%%% ys7template.en.tex %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%% This is a template for abstracts for
%% 7th All-Ukrainian Scientific Conference of Young Mathematicians
%% http://matan.kpi.ua/uk/young-math-2018.html
%%   
%% - Rename this file according to author's surnames
%%
%% - Write your abstract using this template
%%
%% - Ensure that LaTeX runs without errors.
%%   Don't forget to spell-check your document.
%%
%% - E-mail your .tex and .pdf to Organizing committee
%%   with your section number and surname in the subject, e.g.:
%%     Section 1: abstract A.U.Thor
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\documentclass[10pt,reqno]{amsart}
\usepackage{cmap}\usepackage[T2A]{fontenc}\usepackage[utf8]{inputenc}
\usepackage[ukrainian,english]{babel}\usepackage{indentfirst,textcase}
\usepackage[a5paper,margin={15mm,10mm}]{geometry}

%%% Include needed packages here %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% E.g.,
% \usepackage{graphicx} %% To insert pictures
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%% Environment 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}
\theoremstyle{example}
\newtheorem{example}{Example}
\newtheorem*{example*}{Example}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%% Place your user-defined macros here %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% E.g.,
% \newcommand{\R}{\mathbb{R}}
% \newcommand{\1}{1\mkern-4.5mu\mathrm{l}}
% \newcommand{\set}[1]{\left\{#1\right\}}
% \newcommand{\norm}[2][]{\left\lVert#2\right\rVert_{#1}}
% \DeclareMathOperator{\Prob}{\mathsf{P}}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{document}

\title{Title of the talk} 

\author{A.U.~Thor}
\address{Igor Sikorsky Kyiv Polytechnic Institute,
         Kyiv, Ukraine}
\email{au\_thor@kpi.ua}
% \urladdr{http://kafedra.kpi.ua/~author/} %% (optional)

%% If there are multiple authors: (any number)
% 
% \author{S.E.~Condauthor}
% \address{Institute of Mathematics, NAS of Ukraine\\
%          Kyiv, Ukraine}
% \email{second.author@imath.kiev.ua}


\makeatletter\def\and{\unskip,\;\space\ignorespaces}\def\author@andify{\nxandlist{\and}{\and}{\and}}\makeatother
\maketitle\thispagestyle{empty}


\begin{theorem}
  \label{thm:obsiah}
  The abstract should not exceed $1$~page.
\end{theorem}

\begin{remark}
  Don't forget to splle-check your document!
\end{remark}

\begin{theorem}
  \label{thm:formuly}
  All mathematical formulas, even if they consist of a single character,
  have to be written using one of equation environments:
  \verb|$...$|, \verb|\[...\]|, \verb|\begin{equation}...\end{equation}| 
  etc.
\end{theorem}

\begin{remark}
  Label only referenced equations:
  \[
    e^{i \pi} + 1 = 0,
  \]
  thus
  \begin{equation}
    \label{eq:euler-squared}
    e^{2\pi i} = 1.
  \end{equation}
\end{remark}

\begin{example}
Examples of references: theorem~\ref{thm:formuly}, equation~\eqref{eq:euler-squared},
papers~\cite{IP95} and~\cite{Tho09} \ldots
\end{example}

Some rules of good typesetting:
\begin{enumerate}
\item Define document's logical structure.
  Don't use constructions like
\begin{verbatim}
  \noindent\textbf{Theorem~1.}\enspace \textit{Text.}
\end{verbatim}
  Instead use the 
  \verb|theorem| or similiar environment.

\item Don't use \verb|"| as quotes.
  %% C.f. https://en.wikibooks.org/wiki/LaTeX/Text_Formatting#Quote-marks
  Use <<French quotes>> or ``English quotes''.
  
\item Distinguish dash <<->>, en-dash <<-->>, 
  em-dash <<--->>\linebreak and minux <<$-$>>.

\item \ldots
\end{enumerate}

Happy \LaTeX{}ing!

%% For references you can use either BibTeX
%% or `thebibliography` environment.

%% Option 1: Use BibTeX :
% \bibliographystyle{ugost2008}
% \bibliography{yourbibliographyfilename}

%% Option 2: w/o BibTeX :
\begin{thebibliography}{9}
\bibitem{IP95} Ivanov~S.P., Petrenko~A.M.
  \emph{A very interesting paper}
  //~Ukr. math. journ.
  --- 1995. --- V.~27, No~1. --- P.~59--64.

\bibitem{Tho09} Thor~A.U.
  \emph{Book title}. 
  --- Kyiv,
  2009. --- 234~p.
\end{thebibliography}

\end{document}
