% Copyright 2018  李文威 (Wen-Wei Li).
% Permission is granted to copy, distribute and/or modify this
% document under the terms of the Creative Commons
% Attribution 4.0 International (CC BY 4.0)
% http://creativecommons.org/licenses/by/4.0/

% Some custom commands that I prefer
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{mycommand}[2018/02/20 Package for my own commands]

\newcommand\hmmax{0}	% default 3, Increase the capacity of fonts
\newcommand\bmmax{0}	% default 4, Increase the capacity of fonts...
\RequirePackage{bm}			% Bolface + other functionalities

\renewcommand*\arraystretch{1.5} % Increase the space in arrays

\RequirePackage{euscript}	% "Euler script" fonts

% Customize the list structures (using paralist)
\setdefaultitem{$\diamond$}{}{}{}
\renewcommand{\descriptionlabel}[1]{\hspace{\labelsep} $\vartriangleright$\enskip {\heiti #1} \;}
\renewcommand{\paradescriptionlabel}[1]{\normalfont \heiti #1 \enskip}

% Some commands that I am used to.
% Well-known algebraic structures
\newcommand{\N}{\ensuremath{\mathbb{N}}}
\newcommand{\Z}{\ensuremath{\mathbb{Z}}}
\newcommand{\Q}{\ensuremath{\mathbb{Q}}}
\newcommand{\R}{\ensuremath{\mathbb{R}}}
\newcommand{\CC}{\ensuremath{\mathbb{C}}}
\newcommand{\F}{\ensuremath{\mathbb{F}}}
\newcommand{\A}{\ensuremath{\mathbb{A}}}


% Algebra

\newcommand{\gr}{\operatorname{gr}}
\newcommand{\Ass}{\operatorname{Ass}}
\newcommand{\topwedge}{\ensuremath{\bigwedge^{\mathrm{max}}}}
\newcommand{\rank}{\operatorname{rk}}
\newcommand{\Aut}{\operatorname{Aut}}
\newcommand{\Isom}{\operatorname{Isom}}
\newcommand{\Hm}{\operatorname{H}}  % Homology/cohomology
\newcommand{\Tr}{\operatorname{Tr}}	% trace
\newcommand{\Nm}{\operatorname{N}}	% norm
\newcommand{\Ann}{\operatorname{Ann}}
\newcommand{\Resprod}{\ensuremath{{\prod}'}}
\newcommand{\Sym}{\operatorname{Sym}}
\newcommand{\ord}{\operatorname*{ord}}
\newcommand{\trdeg}{\operatorname{tr.deg}}
\newcommand{\Gras}{\ensuremath{\mathbf{G}}}	% Grassmannians
\newcommand{\WittV}{\operatorname{W}}	% Witt vectors

% Analysis
\newcommand{\dd}{\mathop{}\!\mathrm{d}}
\newcommand{\champ}[1]{\ensuremath{\frac{\partial}{\partial #1}}}
\newcommand{\norme}[1]{\ensuremath{\| #1 \|}}
\newcommand{\normeL}[2]{\ensuremath{\| #2 \|_{L^{#1}}}}
\newcommand{\normeLs}[3]{\ensuremath{\| #3 \|_{L^{#1}, #2}}}

% General things...
\newcommand{\ceil}[1]{\ensuremath{\lceil #1 \rceil}}
\newcommand{\lrangle}[1]{\ensuremath{\left\langle #1 \right\rangle}}
\newcommand{\mes}{\operatorname{vol}}
\newcommand{\sgn}{\operatorname{sgn}}
\newcommand{\Stab}{\operatorname{Stab}}
\newcommand{\pr}{\ensuremath{\mathbf{pr}}} % projection morphism

% Categorical Terms (in my view)
\newcommand{\Obj}{\operatorname{Ob}}	% Objects
\newcommand{\Mor}{\operatorname{Mor}}	% Morphisms
\newcommand{\cate}[1]{\ensuremath{\mathsf{#1}}}	% Font series for categories
\newcommand{\dcate}[1]{\ensuremath{\text{-}\mathsf{#1}}}	% Categories with a pre-dash
\newcommand{\cated}[1]{\ensuremath{\mathsf{#1}\text{-}}}	% Categories with a post-dash
\newcommand{\identity}{\ensuremath{\mathrm{id}}}
\newcommand{\prolim}{\ensuremath{\underleftarrow{\lim}}}
\newcommand{\indlim}{\ensuremath{\underrightarrow{\lim}}}
\newcommand{\Hom}{\operatorname{Hom}}
\newcommand{\iHom}{\ensuremath{\EuScript{H}\mathrm{om}}}
\newcommand{\End}{\operatorname{End}}
\newcommand{\rightiso}{\ensuremath{\stackrel{\sim}{\rightarrow}}}
\newcommand{\longrightiso}{\ensuremath{\stackrel{\sim}{\longrightarrow}}}
\newcommand{\leftiso}{\ensuremath{\stackrel{\sim}{\leftarrow}}}
\newcommand{\longleftiso}{\ensuremath{\stackrel{\sim}{\longleftarrow}}}
\newcommand{\utimes}[1]{\ensuremath{\overset{#1}{\times}}}
\newcommand{\dtimes}[1]{\ensuremath{\underset{#1}{\times}}}
\newcommand{\dotimes}[1]{\ensuremath{\underset{#1}{\otimes}}}
\newcommand{\dsqcup}[1]{\ensuremath{\underset{#1}{\sqcup}}}
\newcommand{\munit}{\ensuremath{\mathbf{1}}} % unit in a monoidal category
\newcommand{\Yinjlim}{\ensuremath{\text{\textquotedblleft}\varinjlim\text{\textquotedblright}}} % injective limit in the Yoneda category
\newcommand{\Yprojlim}{\ensuremath{\text{\textquotedblleft}\varprojlim\text{\textquotedblright}}} % projective limit in the Yoneda category

% Homological Algebra
\newcommand{\Ker}{\operatorname{ker}}
\newcommand{\Coker}{\operatorname{coker}}
\newcommand{\Image}{\operatorname{im}}
\newcommand{\Coim}{\operatorname{coim}}
\newcommand{\Ext}{\operatorname{Ext}}
\newcommand{\Tor}{\operatorname{Tor}}
\newcommand{\otimesL}{\ensuremath{\overset{\mathrm{L}}{\otimes}}}

% Geometry
\newcommand{\Der}{\operatorname{Der}}
\newcommand{\Lie}{\operatorname{Lie}}
\newcommand{\Ad}{\operatorname{Ad}}
\newcommand{\ad}{\operatorname{ad}}
\newcommand{\Frob}{\operatorname{Fr}}
\newcommand{\Spec}{\operatorname{Spec}}
\newcommand{\MaxSpec}{\operatorname{MaxSpec}}
\newcommand{\PP}{\ensuremath{\mathbb{P}}}
\newcommand{\mult}{\operatorname{mult}}
\newcommand{\divisor}{\operatorname{div}}
\newcommand{\Gm}{\ensuremath{\mathbb{G}_\mathrm{m}}}
\newcommand{\Ga}{\ensuremath{\mathbb{G}_\mathrm{a}}}
\newcommand{\Pic}{\operatorname{Pic}}
\newcommand{\Supp}{\operatorname{Supp}}
\newcommand{\Res}{\operatorname{Res}}

% Groups
\newcommand{\Gal}{\operatorname{Gal}}
\newcommand{\GL}{\operatorname{GL}}
\newcommand{\SO}{\operatorname{SO}}
\newcommand{\Or}{\operatorname{O}}
\newcommand{\GSpin}{\operatorname{GSpin}}
\newcommand{\Spin}{\operatorname{Spin}}
\newcommand{\UU}{\operatorname{U}}
\newcommand{\SU}{\operatorname{SU}}
\newcommand{\PGL}{\operatorname{PGL}}
\newcommand{\PSL}{\operatorname{PSL}}
\newcommand{\SL}{\operatorname{SL}}
\newcommand{\Sp}{\operatorname{Sp}}
\newcommand{\GSp}{\operatorname{GSp}}
\newcommand{\PSp}{\operatorname{PSp}}
\newcommand{\gl}{\ensuremath{\mathfrak{gl}}}
\newcommand{\sli}{\ensuremath{\mathfrak{sl}}}
\newcommand{\so}{\ensuremath{\mathfrak{so}}}
\newcommand{\spin}{\ensuremath{\mathfrak{spin}}}
\newcommand{\syp}{\ensuremath{\mathfrak{sp}}}
\newcommand{\Ind}{\operatorname{Ind}}