\newcommand{\forall}{\mbox{for all}}
\newcommand{\exists}{\mbox{there exists}}
\newcommand{\clubsuit}{\mbox{clubsuit}}
\newcommand{\diamondsuit}{\mbox{diamondsuit}}
\newcommand{\heartsuit}{\mbox{heartsuit}}
\newcommand{\spadesuit}{\mbox{spadesuit}}
\newcommand{\uparrow}{\mbox{uparrow}}
\newcommand{\downarrow}{\mbox{downarrow}}
\newcommand{\propto}{\mbox{propto}}
\newcommand{\partial}{\mbox{partial}}
\newcommand{\equiv}{\mbox{same as}}
\newcommand{\approx}{\mbox{approx}}
\newcommand{\otimes}{\mbox{otimes}}
\newcommand{\oplus}{\mbox{oplus}}
\newcommand{\cap}{\mbox{intersect}}
\newcommand{\cup}{\mbox{union}}
\newcommand{\supset}{\mbox{include}}
\newcommand{\supseteq}{\mbox{include or equal to}}
\newcommand{\notsubset}{\mbox{not includes in}}
\newcommand{\subset}{\mbox{included in}}
\newcommand{\subseteq}{\mbox{included in or equal to}}
\newcommand{\in}{\mbox{in}}
\newcommand{\notin}{\mbox{not in}}
\newcommand{\Uparrow}{\mbox{Uparrow}}
\newcommand{\Downarrow}{Downarrow}
\newcommand{\@sum}{\mbox{sum}}
\newcommand{\@int}{\mbox{int}}
\newcommand{\lceil}{\mbox{lceil}}
\newcommand{\lfloor}{\mbox{lfloor}}
\newcommand{\rceil}{\mbox{rceil}}
\newcommand{\rfloor}{\mbox{rfloor}}
