%   LaTeX2e source for
%   ancillary definitions and macros
%   Collective Cognition Workshop Proceedings
% 
\usepackage{graphicx}
\usepackage{epsfig}
\usepackage{epic,eepic}
\usepackage{rotating}
\def\IGNORE#1{}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\unitlength1cm

%%% headline %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\makeatletter
\def\ps@myheadings{%
  \def\@oddfoot{%
  \reset@font\hfill
  \begin{tabular}{rr}
  \normalfont\subsecsize\sffamily\bfseries\small{Collective
  Cognition---Mathematical Foundations of Distributed Intelligence}\\
%  \normalfont\subsecsize\sffamily\bfseries\small{edited by J. P.
  \normalfont\subsecsize\sffamily\bfseries\footnotesize{edited by J. P.
	Crutchfield, C. R. Shalizi, K. Tumer, and D. H.  Wolpert
%	, Oxford University Press,
%	2002
	}
	&\hbox to .375truein{\hfil\large\sffamily\textbf\thepage}
  \end{tabular}}
  \let\@evenfoot\@empty
  \def\@evenhead{}%
  \def\@oddhead{}%
  \let\@mkboth\@gobbletwo
  \let\chaptermark\@gobble
  \let\sectionmark\@gobble
  }

\newtheorem{quest}{Question}
\newtheorem{lemma}{Lemma}
\newtheorem{definition}{Definition}
\newtheorem{thm}[lemma]{Theorem}
\newtheorem{prop}[lemma]{Proposition}
\newtheorem{cor}[lemma]{Corollary}
\def\precc{\prec\!\!\prec}
\def\Nabla{{\boldsymbol{\nabla}}}
\def\DELTA{{\boldsymbol{\Delta}}}
\def\hb{\hfill\break}
\def\llangle{{\langle\!\langle}}
\def\rrangle{{\rangle\!\rangle}}
\def\and{\wedge}
\def\Transpose{\mathsf{T}}
\def\one{\mathbf{1}}
\def\Lra{\Longrightarrow}
\def\cirC{$\circ$}
\def\bull{$\bullet$}
\def\text#1{\mathrm{#1}}
\def\semi{\hbox{\rlap{\vrule height 1.1ex width .8pt}\kern -.12em$\times{}$}}
\def\MU{\hbox{$\mu$\!\!\!\!$\mu$\!\!\!$\mu$}}
\def\superscrsym#1#2{\,\hbox{ \vbox{
  \offinterlineskip \halign{\hfil##\hfil\cr
  $\scriptstyle{#2}$\cr
  \noalign{\vskip 2pt}
  $\scriptstyle{#1}$\cr}
   }}\,}
\def\qed{\hfil$\square$}
\def\longequal{=\!\!=\!\!=}
\def\isdef{\superscrsym{\longequal}{{\scriptscriptstyle\text{def}}}}
\def\M#1{\MU\{\,{#1}\,\}}
\newcommand{\headline}[2]{%
  \def\@oddhead{%
    \textsc{\sf#2\hfill\thepage}}
  \def\@evenhead{%
    \textsc{\sf#1\hfill\thepage}}
}
\addtolength{\headheight}{3.22pt}
\def\R{{\mathbb R}}
\def\C{{\mathbb C}}   
\def\N{{\mathbb N}}
\def\BSchi{\boldsymbol{\chi}}
\def\BSbarchi{\boldsymbol{\bar\chi}}
\makeatother
%%%%%%% end definitions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\setcounter{tocdepth}{2}
\setcounter{chapter}{0}

\setlength{\hoffset}{0.2in}
\setlength{\textfloatsep}{1.0cm}

\newdimen\captwidth
\captwidth=13cm                           % width captions appear
\newdimen\normalfigwidth
\normalfigwidth=\captwidth                % width figures appear
\newskip\captskip
\captskip=9pt plus3pt minus3pt
\def\normalfigure#1{\hbox to\textwidth{%
       \hfil\resizebox{\normalfigwidth}{!}{\includegraphics{#1}}\hfil}}
\def\capt#1{\refstepcounter{figure}\vskip\captskip\hbox to
\textwidth{%\hfil\vbox{\hsize=\captwidth
\renewcommand{\baselinestretch}{1}{\small
       {\sc Figure \thefigure}\quad#1}\hfil}}