dsdshorthand.sty

%%
%%  `dsdshorthand.sty' -- Macros for everyday use, generally to improve
%%  code readability with a consistent shorthand.  Macro names are
%%  usually based more on the appearance of the symbol rather than the
%%  meaning (e.g. \Z for \mathbb{Z}, instead of \Integers, or \cA for
%%  \mathcal{A}).  Choices are geared towards mathematical physics,
%%  sort of.
%%
%%  Author: David Simmons-Duffin <davidsd@gmail.com>
%%  Last modified August 18, 2017
%%
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{dsdshorthand}[2017/08/18 David Simmons-Duffin's macros]
\RequirePackage{amsmath, amssymb, amsthm}
\RequirePackage{ifthen}  % LaTeX logic

%%%%%%% Not Required, but Oft-Used Packages %%%%%%%
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{ifthen}
\usepackage{graphicx}   % \includegraphics
\usepackage{epstopdf}   % allow inclusion of eps files
\usepackage{bm}         % access to bold math fonts, via \bm
\usepackage{xspace}     % \xspace puts space where needed
\usepackage{mathrsfs}   % fancy script: \mathscr

\DeclareGraphicsRule{*}{mps}{*}{}  % not sure what this does, but it's
                                % necessary to make feynmp work correctly

%%%%%%% Argument-taking Macros, Size Control %%%%%%%
\newcommand   \pdr  [2] {\frac{\partial #1}{\partial #2}}
\newcommand   \rdr  [2] {\frac{d #1}{d #2}}
\newcommand   \lr  [3] {\left #1 #2 \right #3}
\newcommand   \p   [1] {\lr({#1})}
\newcommand   \tl  [1] {\widetilde{#1}}
\renewcommand \bar [1] {\overline{#1}}
\newcommand*  \pFq [5]
              {{}_{#1}F_{#2}\left(\genfrac..{0pt}{}{#3}{#4};#5\right)}
\renewcommand \hat [1] {\widehat{#1}}

%%%%%%% Notation Shortcuts %%%%%%%
\newcommand   \<   {\langle}
\renewcommand \>   {\rangle}
\renewcommand \.   {\cdot}
\newcommand   \x   {\times}
\newcommand   \oo  {\infty}
\newcommand   \aeq {\thickapprox}
\newcommand   \ptl {\partial}
\newcommand   \grad {\nabla}
\newcommand   \mto {\mapsto}
\newcommand   \half{\frac 1 2}
% derivatives with arrows
\newcommand   \lptl{\raise .8ex\hbox{$^\leftarrow$} \hspace{-9pt} \partial}
\newcommand   \lrptl{\raise .8ex\hbox{$^\leftrightarrow$} \hspace{-9pt} \partial}

%%%%%%% Greek %%%%%%%
\renewcommand \a  {\alpha}
\renewcommand \b  {\beta}
\newcommand   \g  {\gamma}
\newcommand   \de {\delta}
\newcommand   \De {\Delta}
\newcommand   \e  {\epsilon}
\renewcommand \l  {\lambda}
\renewcommand \L  {\Lambda}
\renewcommand \r  {\rho}
\newcommand   \f  {\phi}
\newcommand   \vf {\varphi}
\newcommand   \s  {\sigma}
\newcommand   \w  {\omega}
\renewcommand \O  {\Omega}
\renewcommand \th {\theta}
\newcommand   \ka {\kappa}
\newcommand   \z  {\zeta}

%%%%%%% Spaces and Fields %%%%%%%
\newcommand   \R  {\mathbb{R}}
\newcommand   \Z  {\mathbb{Z}}
\newcommand   \N  {\mathbb{N}}
\newcommand   \Q  {\mathbb{Q}}
\newcommand   \Qp {\mathbb{Q}_p}
\renewcommand \P  {\mathbb{P}}
\newcommand   \A  {\mathbb{A}}

%%%%%%% Multi-letter Functors/Functions %%%%%%%
% how many of these should be mathops?
\newcommand   \Ad    {\mathrm{Ad}}
\newcommand   \SU    {\mathrm{SU}}
\newcommand   \SO    {\mathrm{SO}}
\newcommand   \GL    {\mathrm{GL}}
\newcommand   \SL    {\mathrm{SL}}
\newcommand   \PSL   {\mathrm{PSL}}
\newcommand   \PGL   {\mathrm{PGL}}
\newcommand   \Sp    {\mathrm{Sp}}
\newcommand   \Spin  {\mathrm{Spin}}
\newcommand   \Span  {\mathrm{Span}}
\newcommand   \Aut   {\mathrm{Aut}}
\newcommand   \Res   {\mathop{\mathrm{Res}}}
\renewcommand \Re    {\mathop{\mathrm{Re}}}
\renewcommand \Im    {\mathop{\mathrm{Im}}}
\newcommand   \Tr    {\mathrm{Tr}}
\newcommand   \Pf    {\mathrm{Pf}}
\newcommand   \Ker   {\mathop{\mathrm{Ker}}}
\newcommand   \Coker {\mathop{\mathrm{Coker}}}
\newcommand   \Hom   {\mathrm{Hom}}
\newcommand   \Mor   {\mathrm{Mor}}
\newcommand   \Gal   {\mathrm{Gal}}
\newcommand   \Sym   {\mathrm{Sym}}
\newcommand   \codim {\mathop{\mathrm{codim}}}
\newcommand   \ind   {\mathop{\mathrm{ind}}}
\newcommand   \Vol   {\mathrm{Vol}}
\newcommand   \vol   {\mathrm{vol}}


%%%%%%% Single-letter Shortcuts %%%%%%%

%%%%%%% Bold Letters %%%%%%%
% some letters are commented out to not conflict with the usual TeX commands
%% lowercase
\newcommand   \ba {\mathbf{a}}
\newcommand   \bb {\mathbf{b}}
\newcommand   \bc {\mathbf{c}}
\newcommand   \bd {\mathbf{d}}
\newcommand   \be {\mathbf{e}}
%\newcommand   \bf {\mathbf{f}}
\newcommand   \bg {\mathbf{g}}
\newcommand   \bh {\mathbf{h}}
\newcommand   \bi {\mathbf{i}}
\newcommand   \bj {\mathbf{j}}
\newcommand   \bk {\mathbf{k}}
\newcommand   \bl {\mathbf{l}}
\newcommand   \bfm {\mathbf{m}}
\newcommand   \bn {\mathbf{n}}
\newcommand   \bo {\mathbf{o}}
\newcommand   \bp {\mathbf{p}}
\newcommand   \bq {\mathbf{q}}
\newcommand   \br {\mathbf{r}}
\newcommand   \bs {\mathbf{s}}
\newcommand   \bt {\mathbf{t}}
\newcommand   \bu {\mathbf{u}}
\newcommand   \bv {\mathbf{v}}
\newcommand   \bw {\mathbf{w}}
\newcommand   \bx {\mathbf{x}}
\newcommand   \by {\mathbf{y}}
\newcommand   \bz {\mathbf{z}}

%% Uppercase
\newcommand   \bA {\mathbf{A}}
\newcommand   \bB {\mathbf{B}}
\newcommand   \bC {\mathbf{C}}
\newcommand   \bD {\mathbf{D}}
\newcommand   \bE {\mathbf{E}}
\newcommand   \bF {\mathbf{F}}
\newcommand   \bG {\mathbf{G}}
\newcommand   \bH {\mathbf{H}}
\newcommand   \bI {\mathbf{I}}
\newcommand   \bJ {\mathbf{J}}
\newcommand   \bK {\mathbf{K}}
\newcommand   \bL {\mathbf{L}}
\newcommand   \bM {\mathbf{M}}
\newcommand   \bN {\mathbf{N}}
\newcommand   \bO {\mathbf{O}}
\newcommand   \bP {\mathbf{P}}
\newcommand   \bQ {\mathbf{Q}}
\newcommand   \bR {\mathbf{R}}
\newcommand   \bS {\mathbf{S}}
\newcommand   \bT {\mathbf{T}}
\newcommand   \bU {\mathbf{U}}
\newcommand   \bV {\mathbf{V}}
\newcommand   \bW {\mathbf{W}}
\newcommand   \bX {\mathbf{X}}
\newcommand   \bY {\mathbf{Y}}
\newcommand   \bZ {\mathbf{Z}}

% Special characters
\newcommand*\Bell{\ensuremath{\boldsymbol\ell}}

%%%%%%% Caligraphic Capitals %%%%%%%
\newcommand   \cA {\mathcal{A}}
\newcommand   \cB {\mathcal{B}}
\newcommand   \cC {\mathcal{C}}
\newcommand   \cD {\mathcal{D}}
\newcommand   \cE {\mathcal{E}}
\newcommand   \cF {\mathcal{F}}
\newcommand   \cG {\mathcal{G}}
\newcommand   \cH {\mathcal{H}}
\newcommand   \cI {\mathcal{I}}
\newcommand   \cJ {\mathcal{J}}
\newcommand   \cK {\mathcal{K}}
\newcommand   \cL {\mathcal{L}}
\newcommand   \cM {\mathcal{M}}
\newcommand   \cN {\mathcal{N}}
\newcommand   \cO {\mathcal{O}}
\newcommand   \cP {\mathcal{P}}
\newcommand   \cQ {\mathcal{Q}}
\newcommand   \cR {\mathcal{R}}
\newcommand   \cS {\mathcal{S}}
\newcommand   \cT {\mathcal{T}}
\newcommand   \cU {\mathcal{U}}
\newcommand   \cV {\mathcal{V}}
\newcommand   \cW {\mathcal{W}}
\newcommand   \cX {\mathcal{X}}
\newcommand   \cY {\mathcal{Y}}
\newcommand   \cZ {\mathcal{Z}}

%%%%%%% Unit Vectors %%%%%%%
\newcommand   \xhat {\hat{\bx}}
\newcommand   \yhat {\hat{\by}}
\newcommand   \zhat {\hat{\bz}}
\newcommand   \rhat {\hat{\br}}
\newcommand   \nhat {\hat{\bn}} 

%%%%%%% Equations %%%%%%%
\def\be#1\ee{\begin{align}#1\end{align}}
\newcommand \nn {\nonumber}

%%%%%%%% Theorem Types %%%%%%%%
% last arg means number by sections (e.g. Theorem 2.3)
% the second arg means share the same counter with 'theorem'