Merge branch 'dev'

src/core/math.sty

@@ -0,0 +1,95 @@
+% ┌                                                ┐
+% │                      Math                      │
+% └                                                ┘
+
+% BB shortcuts (for number spaces, etc)
+\newcommand{\A}{\mathbb{A}}
+\newcommand{\B}{\mathbb{B}}
+\newcommand{\C}{\mathbb{C}}
+\newcommand{\D}{\mathbb{D}}
+\newcommand{\E}{\mathbb{E}}
+\newcommand{\F}{\mathbb{F}}
+\newcommand{\G}{\mathbb{G}}
+\renewcommand{\H}{\mathbb{H}}
+\newcommand{\I}{\mathbb{I}}
+\newcommand{\J}{\mathbb{J}}
+\newcommand{\K}{\mathbb{K}}
+\renewcommand{\L}{\mathbb{L}}
+\newcommand{\M}{\mathbb{M}}
+\newcommand{\N}{\mathbb{N}}
+\renewcommand{\O}{\mathbb{O}}
+\renewcommand{\P}{\mathbb{P}}
+\newcommand{\Q}{\mathbb{Q}}
+\newcommand{\R}{\mathbb{R}}
+\renewcommand{\S}{\mathbb{S}}
+\newcommand{\T}{\mathbb{T}}
+\newcommand{\U}{\mathbb{U}}
+\newcommand{\V}{\mathbb{V}}
+\newcommand{\W}{\mathbb{W}}
+\newcommand{\X}{\mathbb{X}}
+\newcommand{\Y}{\mathbb{Y}}
+\newcommand{\Z}{\mathbb{Z}}
+
+% Caligraphic
+\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}}
+
+% other useful shortcuts
+\newcommand{\elementstack}[2]{\genfrac{}{}{0pt}{}{#1}{#2}}
+\newcommand{\8}{\infty}
+\newcommand{\cond}{\text{cond}}
+\newcommand{\argmin}[1]{\underset{#1}{\text{argmin}}}
+\newcommand{\dx}{\text{ d}}
+\newcommand{\floor}[1]{\left\lfloor #1 \right\rfloor}
+\newcommand{\ceil}[1]{\left\lceil #1 \right\rceil}
+\newcommand{\Leftrightarrowequiv}{\overset{\cdot}{\Leftrightarrow}}
+\newcommand{\Longleftrightarrowequiv}{\overset{\cdot}{\Longleftrightarrow}}
+\newcommand{\Rightarrowequiv}{\overset{\cdot}{\Rightarrow}}
+\newcommand{\Leftarrowequiv}{\overset{\cdot}{\Leftarrow}}
+\newcommand{\defAs}{\overset{\text{def}}{=}}
+\newcommand{\defEquiv}{\overset{\text{def}}{\Leftrightarrow}}
+\newcommand{\defImplies}{\overset{\text{def}}{\Rightarrow}}
+\newcommand{\diff}[1]{\frac{\mbox{d}}{\mbox{d}#1}}
+\newcommand{\diffn}[2]{\frac{\mbox{d}^{#2}}{\mbox{d}^{#2}#1}}
+\newcommand{\pardiff}[1]{\frac{\partial}{\partial #1}}
+\newcommand{\pardiffn}[2]{\frac{\partial^{#2}}{\partial^{#2} #1}}
+\newcommand{\divider}{\hspace{0.25em}|\hspace{0.25em}}
+\newcommand{\lcm}{\text{lcm}}
+\newcommand{\limit}[2]{\underset{#1 \rightarrow #2}{\lim}}
+\newcommand{\limni}{\limit{n}{\infty}}
+\newcommand{\limnz}{\limit{n}{0}}
+\newcommand{\limxz}{\limit{x_0}{0}}
+\newcommand{\limhz}{\limit{h}{0}}
+\newcommand{\liminfni}{\liminf_{n \rightarrow \infty}}
+\newcommand{\limsupni}{\limsup_{n \rightarrow \infty}}
+\newcommand{\sequence}[1]{(#1_n)_{n \geq 1}}
+\newcommand{\series}[2]{\sum_{k = 1}^{#2} #1_k}
+\newcommand{\elementstack}[2]{\genfrac{}{}{0pt}{}{#1}{#2}}
+
+\DeclareMathOperator\arctanh{arctanh}
+\DeclareMathOperator\arccosh{arccosh}
+\DeclareMathOperator\arcsinh{arcsinh}