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\documentclass[finalsize,finaltitle,draft]{zaa}

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\usepackage{graphicx}

\begin{document}

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\title{ZAA Journal Sample Title which is\\ Quite Long}

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\runtitle{ZAA Journal Sample}

\author{Author One and Author Two}
\runauthor{A. One et al.}

\address{A. One: Department of Mathematics, University of XX, ZZ Kingdom; e-mail address}
\address{A. Two: Department of Physics, ZZ University, Republic of X; e-mail address}

\dedication{Dedicated Author Three to her 100th birthday}

\abstract{%
We discuss how to use \LaTeX\ for publications in mathematics.
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\keywords{\LaTeX, mathematics, science}

% there are two possibilities for Mathematics Subject classification: 
%\classification{00D00,11A11}
%or 

\primclass{00D00}
\secclasses{11D11, 22D22}

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\received{April 1, 2004}
\logo{44}{2004}{3}{1}{3}
\doi{3445}

\maketitle


% let's define a new macro
\newcommand{\abs}[1]{\lvert#1\rvert}


\section{Introduction}


\subsection{How to use \LaTeX}

Here, the use of some environments is demonstrated.
The following environments
are supplied: \texttt{
theorem, lemma, proposition, corollary,
definition, conjecture, example, remark, note,  \!case} and \texttt{proof}.

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\begin{lemma}\label{lem}
Let $f, g\in  A(X)$ and let $E$, $F$ be cozero
sets in $X$.
\begin{itemize}%[2mm]
\item[\rm 1.] If $f$ is $E$-regular and $F\subseteq E$, then $f$ is $F$-regular.
\item[\rm 2.] If $f$ is $E$-regular and $F$-regular, then $f$ is $E\cup
F$-regular.
\item[\rm 3.] If $f(x)\geq c>0$ for all $x\in E$, then $f$ is $E$-regular.
\end{itemize}
\end{lemma}

The following is an example \cite{c1,l1} of a proof.

\begin{proof}[Proof of Lemma~{\rm \ref{lem}}] Set $j(\nu)=\max(I\backslash a(\nu))-1$. Then we have
\[
\sum_{i\notin a(\nu)}t_i\sim t_{j(\nu)+1}
  =\prod^{j(\nu)}_{j=0}\,\frac{t_{j+1}}{t_j}\,.
\]
Hence we have
\begin{align}
\begin{split}
\prod_\nu\Biggl(\sum_{i\notin
  a(\nu)}t_i\Biggr)^{\!\abs{a(\nu-1)}-\abs{a(\nu)}}
&\sim\prod_\nu\prod^{j(\nu)}_{j=0}
  \left(\frac{t_{j+1}}{t_j}\right)^{\abs{a(\nu-1)}-\abs{a(\nu)}}\\
&=\prod_{j\geq 0}\left(\frac{t_{j+1}}{t_j}\right)^{
  \sum_{j(\nu)\geq j}(\abs{a(\nu-1)}-\abs{a(\nu)})}.
\end{split}
\end{align}
By definition, we have $a(\nu(j))\supset c(j)$. Hence, $\abs{c(j)}=n-j$.
\qed
\end{proof}

\begin{note}
This is an example of a `note'. The magnetization $M_0$ of the Ising
model is related to the local state probability $P(a):M_0=P(1)-P(-1)$. 
For fractions, the representation $\frac{a}{b}$ is preferred instead of $a/b$. 
\end{note}


\begin{definition}
This is an example of a `definition' environment.
For $f\in A(X)$, we define
\begin{equation}\label{eq1}
\mathcal{Z} (f)=\{E\in Z[X]: \text{$f$ is $E^c$-regular}\}.
\end{equation}
\end{definition}

\begin{remark}
This is an example of a `remark' environment.
For $f\in A(X)$, we define
\begin{equation}
\mathcal{Z} (f)=\{E\in Z[X]: \text{$f$ is $E^c$-regular}\}. \tag*{($\star$)}
\end{equation}
\end{remark}

\begin{example}
This is an example of an `example' environment.
For $f\in A(X)$, we define
\begin{equation}
\mathcal{Z} (f)=\{E\in Z[X]: \text{$f$ is $E^c$-regular}\}.
\end{equation}
\end{example}


\begin{theorem} \label{thm}
This is an example of a theorem.
\end{theorem}

\begin{theorem}[Meik's Theorem]
This is an example of Theorem~{\rm \ref{thm}} with a parenthetical note in the
heading.
\end{theorem}

\begin{proposition}[{\cite[Proposition~1.3]{v1}}]
This is an example of referring to an equation \eqref{eq1} within an environment.
\end{proposition}

\subsection*{Acknowledgement}
We thank all our friends for not interfering.
 

\begin{thebibliography}{99}

% alphabetically sorted by author,
% chronologically for same authors

\bibitem{c1} Chicone,~C.~and Gerlach,~J.,
Identifiability of distributed parameters.
In: {\it Inverse and Ill-Posed Problems} (eds.: H.~W.~Engl and W.~Groetsch).
Boston: Academic Press 1987, pp.~513 -- 521.

\bibitem{i1} Ito,~K.~and Kunisch,~K., 
On the injectivity of the coeffient-to-solution mapping for elliptic boundary value problems and its linearization 
(submitted). 

\bibitem{l1} Lecumberry,~M. and Rivi\`ere,~T., 
The rectifiability of shock waves for the solutions of genuinely non-linear scalar conservation laws in 1+1 D. 
Preprint 2002.

\bibitem{m1} Metivier,~G. and Zumbrun,~K., 
{\it Large Viscous Boundary Layers for Noncharacteristic Nonlinear Hyperbolic Problems}. 
Mem. Amer. Math. Soc.  175  (2005),  No. 826. 

\bibitem{r1} Richter,~G.~R.,
An inverse problem for the steady state diffusion equation.
{\it SIAM J.~Appl. Math.} 41 (1981), 210 -- 221.

\bibitem{v1} Va\u\i nikko,~G.,
Identification of filtration coefficient.
In: {\it Ill-posed Problems in Natural Sciences} (to appear).

\bibitem{v2} Va\u\i nikko,~G.~M. and Veretennikov,~A.~Yu.,
{\it Iteration Procedures in Ill-Posed Problems} (in Russian).
Moscow: Nauka 1986.

\bibitem{y1} Yeh,~W.~W.-G., 
Review of parameter identification procedures in groundwater hydrology: the inverse problem.
{\it Water Resources Res.} 22 (1986)(2), 95 -- 108.

\end{thebibliography}


\end{document}