Useful TeX macros

texutils.tex

\usepackage{adjustbox}  % \ftitle
\usepackage{bbold}      % for \1

% Text

%% Identifiers
\newcommand*{\doi}[1]{DOI \href{http://doi.org/#1}{\texttt{#1}}}                      % doi command
\newcommand*{\isbn}[1]{ISBN \href{http://www.worldcat.org/search?q=#1}{\texttt{#1}}}  % isbn command

%% Colors
\definecolor{lgray}{gray}{0.8}             % light gray
\definecolor{dred}{rgb}{0.75, 0.0, 0.0}    % dark red
\definecolor{dgreen}{rgb}{0.0, 0.45, 0.0}  % dark green
\definecolor{dblue}{rgb}{0.0, 0.0, 0.5}    % dark blue

\newcommand{\red}[1]{\textcolor{dred}{#1}}      % red text
\newcommand{\green}[1]{\textcolor{dgreen}{#1}}  % green text
\newcommand{\blue}{\color{dblue}}               % blue field

%% Convenience
\newcommand{\etal}{\textit{et al.}}  % et al

%% Pages
\newcommand{\blank}{\newpage\mbox{}}
\newcommand{\clearoddpage}{\clearpage\ifodd\value{page}\else\null\thispagestyle{plain}\clearpage\fi} 

%% Beamer
\newcommand{\framenote}[1]{\footnote[frame]{\tiny #1}}                     % footnotes for beamer slides
\newcommand{\ftitle}[1]{\frametitle{\adjustbox{max width=\textwidth}{#1}}  % frametitle that fits


% Math

%% Sets
\DeclareMathOperator{\N}{\mathbb{N}}  % natural numbers IN
\DeclareMathOperator{\R}{\mathbb{R}}  % real numbers IR

% Constants
\DeclareMathOperator{\1}{\mathbb{1}}		% unit matrix
\DeclareMathOperator{\I}{\imath}			  % imaginary unit
\DeclareMathOperator{\e}{e}             % exponential 
\DeclareMathOperator{\D}{\mathrm{d}\!}  % differential

% Symbol Operators
\DeclareMathOperator{\sigm}{\varsigma}  % sigmoid
\DeclareMathOperator{\E}{\mathbb{E}} 		% expected value

% Text Operators
\DeclareMathOperator{\svd}{\text{SVD}} 					  % singular value decomposition
\DeclareMathOperator{\chol}{\operatorname{chol}}  % cholesky decomposition
\DeclareMathOperator{\diag}{\operatorname{diag}}  % diagonal
\DeclareMathOperator{\dist}{\operaotrname{dist}}	% distance
\DeclareMathOperator{\pca}{PCA} 					        % principal component analysis
\DeclareMathOperator{\Pod}{POD} 					        % proper orthognal decomposition
\DeclareMathOperator{\mean}{mean}					        % arithmetic mean
\DeclareMathOperator{\avg}{avg} 					        % average
\DeclareMathOperator{\orth}{orth} 					      % orthogonal part
\DeclareMathOperator{\vect}{vec} 					        % vectorization
\DeclareMathOperator{\Var}{Var} 					        % variance
\DeclareMathOperator{\img}{im}						        % image space
\DeclareMathOperator{\tr}{tr} 						        % trace
\DeclareMathOperator{\real}{Re} 					        % real part

%% Split Operators
\DeclareMathOperator*{\argmax}{arg\,max}  % argmax
\DeclareMathOperator*{\argmin}{arg\,min} 	% argmin
\DeclareMathOperator*{\esssup}{ess\,sup}	% essential supremum

% Convenience
\newcommand{\lnorm}[1]{{\operatorname{L}_#1}}            % continous Lebesque norm
\newcommand{\lnormh}[1]{{\operatorname{\ell}_#1}}        % discrete Lebesque norm
\newcommand{\hnorm}[1]{{\operatorname{\mathcal{H}}_#1}}  % Hardy norm
\newcommand{\hanorm}[1]{{\operatorname{H}_#1}}           % Hankel norm
\newcommand{\Lnorm}[2]{{\operatorname{L}_#1^#2}}         % Multi-dimensional Lebesque norm
\newcommand{\T}{\intercal}                               % Transposed

% Math Text
\newcommand{\mathsmall}[1]{\text{\footnotesize $#1$}}