOperator{can}
|
|
\DeclareSimpleMathOperator{Pic}
|
|
|
|
\newcommand\leftadjoint\vdash
|
|
\newcommand\rightadjoint\dashv
|
|
|
|
% Characteristic function
|
|
\newcommand*{\cfun}{\ensuremath{\mathbbm{1}}}
|
|
\newcommand*{\One}{\cfun}
|
|
|
|
%% such that in set declarations
|
|
\newcommand{\suchthat}{\;\middle|\;}
|
|
|
|
|
|
%Paired Delimiters
|
|
\DeclarePairedDelimiter\ceil{\lceil}{\rceil}
|
|
\DeclarePairedDelimiter\floor{\lfloor}{\rfloor}
|
|
|
|
%Norm and absolute value
|
|
%Make them scaling by default and have \abs*{} as the non-scaling version of the command
|
|
\DeclarePairedDelimiter\abs{\lvert}{\rvert}
|
|
\let\oldabs\abs
|
|
\def\abs{\@ifstar{\oldabs}{\oldabs*}}
|
|
|
|
\DeclarePairedDelimiter\norm{\lVert}{\rVert}
|
|
\let\oldnorm\norm
|
|
\def\norm{\@ifstar{\oldnorm}{\oldnorm*}}
|
|
|
|
\DeclareMathOperator{\amalgprod}{\star}
|
|
|
|
|
|
\newcommand\op{\text{op}}
|
|
\newcommand\opposite{^{\op}}
|
|
|
|
\newcommand\ab{\text{ab}}
|
|
\newcommand\abelianization{^{\ab}}
|
|
|
|
|
|
%Taken from user egreg on
|
|
% https://tex.stackexchange.com/a/22255
|
|
\newcommand\frestriction[2]{{% we make the whole thing an ordinary symbol
|
|
\left.\kern-\nulldelimiterspace % automatically resize the bar with \right
|
|
#1 % the function
|
|
\vphantom{\big|} % pretend it's a little taller at normal size
|
|
\right|_{#2} % this is the delimiter
|
|
}}
|
|
|
|
|
|
\newcommand\directlimit{\varinjlim}
|
|
\newcommand\inverselimit{\varprojlim}
|
|
|
|
\DeclareMathOperator*{\freeproduct}{\raisebox{-0.5ex}{\scalebox{2}{$\ast$}}}
|
|
|