common.tex

% https://tex.stackexchange.com/questions/86054/how-to-remove-the-whitespace-before-itemize-enumerate
% https://ctan.math.washington.edu/tex-archive/macros/latex/contrib/enumitem/enumitem.pdf
\usepackage{enumitem}
\setlist[itemize]{noitemsep,topsep=0pt}
%\newcommand {\beginitemize} {\begin{itemize} \setlength\itemsep{0em} }
%\newcommand {\beginitemize} {\begin{itemize}[noitemsep,topsep=0pt]}
\newcommand {\stopitemize} {\end{itemize} \vspace{0.5em}}


\newcommand {\subsubsubsection} [1] {\vskip 0.5em {\bf \em #1}}

%\newcommand {\comm} [1] {}
\newcommand {\comm} [1]
{
\par
\setlength{\leftskip}{-0.8in}
\begin{tabular} {p{0.1cm} | p{\textwidth}}
  {\bf ?} & {#1}
\end{tabular}
\par
\setlength{\leftskip}{0in}
}


\newcommand {\cond} {, & \textrm{if }}
\newcommand {\otherwise} {, & \textrm{else}}

\newcommand {\Forall} {\forall \ }
\newcommand {\eqdef} {\triangleq}
\newcommand {\equivalent} {\Leftrightarrow}
\renewcommand {\implies} {\Rightarrow}
\renewcommand {\impliedby} {\Leftarrow}
\renewcommand {\And}  {\ \& \ }
\newcommand {\Or}  {\ \vee \ }
\newcommand {\QED} {$\square$ \ \par }
\newcommand {\proofword}  {{\par \sf Proof:\ }}
\newcommand {\proof} [1] {\proofword #1 \QED \par}
\newcommand {\definition} [2] {\bigskip {\bf Definition} {\rm \sc #1} \par #2 \QED \bigskip}
\newcommand {\example} [2] {\bigskip {\bf Example.} {#1} \par #2 \QED}
\newcommand {\theorem} [2] {\bigskip {\bf Theorem} {\rm \sc #1} \par #2 \QED \bigskip}
\newcommand {\ve} {\mathbf}
\newcommand {\vecc} {\boldsymbol}
\newcommand {\Questions} {\vspace{5mm} {\bf Unresolved Questions:}}
\newcommand {\assert} {\square \ }
\newcommand{\indep}{\perp\!\!\!\!\perp}

\renewcommand {\P} {\mathrm P}
\newcommand {\E} {\mathrm E }
\newcommand {\var} {\mathrm {var} \ }
\newcommand {\cov} {\mathrm {cov} }
\newcommand {\cor} {\mathrm {cor} }
\newcommand {\N} {\mathbb N}
\newcommand {\Z} {\mathrm Z}
\newcommand {\R} {\mathbb R}
\newcommand {\C} {\mathbb C}
\newcommand {\I} {\mathbb I}
\newcommand {\supp} {\mathrm {Supp}}
\newcommand {\mat} {\mathrm}
\newcommand {\trc} {\mathrm {tr} \ }
\newcommand {\VC} {\mathrm {VC} }
\newcommand {\const} {\mathrm {const} }
\newcommand {\sgn} {\mathrm {sgn} }
\newcommand {\dom} {\mathrm {dom} }
\newcommand {\range} {\mathrm {range} }
\newcommand {\Arg} {\mathrm {Arg} \ }

\newcommand {\LCA} {\mathrm {LCA} }  % least common ancestor (in a tree)

\newcommand {\nul} {\mathrm {null}}
\newcommand {\Dt} {\Delta t}
\newcommand {\PC} {\mathrm {PC} }
\newcommand {\MDS} {\mathrm {MDS} }
\newcommand {\CC} {\mathrm {CC} }

\newcommand {\re} {\mathrm {re}}
\newcommand {\cl} {\mathrm {cl}}
\newcommand {\intr} {\mathrm {int}}

\newcommand {\<} {\langle}
\renewcommand {\>} {\rangle}

\newcommand {\dotve} [1] {\dot {\ve #1}}

\newcommand {\la} [1] {\lambda (#1) \ }

\newcommand {\lhs} {\mathrm {lhs}}
\newcommand {\rhs} {\mathrm {rhs}}

\providecommand{\keywords}[1]
{
  \small
  \textbf{\textit{Keywords---}} #1
}

\makeatletter
\DeclareRobustCommand{\cev}[1]{%
  {\mathpalette\do@cev{#1}}%
}
\newcommand{\do@cev}[2]{%
  \vbox{\offinterlineskip
    \sbox\z@{$\m@th#1 x$}%
    \ialign{##\cr
      \hidewidth\reflectbox{$\m@th#1\vec{}\mkern4mu$}\hidewidth\cr
      \noalign{\kern-\ht\z@}
      $\m@th#1#2$\cr
    }%
  }%
}
\makeatother