%%% fmm2009template.en.tex v0.01 2009/12/15
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% This is a template file for abstract of the
% Fractals and Modern Mathematics Conference
% 24th December 2009
% Kyiv, Ukraine
% http://www.imath.kiev.ua/~baranovskyi/fmm2009/
%
% - Rename this file according to authors' last names.
%
% - Prepare your abstract using template.
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% - Make sure that LaTeX does not produce any error messages.
% Do not forget to delete all unnecessary comments.
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% fmmconf_at_gmail_dot_com (replace _at_ by @ and _dot_ by .)
%
% Please send bug reports, feature requests, any other suggestions
% concerning this template file to the current maintainer:
% Oleksandr Baranovskyi
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\documentclass[a4paper,12pt,reqno]{amsart}% Use document class amsart please
\usepackage[T2A]{fontenc}
\usepackage[cp1251]{inputenc}% Change input encoding if you need
\usepackage[english]{babel}
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% For example,
% \usepackage{graphicx}% If you need to include pictures in document
% \usepackage{textcase}% Useful for non-English languages only
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%%% Theorem-like environments' definitions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\theoremstyle{plain}
\newtheorem{theorem}{Theorem}
\newtheorem*{theorem*}{Theorem}
\newtheorem{corollary}{Corollary}
\newtheorem*{corollary*}{Corollary}
\newtheorem{lemma}{Lemma}
\newtheorem*{lemma*}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem*{proposition*}{Proposition}
\newtheorem{conjecture}{Conjecture}
\newtheorem*{conjecture*}{Conjecture}
\theoremstyle{definition}
\newtheorem{definition}{Definition}
\newtheorem*{definition*}{Definition}
\theoremstyle{remark}
\newtheorem{remark}{Remark}
\newtheorem*{remark*}{Remark}
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% \newcommand{\R}{\mathbb{R}}
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% \newcommand{\norm}[2][]{\left\lVert#2\right\rVert_{#1}}
\DeclareMathOperator{\Prob}{\mathsf{P}}
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\begin{document}
\title[Short title]{Title of the talk}
\author{F. I. Author}
\address{Drahomanov National Pedagogical University\\
Kyiv, Ukraine}
\email{f.i.author@domain.com.ua}
\urladdr{http://www.domain.com.ua/~fiauthor/}
% Provide information for another authors (as many as you need)
% \author{S. E. Author}
% \address{Institute of Mathematics of the NAS of Ukraine\\
% Kyiv, Ukraine}
% \email{s.e.author@other-domain.com.ua}
\maketitle
It is evident that $\lambda(S') = 0$ and $\Prob\{\xi\in S'\} >
0$. More recent results are found in~\cite{IP95} and~\cite{Tho09}.
\begin{definition}
An expression
\begin{equation}
\label{eq:cfrac}
a_0 + \cfrac{1}{a_1 + \cfrac{1}{a_2 + \ldots}}
\end{equation}
is called \emph{the continued fraction}.
\end{definition}
\begin{theorem}
\label{thm:converge}
The continued fraction~\eqref{eq:cfrac} converges if and only if the
series
\[
\sum_{n=1}^\infty a_n
\]
diverges.
\end{theorem}
From Theorem~\ref{thm:converge} it follows that \ldots
Some rules of good typesetting:
\begin{enumerate}
\item Specify the logical structure of a document. For example, you
should not use the construction
\begin{verbatim}
\textbf{Theorem~1.}\enspace \textit{Text.}
\end{verbatim}
Use command \verb"\newtheorem" and environment \verb"theorem"
instead.
\item Use ``opening and closing quotation marks'' rather than "single
quotation marks".
\item Distinguish ``-'' hyphen, ``--'' en-dash, ``---'' em-dash and
``$-$'' minus sign.
\item \ldots
\end{enumerate}
Happy \LaTeX{}ing!
% To prepare bibliography you may use either BibTeX (preferably) or
% environment thebibliography.
% Case 1: Using BibTeX to prepare a bibliography
\bibliographystyle{gost71u}% or {gost71s} or {amsplain}
\bibliography{yourbibliographyfilename}
% After the bibliography has been completed, the contents of the .bbl
% file should be inserted into this file, replacing the previous
% lines.
% Case 2: Preparing a bibliography without BibTeX
\begin{thebibliography}{9}
\bibitem{IP95} \emph{Ivanov~S.~P., Petrenko~A.~M.} Very interesting
article //~Ukrainian Math. J.~--- 1995.~--- Vol.~27, no.~1.~---
P.~59--64.
\bibitem{Tho09} \emph{Thor~A.~U.} Book title.~--- Kyiv: Naukova Dumka,
2009.~--- 234~p.
\end{thebibliography}
\end{document}