defs.tex

%
% From: http://www.ams.org/authors/monopackages.html
%
\newtheorem{theorem}{Theorem}[chapter]
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{property}[theorem]{Property}

\theoremstyle{definition}
\newtheorem{definition}[theorem]{Definition}

\theoremstyle{definition}
\newtheorem{example}[theorem]{Example}

\newtheoremstyle{exercise}% name
     {3pt}%      Space above
     {6pt}%      Space below
     {}%         Body font
     {}%         Indent amount (empty = no indent, \parindent = para indent)
     {}% Thm head font
     {)}%        Punctuation after thm head
     {.5em}%     Space after thm head: " " = normal interword space;
           %       \newline = linebreak
     {}

\newcounter{exercount}
\theoremstyle{exercise}
\newtheorem{exercise}[exercount]{}
\renewcommand{\theexercount}{\thechapter.\arabic{exercount}}

\theoremstyle{remark}
\newtheorem{remark}[theorem]{Remark}

\numberwithin{section}{chapter}
\numberwithin{equation}{chapter}

\makeatletter
\renewcommand\paragraph{%
   \@startsection{paragraph}{4}{0mm}%
      {-\baselineskip}%
      {-\baselineskip}%
      {\normalfont\normalsize\bfseries}}
\makeatother

\newcommand{\eref}[1]{(\ref{#1})}      % FOR EQUATION REFERENCES
\newcommand{\defeq}{\triangleq}        % DEFINED TO BE EQUAL TO
\newcommand{\nats}{\mathbb{N}}
\newcommand{\positives}{\mathbb{P}}
\newcommand{\reals}{\mathbb{R}}
\newcommand{\ints}{\mathbb{Z}}
\newcommand{\rats}{\mathbb{Q}}
\newcommand{\complexes}{\mathbb{C}}
\newcommand{\vvec}[2]{ \left ( \begin{array}{c} #1 \\ #2 \end{array} \right ) }
\newcommand{\vvvec}[3]{ \left ( \begin{array}{c} #1 \\ #2 \\ #3 \end{array} \right ) }

\newcommand{\pd}[2]{\frac{\partial #1}{\partial #2}}

\newcommand{\enx}{ % TO END EXAMPLES
  \hfill 
  {\small $\blacktriangle$}
  \bigskip
}

\newcommand{\ev}[1]{\langle #1 \rangle}

\newcommand{\react}[1]{\xrightharpoon[]{#1}}

\newcommand{\rreact}[2]{\xrightleftharpoons[#2]{#1}}

\makeatletter
\newcommand{\xrightharpoon}[2][]{%
  \ensuremath{%
    \mathrel{%
      \settoheight{\dimen@}{\raise 2pt\hbox{$\rightharpoonup$}}%
      \setlength{\dimen@}{-\dimen@}%
      \edef\CA@temp{\the\dimen@}%
      \settoheight\dimen@{$\rightleftharpoons$}%
      \addtolength{\dimen@}{\CA@temp}%
      \raisebox{\dimen@}{%
        \rlap{%
          \raisebox{2pt}{%
            $%
            \ext@arrow 0359\rightharpoonupfill@{\hphantom{#1}}{#2}%
            $%
          }%
        }%
        \hbox{%
          \raisebox{2pt}{%
            $%
            \ext@arrow 0359\rightharpoonupfill@{\hphantom{#1}}{#2}%
            $%
          }%
        }%
      }%
    }%
  }%
}
\makeatother