path: root/Master/texmf-dist/doc/latex/ejpecp/sample.tex

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%% This is the sample.tex file for the ejpecp document class.    %%
%% This file is for ejpecp version 0.57                          %%
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%% http://ctan.org/tex-archive/macros/latex/contrib/ejpecp/      %%
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%% The ejpecp class works *only* with a pdflatex engine.         %%
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%% Journal selection: ECP or EJP.                                %%
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\documentclass[ECP]{ejpecp} % replace ECP by EJP if needed.  

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%\usepackage[T1]{fontenc}
%\usepackage[utf8]{inputenc}

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%% Please add here your own packages (be minimalistic please!):  %%
%% Please avoid using exotic packages and keep things simple.    %%
%% It is not necessary to include ams* and graphicx packages     %%
%% since they are automatically included by the ejpecp class.    %%
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%\usepackage{enumerate}  % uncomment to use this package

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\AUTHORS{%
  Krzysztof~Burdzy\footnote{University of Washington, USA. E-mail:
    burdzy@math.washington.edu}
  \and % remove this line and below if single author
  Djalil~Chafa\"{\i}\footnote{Universit\'e Paris-Est Marne-la-Vall\'ee,
    France. E-mail: djalil@chafai.net} }%AUTHORS

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\TITLE{Introduction to the \emph{ejpecp} Class Version 0.57\THANKS{Supported
    by the Institute of Mathematical Statistics (IMS) and the Bernoulli
    Society.}} %\THANKS is optional

\SHORTTITLE{Introduction to the \emph{ejpecp} Class}

\KEYWORDS{EJP ; ECP ; typesetting ; LaTeX} % Separate items with ;

\AMSSUBJ{NA} % Separate items with ;
%\AMSSUBJSECONDARY{FIXME:} % Optional, separate items with ;

\SUBMITTED{January 1, 2012} % Edit.
\ACCEPTED{January 1, 2012} % Edit.

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%\ARXIVID{NNNN.NNNNvn}  

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\VOLUME{0}
\YEAR{0000}
\PAPERNUM{0}
\PAGESTART{0}
\PAGEEND{0}
\DOI{NA}

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\ABSTRACT{The $\LaTeXe$ class \emph{ejpecp} is designed for typesetting of
  articles to be published in the research periodicals \emph{Electronic
    Journal of Probability} (EJP) and \emph{Electronic Communications in
    Probability} (ECP).}

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%% Please add your own macros and environments below:            %%
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%% If possible, avoid using \def and use instead \newcommand     %%
%% If possible, avoid defining your own environments, and use    %%
%% instead the environments already defined by ejpecp such as:   %%
%% definition, theorem, remark, lemma, corollary, example, proof %%
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\newcommand{\ABS}[1]{\left(#1\right)} % example of author macro
\newcommand{\veps}{\varepsilon} % another example of author macro

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\begin{document}

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The $\LaTeXe$ class \emph{ecpecp} is designed for typesetting of articles for
the Electronic Journal of Probability (EJP) and Electronic Communications in
Probability (ECP). The \emph{ecpecp} class comes with a commented sample file
called \texttt{sample.tex}. You are probably reading the pdf version of this
sample file, compiled with a pdflatex engine.

\textbf{An easy way to prepare an article for publication in EJP/ECP is to
  edit the source file \texttt{sample.tex} for this document. Replace the main
  body of the file with the main body of your article. Supply all metadata
  (title, authors, abstract, etc) that are requested in the latex file.}

The \emph{ecpecp} class works only with the pdflatex engine, generating pdf
files. You need a copy of the \texttt{ecpecp.cls} file in your
directory\footnote{Or in any directory scanned for \texttt{cls} files by your
  pdflatex engine.}in order to compile documents based on the \emph{ecpecp}
class, such as \texttt{sample.tex}. To configure the \emph{ecpecp} class for
ECP, use
\begin{verbatim}
\documentclass[ECP]{ejpecp}
\end{verbatim}
while for EJP, use
\begin{verbatim}
\documentclass[EJP]{ejpecp}
\end{verbatim}
The \emph{ecpecp} document class loads automatically the following standard
packages\footnote{For your information, the following packages are also
  loaded: bera, geometry, hyperref, xstring.}:
\begin{center}
  amsmath, amsthm, amsfonts, amssymb, latexsym, dsfont, graphicx
\end{center}
It is therefore not necessary to add \verb+\usepackage+ load commands for
these packages to your latex file. However, you may want to load additional
packages, such as the enumerate package, by using \verb+\usepackage+ commands.
The precise location of these extra load commands is clearly mentioned in the
\texttt{sample.tex} file. The \emph{ecpecp} class provides various
environments, and also important commands such as \verb+\AUTHORS+,
\verb+\TITLE+, etc.
 
\section{Standard predefined environments}

One of the main features of the \emph{ecpecp} class is its predefined
environments.

 \begin{theorem}[My theorem]\label{th:1}
   This is the body of the theorem. This theorem has a name between
   parentheses, and this is implemented by adding an optional parameter
   between square brackets to the theorem environment, namely
\begin{verbatim}
   \begin{theorem}[My theorem] \label{th:1}
     This is the body of ...
   \end{theorem}
\end{verbatim}
 \end{theorem}

 \begin{proof}[Proof of Theorem \ref{th:1}]
   This is the body of the proof of the theorem above. This proof has a name,
   and this is implemented by adding an optional parameter between square
   brackets to the proof environment, namely
   \begin{verbatim}
   \begin{proof}[Proof of Theorem \ref{th:1}] 
     This is the body of the proof of ... 
   \end{proof} 
   \end{verbatim}
   We recommend that you give names to most of your theorem-like environments.
   You cannot imagine how this helps your readers! The proof ends at the
   square box.
 \end{proof}

 Note that a square box $\square$ is automatically added at the end of the
 proof by the environment ``proof.'' The \emph{ecpecp} class provides several
 default environments: theorem, proof, lemma, proposition, definition,
 corollary, remark, example, problem, conjecture.

 \begin{lemma}[My lemma]
   Body of the Lemma. 
 \end{lemma}

 \begin{proof}
   This is the body of a proof environment without name, obtained using
\begin{verbatim}
\begin{proof} 
  This is the body of ... 
\end{proof}
\end{verbatim}
   Note again the automatic inclusion of a square box at the right place $\to$
 \end{proof}

Here are some more examples of predefined environments:

 \begin{lemma}
   Body of the Lemma. This lemma does not have a name.
 \end{lemma}

 \begin{proposition}[My proposition]
   Body of the proposition.
 \end{proposition}

 \begin{corollary}[My corollary]
   Body of the corollary.
 \end{corollary}

 \begin{definition}[My definition]
   Body of the definition.
 \end{definition}

 \begin{conjecture}[My conjecture]
   Body of the conjecture.
 \end{conjecture}

 \begin{remark}[My remark]
   Body of the remark. Note that the style of the body differs from the one
   used for theorems.
 \end{remark}

 \begin{example}[My example]
   Body of the example.
 \end{example}

 \begin{problem}[My problem]
   Body of the problem.
 \end{problem}

 These environments cover most author's needs. It is possible -- but not
 recommended at all! -- to define additional environments based on the theorem
 environment.

\section{Section headings and equation numbering}\label{se:mysection}

The default size for section titles in \LaTeX\ is a bit large. As you might have
noticed, the \emph{ecpecp} class provides smaller section titles. Here are some
sub-sections:

\subsection{A sub-section}

\subsection{Another sub-section}

\subsubsection{A sub-sub-section}

The following numbered displayed equation is the first in section \ref{se:mysection}:

\begin{equation}\label{eq:myequation}
  \int_{-\infty}^{+\infty}\!e^{-t-e^{-t}}\,dt = 1
  \quad\text{and}\quad
  \int_{-\infty}^{+\infty}\!te^{-t-e^{-t}}\,dt = \gamma.
\end{equation}
It is produced with the following source code:
\begin{verbatim}
\begin{equation}\label{eq:myequation}
  \int_{-\infty}^{+\infty}\!e^{-t-e^{-t}}\,dt = 1
  \quad\text{and}\quad
  \int_{-\infty}^{+\infty}\!te^{-t-e^{-t}}\,dt = \gamma.
\end{equation}
\end{verbatim}
You may refer to it by using \verb+\eqref{eq:myequation}+ which
produces \eqref{eq:myequation}. Here is another numbered displayed equation
\begin{equation}
  \int_{-\infty}^{+\infty}\!(t-\gamma)^2e^{-t-e^{-t}}\,dt 
  = \zeta(2) 
  = \frac{\pi^2}{6},
\end{equation}
and yet another one, just for fun:
\begin{equation}
  \int_{-\infty}^{+\infty}\!(t-\gamma)^3e^{-t-e^{-t}}\,dt 
  = 2\zeta(3).
\end{equation}

\section{How to include graphics}

You may include graphics in PDF or EPS or JPEG or PNG format as follows

\begin{verbatim}
\begin{figure}[htbp]
  \begin{center}
    \includegraphics[scale=1.0]{filename}
    \caption{This is my figure.}
    \label{fi:myfigure}
  \end{center}
\end{figure}
\end{verbatim}

Note that in a figure environment, the \verb+\label+ should always appear
after a \verb+\caption+ in order to produce a valid reference to the figure.
You may play with the options \verb+[htbp]+ (see the \LaTeXe\ documentation
for their meaning) and with the options of the \verb+\includegraphics+ command
(see the documentation of the graphicx package).

\section{About your source file for EJP and ECP}

Papers using the \LaTeXe\ class \emph{ecpecp} are quickly published (usually
within a month). Some authors prefer \TeX\ instead of \LaTeX. We believe that
\TeX\ is a good program. However EJP and ECP need a standardized layout for
all papers, and this is easier done with \LaTeX\ than with \TeX. For that
reason, you are encouraged to use \LaTeX. This is quite easy since \LaTeX\ is
based on \TeX. The latest major version of \LaTeX\ is called \LaTeXe.

The aim of EJP and ECP is to publish excellent mathematical articles. Since
every author has his own preferences and habits, we emphasize that the
Managing Editor of EJP and ECP accepts any paper written in \TeX\ or in
\LaTeX\ if the author is unable to convert it to \LaTeXe\ with the
\emph{ecpecp} class. Papers not written with \LaTeXe\ and the \emph{ecpecp}
class are manually converted by the Managing Editor, and this delays the
publication, unfortunately. EJP and ECP are free access journals. Nobody is
paid for typesetting EJP and ECP papers. The Managing Editor handles
typesetting for free.

All mathematicians believe that the mathematical results are the most
important elements of an article. Many of them believe that the aesthetic
aspects of the proof are also important. Some of them believe that even the
writing style is important. Few of them believe that the \LaTeX\ code needs to
be elegant. A good \LaTeX\ code is easier to maintain, to convert, and to
read. It helps your co-authors, and helps to speed up the publication process.
It is very useful to learn how to write genuine \LaTeXe\ code, rather than a
mixture of \TeX\ and old \LaTeX\ (prior to \LaTeXe). Here are some
suggestions:

\begin{itemize}
\item never use \verb+\def+ for defining macros, use instead
  \verb+\newcommand+
\item never use \verb+$$+ for displayed equations, use instead the brackets
  \verb+\[ \]+
\item use \verb+\textbf{}+, \verb+\textit{}+, and \verb+\emph{}+ instead of
  \verb+{\bf }+, \verb+{\it }+, and \verb+{\em }+
\item never use one letter names for macros or for environments
\item never use strange names for macros and environments
\item use the environment proof provided by amsmath (as in \emph{ecpecp})
\item use \verb+\newenvironment+ to define new environments
\item use \verb+\binom{n}{k}+ instead of \verb+n \choose k+
\item use \verb+\frac{a}{b}+ instead of a \verb+\over b+
\item never use an exotic package if you do not really need it
\item indent your code and avoid too long lines
\item use prefixed labels such as \verb+eq:+ for equations and \verb+th:+ for
  theorems
\item to produce graphics, avoid using \emph{psfrag} or \emph{XFig} and use
  instead \emph{\href{http://en.wikipedia.org/wiki/Ipe_(program)}{Ipe}}
\item learn how to interpret the error messages generated during compilation
\item read the wiki-books on \href{http://en.wikibooks.org/wiki/LaTeX}{LaTeX}
  and \href{http://en.wikibooks.org/wiki/LaTeX/Mathematics}{LaTeX Mathematics}
\end{itemize}

\section{Version number}

The version number of the \emph{ecpecp} class converges to
the Euler-Mascheroni constant 
\[
\gamma 
= \lim_{n\to\infty}\left(1+\frac{1}{2}+\cdots+\frac{1}{n}-\ln(n)\right)
= 0.57721\cdots
\]
which is sequence \href{http://oeis.org/A001620}{A001620} in Sloane's
\href{http://oeis.org}{On-Line Encyclopedia of Integer Sequences}.
As you probably know, it turns out that the Euler-Mascheroni constant $\gamma$
is the mean of the Gumbel distribution which has cumulative distribution
function $t\in\mathbb{R}\mapsto e^{-e^{-t}}$.

\section{How to help us}

We (KB and DC) do not consider ourselves \LaTeXe\ experts.
We will be happy to receive comments and suggestions for improvement
(especially constructive ones).

\section{How to include bibliography}

The bibliography should be included in your document (not a separate file),
inside the standard environment \verb+\thebibliography+. If you use bibtex,
this can be accomplished by including the \texttt{bbl} file inside your
document (after preliminary compilation with latex and bibtex). The
bibliography should be sorted alphabetically according to authors names, and
the records should be labeled by numbers. Math Reviews numbers should be
included as in the sample below. If you use bibtex, use
\verb+\bibliographystyle{amsplain}+. As you can see, you may also provide the
arXiv identifier for preprints or unpublished papers\footnote{It is your
  author responsability to check if the preprint is actually published and
  referenced in the Mathematical Reviews (in that case, you should provide the
  MR number instead of the arXiv identifier).}. Here is an example of
bibliography:

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%% Use the two commands below for producing your bibliography    %%
%% with bibtex, then comment again the commands and include the  %%
%% content of the .bbl file in this file below the commands.     %%
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%\bibliographystyle{amsplain}
%\bibliography{yourbibfilename}

% add below the content of your .bbl file produced by bibtex.

\begin{thebibliography}{99}

\bibitem{doob} Doob, J. L.: Heuristic approach to the Kolmogorov-Smirnov
  theorems. \emph{Ann. Math. Statistics} \textbf{20}, (1949), 393--403.
  \MR{0030732}

\bibitem{gnekol} Gnedenko, B. V. and Kolmogorov, A. N.: Limit distributions for
  sums of independent random variables. Translated and annotated by K. L.
  Chung. With an Appendix by J. L. Doob. \emph{Addison-Wesley}, Cambridge,
  1954. ix+264 pp. \MR{0062975}

\bibitem{ito} It\^o, K.: Multiple Wiener integral. \emph{J. Math. Soc. Japan}
  \textbf{3}, (1951), 157--169. \MR{0044064}

\bibitem{levy} L\'evy, P.: Sur certains processus stochastiques homog\`enes.
  \emph{Compositio Math.} \textbf{7}, (1939), 283--339. \MR{0000919}

\bibitem{grisha} Perelman, G.: The entropy formula for the Ricci flow and its
  geometric applications, \ARXIV{math.DG/0211159}

\bibitem{smisch} Smirnov, S. and Schramm, O.: On the scaling limits of planar
  percolation, \ARXIV{1101.5820}

\end{thebibliography}
 
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\end{document}

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