$ % Simple macros / shorthands for LaTeX, % ... compatible with MathJax % ... loaded before 'mathjax.tex' % % Generics \newcommand{\mbb}[1]{\mathbb{#1}} \newcommand{\mrm}[1]{\mathrm{#1}} \newcommand{\mcal}[1]{\mathcal{#1}} \newcommand{\mscr}[1]{\mathscr{#1}} \newcommand{\mfrak}[1]{\mathfrak{#1}} \newcommand{\tup}[1]{\textup{#1}} \newcommand{\mop}[1]{\operatorname{#1}} % % Utils \newcommand{\idty}{\mathds{1}} \newcommand{\proj}[1]{\mop{proj_{\mathit{#1}}}} \newcommand{\textbox}[1]{\fbox{#1}} \newcommand{\rvec}[1]{\overrightarrow{#1}} \newcommand{\lvec}[1]{\overleftarrow{#1}} \newcommand{\sidenote}[1]{\textcolor{purple}{#1}} \newcommand{\mquote}[1]{\text{``$#1$''}} \newcommand{\thinmspace}{\mspace{\thinmuskip}} \newcommand{\moppower}[2]{\mop{ {#1}^{#2} }\!} % % Physics \newcommand{\DD}{\mscr{D}} \newcommand{\normorder}[1]{ \mspace{.2\thinmuskip}% {\mathopen {:}}% {\thinmspace #1\thinmspace}% {\mathclose {:}}% \mspace{.5\thinmuskip}% } % % Differential Geometry \newcommand{\hodgedual}{\mop{\star}} \newcommand{\cdd}{\mop{D}\!} \newcommand{\pdd}[1]{\partial_{#1}} \newcommand{\cdv}[1]{\mop{\nabla_{\!\mathnormal{#1}\!}}} \newcommand{\ldv}[1]{\mop{\mcal{L}_{\mathnormal{#1}\!}}} \newcommand{\ric}[1]{\mop{Ric}\pqty{#1}} \newcommand{\ad}{\mop{ad}} \newcommand{\pd}{\partial} \newcommand{\pdbar}{\bar{\partial}} % % Algebra \newcommand{\subsetnormal}{\mathrel{\triangleleft}} % % QED \newcommand{\qed}[1][]{\hfill\ensuremath{ % \square\mathrlap{_{\,#1}}% }} \newcommand{\qedfull}[1][]{\hfill\ensuremath{ % \blacksquare\mathrlap{_{\,#1}}% }} % MathJax supplementary macros, % ... as substitutes for LaTeX pkgs, % ... loaded after 'macros.tex' % % mathtools \newcommand{\abs}[1]{\left|#1\right|} \newcommand{\norm}[1]{\left\|#1\right\|} % % physics \newcommand{\pqty}[1]{\left(#1\right)} \newcommand{\dd}[1]{\operatorname{d} #1} \newcommand{\dv}[2]{\frac{\dd{#1}}{\dd{#2}}} \newcommand{\pdv}[2]{\frac{\partial{#1}}{\partial{#2}}} % % more & hacks \newcommand{\mathds}[1]{\mathbf{#1}} % when without dsfont \newcommand{\mathnormal}[1]{\mathit{#1}} % when without mathnormal $