\documentclass{amuc}
%%%%% usepackages
\usepackage{amsfonts}
\usepackage{amsmath}
%\usepackage{mathrsfs}
%\usepackage{eqlist}
%\usepackage{array}
% etc.
\begin{document}
%% \title[HEADLINE TITLE]{LONG TITLE \\ WITH TWO LINES}
\title[Short headline title]{The long title of the sample article \\
or how to use amuc.cls}
%% First author ...name + address + email
%% \author{F. Last-name}
%% \address{Department, University, Town, State}
%% optional - current address, e-mail and url
%% \curraddr{...}
%% \email{...@...}
%% \urladdr{...}
\author{F. Anonymous}
\address{Department of Mathematics, Fun University, Funcity, Funland}
%\curraddr{Department of Mathematics, Sun University, Suncity, Sunland}
\email{fanonymous@fun.xy}
%\urladdr{http://www.anonymous.com/~anonymous}
%% If there are more authors, then second author, third author contains
%% the same items
\author{S. Anonymous}
\address{Department of Mathematics, Sun University, Suncity, Sunland}
\email{sanonymous@Sun.xy}
%% (optional) If any thanks for the financial supports, grants, ...
%\thanks{The first author was supported ...}
\thanks{The authors gratefully
acknowledge the financial support from the project XY}
%% Keywords (obligatory)
\keywords{fun; amuc}
%% AMS Classification 2010 (obligatory)
%% The Primary classification is obligatory,
%% the Secondary classification is optional.
%% \subjclass{primary}{secondary}
%% f.e. \subjclass{35R35, 49M15, 49N50}{} or \subjclass{35R35, 49M15}{49N50}
\subjclass{35R35, 49M15, 49N50}{}
%% Abstract (obligatory)
\begin{abstract}
This article describes simply how to use amuc.cls.
\end{abstract}
\maketitle
%%%%% Options of setting environments for theorems, definitions, etc.
\theoremstyle{plain} %% for italic environments
\newtheorem{theorem}{Theorem}[section]
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{lemma}[theorem]{Lemma}
\theoremstyle{definition} %% for nonitalic environments
\newtheorem{definition}[theorem]{Definition}
%%% for unnumbered environments, use:
\newtheorem*{remark}{Remark}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%macros:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%% the main article
\section{First section}
The article can be written the same way as the standard article.cls
or more precisely amsart.cls.
\subsection{First subsection}
\begin{theorem}[Fermat]\label{main}
The first theorem \dots -- the theorems are written in italic style.
\end{theorem}
\begin{theorem}[{\cite[Theorem 3]{Rie1}}]\label{thm1.2}
The second theorem \dots
\end{theorem}
\begin{definition}
In the journal, the definitions and remarks are not written in italic style.
\end{definition}
\begin{lemma}
The lemma -- again in italic style.
\end{lemma}
\begin{proof}
The environment ``proof'' is defined automatically.
\end{proof}
\begin{proof}[Proof of Theorem~{\upshape\ref{main}}]
The environment ``proof'' is defined automatically and the word ``Proof'' can be changed
as optional argument.
\end{proof}
\begin{proof*}
The environment ``proof'' with the star is also defined automatically and it can
be use, when the symbol $\Box$ for ``end proof'' should not be given.
\begin{equation}\label{equation1}
a+b=(\neg a)^{b}=(\neg b)^{a}=b+a.
\end{equation}
To refer the theorems, lemmas etc. please use Theorem~\ref{thm1.2}. To refer an equation use \eqref{equation1}.
\end{proof*}
\begin{remark}
You can also very simply to define unnumbered environments.
\end{remark}
\begin{acknowledgment}
Thank you Peter Pan for helpful comment to this article.
\end{acknowledgment}
%%%% References
%%% if more than 10 references are available, use \begin{thebibliography}{99}
Rules for writing a bibliography in AMUC:
Titles of serials must be abbreviated according to List of AMS.
Reference style (see References):
1. Ordinary paper
2. Paper at arXiv
3. Paper in electronic journal
4. Ordinary book
5. Book of monographic series
6. Paper in book
7. Paper in proceedings
8. Paper in monographic series
9. Item at website
\begin{thebibliography}{9}
% Ordinary paper
\bibitem{russo1}
Russo D., Bresler E., Shani U. and Parker J. C.,
{\em Analysis of infiltration events in relation to determining soil hydraulic properties by inverse problem methodology},
Water Resources Research {\bf 27} (1991), 1361--1373.
% Paper at arXiv
\bibitem{marco}
Marco J. P.,
{\em Dynamical complexity and symplectic integrability}, {\tt arXiv:0907.5363v1}.
%Paper in electronic journal
\bibitem{HolikIJGMMP}
Holik F., Massri C. and Plastino A.,
{\em Geometric probability theory and Jaynes's methodology},
Electron. J. Combin. {\bf 13} (2016), \#1650025.
% Ordinary book
\bibitem{NarBec}
Narici L. and Beckenstein E.,
{\em Topological Vector Spaces},
Marcel Dekker, New York, 1985.
% Book of monographic series
\bibitem{12}
Berberian S. K.,
{\em Lectures in Functional Analysis and Operator Theory},
Graduate Texts in Math. 15, Springer-Verlag, 1974.
% Paper in book
\bibitem{RiMu}
Rie\v can B. and Mundici D.,
{\em Probability on MV-algebras},
in: Handbook of Measure Theory, Vol. II (E. Pap, R. Hook, eds.), Elsevier Science, 2002, 869--909.
% Paper in proceedings
\bibitem{3}
Hilton A. J. W. and Rodger C. A.,
{\em Graphs and configurations, a look at graph theory},
in: Proceedings of 4th Pannonian Symposium on Mathematical Statistics (E. Pap et al., eds.), Cerisy, 1980,
Oxford University Press, 1981, 55--64.
% Paper in monographic series
\bibitem{Rie1}
Rie\v can B.,
{\em Probability theory on IF-events},
in: Algebraic and Proof-theoretic Aspects of Non-classical Logics,
Lecture Notes in Comput. Sci. 4460, Springer, 2007, 290--308.
% Item at website
\bibitem{Ribet}
Ribet K. and Anonymous F.,
{\em Lectures on Serre's Conjectures},\newline
{\tt https://wstein.org/papers/serre/ribet-stein.pdf}.
\end{thebibliography}
\end{document}