% AMS-LaTeX 1.2 sample file for book proceedings, based on amsproc.cls.
%{
\documentclass[twoside,11pt]{book}
\newcommand{\forheadtitle}{CURVE MINIMIZATION}
\newcounter{gnucount}
\setcounter{gnucount}{0}
\newcommand{\gnu}[1]{\refstepcounter{gnucount}
\medbreak
\begin{center}
\fbox{\begin{minipage}{12cm}
\noindent COMMENT NO. \thegnucount.\ \ #1%\ COMMENT-END
\end{minipage}}\end{center}
\medbreak}
%Uncomment the following  line to run file without printing the gnus
%\renewcommand{\gnu}[1]{}
\usepackage{epsf}
\input epsf
\usepackage{amssymb}
%\usepackage{makeidx}
\parskip=0.8mm
\def\comment#1{}
\def\snell{Snell}
\def\traj{{\rm Traj\,}}
\def\llist#1{
\vspace{-4.5mm}
\begin{center}
$\quad\quad\,\,$\mbox{\begin{minipage}{12.2cm}
#1
\end{minipage}}\end{center}}

\def\lllist#1{
\vspace{-4.5mm}
\begin{center}
$\quad\quad\quad$\mbox{\begin{minipage}{11.9cm}
#1
\end{minipage}}\end{center}}

\newcommand{\compo}{\circ}
\def\transv{{\cap\kern-5pt\lower -2.2pt\hbox{$|$}\kern-4.9pt\lower
-7pt\hbox{$-$}}} 
\def\baba{|\kern-1.7pt|}
\def\stransv{{\cap\kern-5.3pt\lower -2.2pt\hbox{$\baba$}\kern-5.3pt\lower
-7pt\hbox{$-$}}} 
\newcommand{\eps}{\varepsilon}
\def\verylongrightarrow{\raise2.2pt\hbox to 25pt{\hrulefill}\kern-4pt\longrightarrow}
\def\verylongline{\raise2.2pt\hbox to 37pt{\hrulefill}}
\def\ovarrow#1{{\stackrel{#1}{\verylongrightarrow}}}
\def\ovline#1{{\stackrel{#1}{\verylongline}}}
\def\ovlarrow#1{{\stackrel{#1}{\verylongleftarrow}}}
\def\verylongleftarrow{\longleftarrow\kern-4pt\raise2.2pt\hbox to 25pt{\hrulefill}}
\def\longsearrow{\setlength{\unitlength}{0.5cm}
\begin{picture}(1.2,1.2)
\put(-0.2,1.2){\vector(1,-1){2}}
\end{picture}}
\def\longnearrow{\setlength{\unitlength}{0.5cm}
\begin{picture}(1.2,1.2)
\put(-0.2,-1.2){\vector(1,1){2}}
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\def\longdownarrow{\setlength{\unitlength}{0.25cm}
\begin{picture}(0.6,1)
\put(0.2,1){\vector(0,-1){2}}
\end{picture}}
\def\longuparrow{\setlength{\unitlength}{0.25cm}
\begin{picture}(1.2,1.2)
\put(0.2,-0.5){\vector(0,1){2}}
\end{picture}}
\def\veceps{\vec{\eps}} 
\def\vic{\pmb}
\def\Is{I^{\#}}
\def\Xis{\Xi^{\#}}
\def\xis{\xi^{\#}}
\def\etas{\eta^{\#}}
\def\zetas{\zeta^{\#}}
\def\qs{q^{\#}}
\def\ts{t^{\#}}
\def\taus{\tau^{\#}}
\def\nus{\nu^{\#}}
\def\restr{\,\lceil\,}
\def\corestr{\,\rceil\,}
\def\equaldef{{\buildrel \rm def \over =}}
\def\mybox{$\lower3.5pt\vbox{\hrule height2.6pt depth-2pt\hbox{\vrule width0.6pt\kern1pt\vbox{\kern1pt\phantom{nj}\kern1pt}\kern1.5pt\vrule width0.6pt}\hrule height2.6pt depth-2pt}$\medbreak}
\def\proofendbox{\enspace\hfill \mybox\bigskip}
\def\proofendsq{\hfill $\square$\medskip}
\def\proofend{\hfill$\diamondsuit\,\,$}
\def\pmb#1{\setbox0=\hbox{$#1$}%
  \kern-.025em\copy0\kern-\wd0
  \kern.05em\copy0\kern-\wd0
  \kern-.025em\raise.0433em\box0 }
\def\pmbo#1{\setbox0=\hbox{$#1$}%
  \kern-.055em\copy0\kern-\wd0
  \kern.05em\copy0\kern-\wd0
  \kern-.055em\raise.0433em\box0 }
\def\bem{\bf\em }
\def\bemu{{\bem U}}
\def\tto{\longrightarrow\kern-9pt\longrightarrow}
\def\zz{\mathbb{Z}}
\def\qq{\mathbb{Q}}
\def\cc{\mathbb{C}}
\def\rr{\mathbb{R}}
\def\nn{\mathbb{N}}
\def\kk{\mathbb{K}}
\def\bmath{\mathbb{B}}
\def\smath{\mathbb{S}}
\def\zmath{\mathbb{Z}}
\newcommand{\nball}{{\bmath}^n}
\def\tub{\mathcal{T}}
\def\tubx{\mathcal{T}^X}
\def\btub{\bar\mathcal{T}}
\def\btubx{\bar\mathcal{T}^X}
\def\linx{{\rm Lin}(X,X)}
\def\linxxp{{\rm Lin}(X,X')}
\def\id{\kern.2em{\rm I}\kern-.56em{\rm 1}}
\def\idnpball{\id_{\partial\bmath_n}}
\def\so{{\rm So}}
\def\ta{{\rm Ta}}
\def\gr{{\rm Gr}}
\def\dom{{\rm Do}}
\def\im{{\rm Im}}
\def\togr{\,\,{\buildrel \rm igr \over \longrightarrow}\,\,}
\def\caF{\mathcal{F}}
%\def\spaco{\ \ \ \ \ \ }
\newcommand{\ssection}{\chapter}
\newcommand{\ssubsection}{\section}
\newcommand{\ben}{\begin{enumerate}}
\newcommand{\een}{\end{enumerate}}
\newtheorem{theorem}{Theorem}[subsection]
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{Fact}[theorem]{Fact}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{remark}[theorem]{Remark}
\newtheorem{example}[theorem]{Example}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{xca}[theorem]{Exercise}

%\numberwithin{equation}{section}

%    Absolute value notation
\newcommand{\abs}[1]{\lvert#1\rvert}

%    Blank box placeholder for figures (to avoid requiring any
%    particular graphics capabilities for printing this document).
\newcommand{\blankbox}[2]{%
  \parbox{\columnwidth}{\centering
%    Set fboxsep to 0 so that the actual size of the box will match the
%    given measurements more closely.
    \setlength{\fboxsep}{0pt}%
    \fbox{\raisebox{0pt}[#2]{\hspace{#1}}}%
  }%
}
\newcounter{figurco}
\setcounter{figurco}{0}
\newcommand{\figurecap}[1]{\refstepcounter{figurco}\bigskip
\begin{center}{\sc Figure \arabic{figurco}}.\ #1
\end{center}\bigskip}

\setcounter{tocdepth}{2}

\begin{document}


\[
\epsfbox{tasman1.ps}
\]
\figurecap{\label{tasmantrip}Tasman's 1642 trip}

\vbox{
\[
\epsfbox{blogo.ps}
\]
\figurecap{\label{blogo}Bernoulli family logo}
}






\end{document}

