
%**********************************************************************
%   Sample paper (in LaTeX2e) for Dissertationes Math.  August 1, 2012
%   Send comments to publ@impan.pl
%**********************************************************************
\documentclass{dis}
\usepackage{amsmath}

%% If you are using letters of the Polish alphabet, add \usepackage[T1]{fontenc}
%% E.g. the name "Zoladz" is then coded \.Zo{\l}\k{a}d\'z



%% Numbered objects of "theorem" style (text italicized).
%% The optional parameters below indicate that all objects are numbered together, and "by chapter".
%% However, you are welcome to use any other numbering system of your choice.

\newtheorem{theorem}{Theorem}[chapter]
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{corollary}[theorem]{Corollary}


%%% A numbered theorem with a fancy name: %%%
\newtheorem{maintheorem}[theorem]{Main Theorem}

%% Numbered objects of "non-theorem" style (text roman):

\theoremstyle{definition}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{example}[theorem]{Example}
\newtheorem{remark}[theorem]{Remark}

%%% An unnumbered object: %%%
\newtheorem*{xrem}{Remark}

%%% Activate this if you want chapters to start on a new page:

%\chaptersnewpage

%%% Activate this if you want the references to start on a new page:

%\refnewpage

%%% Activate this if you want "chapter-section" headings:

%\pagestyle{headings}

\begin{document}

\keywords{sectioning, headings, references.}
\mathclass{Primary ???; Secondary ???.}
\thanks{The research of A. F. Nowak was partially supported by ???.}

\abbrevauthors{A. Kowalska and A. F. Nowak}
\abbrevtitle{Sample paper for Dissertationes}

\title{Sample paper for Dissertationes Mathematicae}

\author{Anna Kowalska}
\address{Institute of Mathematics\\ Polish Academy of Sciences\\
\'Sniadeckich 8\\ 00-956 Warszawa, Poland\\
E-mail: kowalska@impan.pl}

\author{Andrzej F. Nowak}
\address{Institute of Mathematics\\ Adam Mickiewicz University\\
Umultowska 87\\ 61-614 Pozna\'n, Poland\\
E-mail: nowak@amu.edu.pl}

\maketitledis

\tableofcontents
\begin{abstract}
This is a sample paper for Dissertationes Math.
\end{abstract}
\makeabstract



\chapter{Introduction} 
This sample paper for Dissertationes Math.
is intended
to facilitate the publication process. All  papers submitted should be
prepared using the dis.cls class file. 


The publisher will create page proofs for final review by the author.

\section{Page}
The most important parameters are width and height:
$\backslash$textwidth30cc and $\backslash$textheight44cc.
The main text is set in 10pt roman, and reference lists, tables,
footnotes and figure
captions in 9pt roman.



\section{Title}\label{S:title}
The title is set in boldface, and the authors' names in caps. The complete postal  and e-mail addresses must be provided. 

Subject classification numbers, key words and phrases, and acknowledgements will appear below the abstract. For the subject classification, use
the 2020 Mathematics Subject Classification.

In the running heads, the authors' first names are replaced by initials, and
the titles are strongly abbreviated. Provide an abbreviation of the title of
no more than 40 characters. Write ``A. Kowalska et al.'' if there are three authors or more.

\section{Theorems, proofs and formulas}
The statements of theorems, corollaries, lemmas and propositions are set in
italics. In definitions, only the term being defined is italicized. Remarks
and ex\-amples are set in roman type. 

Here are some illustrations:

\begin{definition}
A system $S$ is said to be \emph{self-extensional} if 
$S\in B$.
\end{definition}

\begin{xrem}
An unnumbered remark.
\end{xrem}


\begin{maintheorem} 
Here comes the statement of a numbered theorem with a fancy name.
\end{maintheorem}


\begin{theorem}[Maximum Principle, see also {\cite[Theorem 5]{HillDow}}]
If (\ldots), then the following conditions are equivalent: 
\begin{itemize}
\item[\rm(i)] first item,
\item[\rm(ii)] second item,
\item[\rm(iii)] third item.
\end{itemize}
\end{theorem}



\begin{proof} Observe that
\begin{align}\label{E:1}
AAAAAAAAAA &= BBBBBBBBBBB\notag\\
           &\quad + CCCCCCCCCC\notag\\
           &= DDDDDDDDDDDDD.
\end{align}
Now integrate by parts in the last term of~\eqref{E:1}.
\end{proof}

Formulas can be right- or left-numbered. 
 For many examples of codes of complicated multiline formulas, see
http://journals.impan.pl  (``For authors'').


If you want to put the end-of-proof sign after a formula, use $\backslash$proof and $\backslash$sq instead of $\backslash$begin$\{$proof$\}$ and $\backslash$end$\{$proof$\}$:

\proof This follows from
\[
CCC=0.\sq
\]



\chapter{Organization of the paper}



\section{Sectioning}
The paper is divided into chapters, with titles centred, without capitalizing the first letters. Normally, the chapters do not start on a new page; if you want to force this, add  $\backslash$chaptersnewpage to the preamble.

The default headings are ``author--title'' (see Section \ref{S:title}); if you want ``chapter--section'', add the command $\backslash$pagestyle$\{$headings$\}$.




Here are examples of a subsection and a subsubsection:


\subsection{A subheading} This text is included only to illustrate
the appearance of a subheading.

\subsubsection*{A subsubheading} A titled paragraph.



\section{Figures}
Figures must be prepared as eps or pdf files.
All figures will be printed black and white; the colours will only appear in the online version.

\begin{figure}[htb]
\caption{A figure caption}
\end{figure}

\section{Reference list}
Reference items should be  arranged in alphabetical order,
and styled according
to the examples given below. Abbreviations of journal names
should follow {\it Mathematical Reviews.}  The items can either
be numbered, or have labels of your choice. Give the issue number only if each issue of the journal is separately paginated. 

Normally, the reference list does not start on a new page; if you want to force this, add $\backslash$refnewpage to the preamble.

%%%%% Enter the widest reference label as the first parameter%%%%%

%%% Only the title of article is italicized. No boldface numbers are used.%%%
%%% Give the issue number only if each issue of the journal is separately paginated.%%% 





\begin{thebibliography}{HD}

\bibitem[B]{Beck} D. Beck,
\emph{Introduction to Dynamical Systems},
Vol.~2, Progr. Math.~54, Birkh\"auser, Basel, 1978.


\bibitem[HD]{HillDow}  R. Hill and A. Dow,
\emph{An index formula},
J.~Differential Equations 15 (1982), 197--211.

\bibitem[K]{Kow}  J. Kowalski,
\emph{Some remarks on $J(X)$},  
in: Algebra and Analysis (Edmonton, 1973),   E.~Fox et al. (eds.),
Lecture Notes in Math. 867, Springer, Berlin, 1974, 115--124.

\bibitem[N]{Nov} A. S. Novikov,
\emph{An existence theorem for planar graphs},  
Uspekhi Mat. Nauk 23 (1980), no. 3, 111--134 (in Russian); 
English transl.: Russian Math. Surveys 23 (1980), 572--595.

\bibitem[S]{Smith} J. Smith,
\emph{A new upper bound on the cross number},
arXiv:2056.7895.

\end{thebibliography}


\end{document}



