%  Latex file illustrating the use of ``psfig''
\documentstyle[12pt,psfig]{article}
\begin{document}
%

%% ####################################################################
\title{Dorothy, the Small and Meek
        \thanks{Adapted from the movie version}.
      }

\author{{\bf W.O. Oz}}

\maketitle

\abstract{By the power of the ruby slippers, one may incorporate
 encapsulated postscript files into LaTeX.}

%% ###################################################################

\section{Description of the Problem}
\label{intro}
   The eps problem has attracted the attention of researchers for years.
It has now been solved. 
In addition to putting in huge and ugly math formulea, it is now 
possible to waste space with irrelevent graphics.
An example of each will suffice. 
\begin{eqnarray*}
 \Vert F(\bar{q}+t\delta q) - F(\bar{q}) - tdF(\bar{q};\delta q) \Vert_V 
 &=& \Bigl\Vert \Bigl(
       \sum_{k=2}^\infty \bigl[-tA^{-1}(\bar{q})A(\delta q)\bigr]^k
      \Bigr) F(\bar{q})\Bigr\Vert_V \\
 &\leq& |t|^2\Vert (A^{-1}(\bar{q})A(\delta q)\Vert_{\mathcal{L}(V,V)}^2
  \Vert F(\bar{q}+\delta q) \Vert_V,
\end{eqnarray*}
This is illustrated in the following figure. 
%%%%%%%%%  Figure 1 %%%%%%%%%%
\begin{figure}[h]
\centerline{\hbox{\psfig{figure=figure1.eps,height=2.5in,width=2.5in}}}
\caption{Example 1: The ``true'' conductivity, 
         $p(x,y)$ in  equation (16).}
\end{figure}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
From this is follow that 
\begin{eqnarray*}
       \sup_{w\in R}\Bigl(\; \Vert A(p)w\Vert_{V^*}\;\Bigr)
   &=& \sup_{w\in R}\Bigl(\; \sup_{\Vert v\Vert_V=1}\
                             |\langle p\nabla w,\nabla v\rangle| \;\Bigr) \\
   &\leq& \sup_{w\in R}\Bigl(\; 
        \int_\Omega |p(x)|\,|\nabla w(x)|^2\;dx|\;\Bigr)^{1/2} \\
   &\leq& \sup_{w\in R}\Bigl(\; 
          2C_1|\int_\Omega |p(x)|\,|\nabla w(x)|^2\;dx|\;\Bigr)^{1/2} \\
   &\leq& \bar{\epsilon}.
\end{eqnarray*}
The proof is complete.

\end{document}