Maximilian Keßler (via gitlab runner)
75bf09228d
Build branch master (8583c50) from kesslermaximilian/LatexPackages
271 lines
8.7 KiB
TeX
271 lines
8.7 KiB
TeX
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Copyright © 2022 Maximilian Keßler
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%
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% This work may be distributed and/or modified
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%
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% 1. under the LaTeX Project Public License and/or
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% 2. under the GNU General Public License
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%
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% Distribution under conditions of the LaTeX Project Public License,
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% requires either version 1.3 of this license or (at your option)
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% any later version.
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% The latest version of this license is in
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% http://www.latex-project.org/lppl.txt
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% and version 1.3 or later is part of all distributions of LaTeX
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% version 2005/12/01 or later.
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%
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% This work has the LPPL maintenance status \`maintained'.
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%
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% The Current Maintainer of this work is Maximilian Keßler.
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%
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%
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% Distribution under the GNU General Public License requires either
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% version 3 or (at your opinion) any later version.
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%
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% This package has been generated by PyTeX, available at
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% https://github.com/kesslermaximilian/PyTeX
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% and built from source file 'mathop.pysty'.
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% It is STRONGLY DISCOURAGED to edit this source file directly, since local
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% changes will not be versioned by Git and overwritten by the next build. Always
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% edit the source file and build the package again.
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%
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% Build details:
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% PyTeX version: v1.2.0-31-gc9bb0e8 (commit c9bb0e8)
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% Source code version: v2.9-12-g8583c50 (commit 8583c50)
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%
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% This LaTeX package is free software and is dual-licensed
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% under the LPPLv1.3c and the GPLv3 licenses.
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% You may use it freely for your purposes.
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% The latest version of the package sources can be obtained
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% via GitLab under
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% https://gitlab.com/latexci/packages/LatexPackages
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% The latest version of the built packages can be obtained via GitLab under
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% https://gitlab.com/latexci/packages/LatexPackagesBuild
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% For further information see the urls above.
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% Reportings of bugs, suggestions and improvements are welcome, see the README
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% at the Git repository for further information.
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\NeedsTeXFormat{LaTeX2e}
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\ProvidesPackage{mkessler-mathop}[2022/04/24 - Math Operator Package]
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%Provides some commonly used Operators used in the write-ups of my lecture notes
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\RequirePackage{xkeyval}
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\newif\ifmkessler@mathop@english\mkessler@mathop@englishtrue
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\DeclareOptionX{german}{\mkessler@mathop@englishfalse}
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\DeclareOptionX{ngerman}{\mkessler@mathop@englishfalse}
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\DeclareOptionX{english}{\mkessler@mathop@englishtrue}
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\DeclareOptionX*{\PackageWarning{mkessler-mathop}{Unknown '\CurrentOption'}}
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\ProcessOptionsX*\relax
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%%%%%Package dependencies
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\RequirePackage{amsmath}
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\RequirePackage{bbm}
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\RequirePackage{mathtools}
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%%%%Different types of operator wrappers:
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% For simple math operators that are just to be printed as their name
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\newcommand\DeclareSimpleMathOperator[1]{
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\expandafter\providecommand\csname #1\endcsname{\operatorname{#1}}
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}
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%%%For distributions
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%Introduce synonym for \operatorname
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\newcommand\mkessler@mathop@distribution[1]{\operatorname{#1}}
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%Easily declare new distributions
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\newcommand\DeclareDistribution[1]{\expandafter\def\csname #1\endcsname{\mkessler@mathop@distribution{#1}}}
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%%%%%%%%%%% Operators
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%Basic commands
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\DeclareSimpleMathOperator{id}
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\DeclareSimpleMathOperator{im}
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\DeclareSimpleMathOperator{Bild}
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\DeclareSimpleMathOperator{dom}
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\DeclareSimpleMathOperator{Span}
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\DeclareSimpleMathOperator{Aut}
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\DeclareMathOperator{\rhs}{RHS} %Right hand side of equation
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\DeclareMathOperator{\lhs}{LHS} %Left hand side of equation
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%%Provide \ggT \gcd \kgV \lcm for 'greatest common denominator' and 'least common multiple'
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% \ggT und \gcd, as well as \kgV and \lcm are synonyms and language-aware, so that
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% e.g. when the german language option is loaded, even
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% \lcm would print 'kgV'
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% The starred versions of the four commands will ignore the language option and print their
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% exact names (without the *, of course)
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\DeclareMathOperator{\@mkessler@mathop@ggT}{ggT}
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\DeclareMathOperator{\@@mkessler@mathop@ggT}{\ifmkessler@mathop@english gcd\else ggT\fi}
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\def\ggT{\@ifstar\@mkessler@mathop@ggT\@@mkessler@mathop@ggT}
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\DeclareMathOperator{\@mkessler@mathop@gcd}{gcd}
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\DeclareMathOperator{\@@mkessler@mathop@gcd}{\ifmkessler@mathop@english gcd\else ggT\fi}
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\def\gcd{\@ifstar\@mkessler@mathop@gcd\@@mkessler@mathop@gcd}
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\DeclareMathOperator{\@mkessler@mathop@kgV}{kgV}
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\DeclareMathOperator{\@@mkessler@mathop@kgV}{\ifmkessler@mathop@english lcm\else kgV\fi}
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\def\kgV{\@ifstar\@mkessler@mathop@kgV\@@mkessler@mathop@kgV}
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\DeclareMathOperator{\@mkessler@mathop@lcm}{lcm}
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\DeclareMathOperator{\@@mkessler@mathop@lcm}{\ifmkessler@mathop@english lcm\else kgV\fi}
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\def\lcm{\@ifstar\@mkessler@mathop@lcm\@@mkessler@mathop@lcm}
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%Complex numbers
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\DeclareMathOperator{\mkessler@mathop@impart}{Im}
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\renewcommand\Im\mkessler@mathop@impart
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\DeclareMathOperator{\mkessler@mathop@repart}{Re}
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\renewcommand\Re\mkessler@mathop@repart
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%Linear Algebra
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\DeclareSimpleMathOperator{Sym}
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\DeclareSimpleMathOperator{supp}
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\DeclareSimpleMathOperator{sgn}
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\DeclareSimpleMathOperator{coker}
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\DeclareSimpleMathOperator{rank}
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\DeclareSimpleMathOperator{rk}
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\DeclareSimpleMathOperator{Mat}
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\DeclareSimpleMathOperator{ev}
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\DeclareSimpleMathOperator{tr}
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\DeclareSimpleMathOperator{GL}
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\DeclareSimpleMathOperator{PGL}
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%Algebra
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\DeclareSimpleMathOperator{Quot}
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\DeclareSimpleMathOperator{rad}
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\DeclareSimpleMathOperator{Spec}
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\DeclareSimpleMathOperator{Frac}
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\DeclareSimpleMathOperator{Gal}
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\DeclareSimpleMathOperator{Ext}
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\DeclareSimpleMathOperator{Tor}
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\DeclareSimpleMathOperator{MaxSpec}
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\DeclareSimpleMathOperator{Sh}
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\DeclareSimpleMathOperator{Proj}
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\DeclareSimpleMathOperator{QCoh}
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\DeclareSimpleMathOperator{Fun}
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\DeclareSimpleMathOperator{ord}
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\DeclareMathOperator{\Nil}{\mathcal{N}il}
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\DeclareMathOperator{\Ouv}{\mathcal{O}uv}
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\DeclareMathOperator{\PreSh}{Pre-Sh}
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\newcommand{\tensor}{\otimes} %Synonym for tensoring
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%Analysis
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\DeclareSimpleMathOperator{dx}
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\DeclareSimpleMathOperator{dy}
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\DeclareSimpleMathOperator{dz}
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\DeclareSimpleMathOperator{dt}
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%Sets
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\DeclareSimpleMathOperator{conv}
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\DeclareSimpleMathOperator{dist}
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\DeclareSimpleMathOperator{diam}
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%%Stochastic (Algorithmische Mathematik II)
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\DeclareDistribution{Bin}
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\DeclareDistribution{Ber}
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\DeclareDistribution{Geo}
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\DeclareDistribution{Poi}
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\DeclareDistribution{Unif}
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\DeclareDistribution{Var}
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\DeclareDistribution{Cov}
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%Topology
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\DeclareSimpleMathOperator{pr}
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\def\twedge{\vee} % Semantically correct macros for wedge product
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\def\tsmash{\wedge} % Semantically correct macro for smash product
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\DeclareSimpleMathOperator{sing}
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\DeclareSimpleMathOperator{cell}
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%Category Theory
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\DeclareSimpleMathOperator{Ob}
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\DeclareSimpleMathOperator{Hom}
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\DeclareSimpleMathOperator{Mor}
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\DeclareSimpleMathOperator{End}
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\DeclareSimpleMathOperator{colim}
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%Set theory
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\DeclareSimpleMathOperator{card}
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\DeclareSimpleMathOperator{Cd}
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\DeclareSimpleMathOperator{Ord}
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\DeclareSimpleMathOperator{otp}
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\DeclareSimpleMathOperator{Card}
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%%Galoiskohomologie
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\DeclareSimpleMathOperator{Br}
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\DeclareSimpleMathOperator{EXT}
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\DeclareSimpleMathOperator{Ind}
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\DeclareSimpleMathOperator{Char}
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\DeclareSimpleMathOperator{res}
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\DeclareSimpleMathOperator{inf}
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\DeclareSimpleMathOperator{cov}
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\newcommand{\del}{\partial} % Semantically correct operator for boundary maps
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%% Algebraic geometry
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\DeclareSimpleMathOperator{eq}
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\DeclareSimpleMathOperator{Idem}
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\DeclareSimpleMathOperator{Supp}
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\DeclareSimpleMathOperator{Ann}
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\DeclareSimpleMathOperator{OC}
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\DeclareSimpleMathOperator{red}
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\DeclareSimpleMathOperator{can}
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\DeclareSimpleMathOperator{Pic}
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\newcommand\leftadjoint\vdash
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\newcommand\rightadjoint\dashv
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% Characteristic function
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\newcommand*{\cfun}{\ensuremath{\mathbbm{1}}}
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\newcommand*{\One}{\cfun}
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%% such that in set declarations
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\newcommand{\suchthat}{\;\middle|\;}
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%Paired Delimiters
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\DeclarePairedDelimiter\ceil{\lceil}{\rceil}
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\DeclarePairedDelimiter\floor{\lfloor}{\rfloor}
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%Norm and absolute value
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%Make them scaling by default and have \abs*{} as the non-scaling version of the command
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\DeclarePairedDelimiter\abs{\lvert}{\rvert}
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\let\oldabs\abs
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\def\abs{\@ifstar{\oldabs}{\oldabs*}}
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\DeclarePairedDelimiter\norm{\lVert}{\rVert}
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\let\oldnorm\norm
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\def\norm{\@ifstar{\oldnorm}{\oldnorm*}}
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\DeclareMathOperator{\amalgprod}{\star}
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\newcommand\op{\text{op}}
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\newcommand\opposite{^{\op}}
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\newcommand\ab{\text{ab}}
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\newcommand\abelianization{^{\ab}}
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\NewDocumentCommand\set{m}
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{
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\left\{ #1 \right\}
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}
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%Taken from user egreg on
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% https://tex.stackexchange.com/a/22255
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\newcommand\frestriction[2]{{% we make the whole thing an ordinary symbol
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\left.\kern-\nulldelimiterspace % automatically resize the bar with \right
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#1 % the function
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\vphantom{\big|} % pretend it's a little taller at normal size
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\right|_{#2} % this is the delimiter
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}}
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\newcommand\directlimit{\varinjlim}
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\newcommand\inverselimit{\varprojlim}
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\DeclareMathOperator*{\freeproduct}{\raisebox{-0.5ex}{\scalebox{2}{$\ast$}}}
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