LaTeX Macros

macros.tex

% domains
\newcommand{\C}{\mathbb{C}}  % complex numbers
\newcommand{\N}{\mathbb{N}}  % natural numbers
\newcommand{\Q}{\mathbb{Q}}  % rational numbers
\newcommand{\R}{\mathbb{R}}  % real numbers
\newcommand{\Z}{\mathbb{Z}}  % integers
\newcommand{\Sym}{\mathbb{S}}  % symmetric, real matrices

% general macros
\newcommand{\abs}[1]{\left\lvert#1\right\rvert}  % absolute value
\newcommand{\Borel}{{\mathcal{B}}}  % Borel sets
\newcommand{\ceil}[1]{\left\lceil #1 \right\rceil}  % ceiling
\newcommand{\diff}{\mathop{}\!\mathrm{d}}  % differential
\newcommand{\deriv}[3][]{\frac{\mathrm{d}^{#1}#2}{\mathrm{d} #3^{#1}}}  % derivative
\newcommand{\floor}[1]{\left\lfloor #1 \right\rfloor}  % floor
\newcommand{\iid}{\stackrel{\mathrm{iid}}{\sim}}  % iid
\newcommand{\indep}{{\perp\!\!\!\perp}}  % independent
\newcommand{\inner}[2]{\left\langle#1,\ #2\right\rangle}  % inner product
\newcommand{\norm}[1]{\left\lVert#1\right\rVert}  % norm
\newcommand{\one}{\mathbf{1}}  % ones vector
\newcommand{\pderiv}[3][]{\frac{\partial^{#1}#2}{\partial #3^{#1}}}  % partial derivative
\newcommand{\powerset}{{\mathscr{P}}}  % powerset
\newcommand{\set}[1]{\left\{#1\right\}}  % set
\newcommand{\stodom}{\succeq_s}  % stochastic domination
\newcommand{\weakconv}{\rightsquigarrow}  % weak convergence
\newcommand{\zero}{\mathbf{0}}  % zeros vector

% operators
\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator*{\argmin}{arg\,min}
\DeclareMathOperator{\algebra}{\text{algebra}}
\DeclareMathOperator{\closure}{cl}  % closure
\DeclareMathOperator{\conv}{conv}  % convex hull
\DeclareMathOperator{\Cov}{Cov}  % covariance
\DeclareMathOperator{\diag}{diag}  % diagonal
\DeclareMathOperator{\dist}{dist}  % distance
\DeclareMathOperator{\dom}{dom}  % domain
\DeclareMathOperator{\E}{\mathbb{E}}  % expectation
\DeclareMathOperator{\epi}{epi}  % epigraph
\DeclareMathOperator{\extreme}{extreme}  % extreme point
\DeclareMathOperator{\interior}{int}  % interior
\DeclareMathOperator{\nullspace}{Null}  % nullspace
\DeclareMathOperator{\range}{Range}  % range
\DeclareMathOperator{\rank}{rank}  % rank
\DeclareMathOperator{\softmax}{softmax}  % softmax
\DeclareMathOperator{\softplus}{softplus}  % softplus
\DeclareMathOperator{\spanset}{span}  % span
\DeclareMathOperator{\tr}{tr}  % trace
\DeclareMathOperator{\Var}{Var}  % variance

% requires mathtools package:
% \usepackage{mathtools}
\DeclarePairedDelimiterX{\infdivx}[2]{(}{)}{%
  #1\;\delimsize\|\;#2%
}
\newcommand{\KL}{\text{KL}\infdivx}  % KL divergence

% distributions
\DeclareMathOperator{\Bernoulli}{Bernoulli}
\DeclareMathOperator{\Beta}{Beta}
\DeclareMathOperator{\Binomial}{Binomial}
\DeclareMathOperator{\Categorical}{Categorical}
\newcommand{\ChiSq}[1]{\chi^2_{#1}}  % chi-squared, use as \ChiSq{k}
\DeclareMathOperator{\Exponential}{Exponential}
\DeclareMathOperator{\GammaDist}{Gamma}
\DeclareMathOperator{\Gaussian}{\mathcal{N}}  % Gaussian
\DeclareMathOperator{\GP}{\mathcal{GP}}  % Gaussian process
\DeclareMathOperator{\Lognormal}{Lognormal}
\DeclareMathOperator{\Multinomial}{Multinomial}
\DeclareMathOperator{\Poisson}{Poisson}
\DeclareMathOperator{\Uniform}{Uniform}

% caligraphic letters
\newcommand{\Acal}{\mathcal{A}}
\newcommand{\Bcal}{\mathcal{B}}
\newcommand{\Ccal}{\mathcal{C}}
\newcommand{\Dcal}{\mathcal{D}}
\newcommand{\Ecal}{\mathcal{E}}
\newcommand{\Fcal}{\mathcal{F}}
\newcommand{\Gcal}{\mathcal{G}}
\newcommand{\Hcal}{\mathcal{H}}
\newcommand{\Ical}{\mathcal{I}}
\newcommand{\Jcal}{\mathcal{J}}
\newcommand{\Kcal}{\mathcal{K}}
\newcommand{\Lcal}{\mathcal{L}}
\newcommand{\Mcal}{\mathcal{M}}
\newcommand{\Ncal}{\mathcal{N}}
\newcommand{\Ocal}{\mathcal{O}}
\newcommand{\Pcal}{\mathcal{P}}
\newcommand{\Qcal}{\mathcal{Q}}
\newcommand{\Rcal}{\mathcal{R}}
\newcommand{\Scal}{\mathcal{S}}
\newcommand{\Tcal}{\mathcal{T}}
\newcommand{\Ucal}{\mathcal{U}}
\newcommand{\Vcal}{\mathcal{V}}
\newcommand{\Wcal}{\mathcal{W}}
\newcommand{\Xcal}{\mathcal{X}}
\newcommand{\Ycal}{\mathcal{Y}}
\newcommand{\Zcal}{\mathcal{Z}}

% bold letters
\newcommand{\Abf}{\mathbf{A}}
\newcommand{\Bbf}{\mathbf{B}}
\newcommand{\Cbf}{\mathbf{C}}
\newcommand{\Dbf}{\mathbf{D}}
\newcommand{\Ebf}{\mathbf{E}}
\newcommand{\Fbf}{\mathbf{F}}
\newcommand{\Gbf}{\mathbf{G}}
\newcommand{\Hbf}{\mathbf{H}}
\newcommand{\Ibf}{\mathbf{I}}
\newcommand{\Jbf}{\mathbf{J}}
\newcommand{\Kbf}{\mathbf{K}}
\newcommand{\Lbf}{\mathbf{L}}
\newcommand{\Mbf}{\mathbf{M}}
\newcommand{\Nbf}{\mathbf{N}}
\newcommand{\Obf}{\mathbf{O}}
\newcommand{\Pbf}{\mathbf{P}}
\newcommand{\Qbf}{\mathbf{Q}}
\newcommand{\Rbf}{\mathbf{R}}
\newcommand{\Sbf}{\mathbf{S}}
\newcommand{\Tbf}{\mathbf{T}}
\newcommand{\Ubf}{\mathbf{U}}
\newcommand{\Vbf}{\mathbf{V}}
\newcommand{\Wbf}{\mathbf{W}}
\newcommand{\Xbf}{\mathbf{X}}
\newcommand{\Ybf}{\mathbf{Y}}
\newcommand{\Zbf}{\mathbf{Z}}
\newcommand{\abf}{\mathbf{a}}
\newcommand{\bbf}{\mathbf{b}}
\newcommand{\cbf}{\mathbf{c}}
\newcommand{\dbf}{\mathbf{d}}
\newcommand{\ebf}{\mathbf{e}}
\newcommand{\fbf}{\mathbf{f}}
\newcommand{\gbf}{\mathbf{g}}
\newcommand{\hbf}{\mathbf{h}}
\newcommand{\ibf}{\mathbf{i}}
\newcommand{\jbf}{\mathbf{j}}
\newcommand{\kbf}{\mathbf{k}}
\newcommand{\lbf}{\mathbf{l}}
\newcommand{\mbf}{\mathbf{m}}
\newcommand{\nbf}{\mathbf{n}}
\newcommand{\obf}{\mathbf{o}}
\newcommand{\pbf}{\mathbf{p}}
\newcommand{\qbf}{\mathbf{q}}
\newcommand{\rbf}{\mathbf{r}}
\newcommand{\sbf}{\mathbf{s}}
\newcommand{\tbf}{\mathbf{t}}
\newcommand{\ubf}{\mathbf{u}}
\newcommand{\vbf}{\mathbf{v}}
\newcommand{\wbf}{\mathbf{w}}
\newcommand{\xbf}{\mathbf{x}}
\newcommand{\ybf}{\mathbf{y}}
\newcommand{\zbf}{\mathbf{z}}