\def\firstpage{1}
\def\lastpage{20}%number of pages
\def\mmaauthor{F. Author\sep S. Author \and Th. N. Author}%Example:% F. Author\sep S. Author \and Th. N. Author
\def\mmacorresp{...@...}
\def\mmamid{xx.xxxxx}
\def\mmayear{25}
\def\firstfootnote{0}
% mma style needs information bellow ======================================
\def\mmatitle{MMAJ Title of Article}%Example:% Title of Article
\def\mmarunauthor{Run F. Author\sep {\v S}. Author \and Th. Author}%Example:% F. Author\sep S. Author \and Th. Author
\def\mmaruntitle{RunTitle of Article}%Example:% RunTitle of Article
%Abstract
\def\mmaabstract{
	This short document explains how to use the {\normalsize\LaTeXe}\ class style files. It
	also gives some brief advice on style.
}%end of Abstract
\def\mmakeywords{guide, \LaTeX}%Example:% discrete problem, function
\def\mmaams{..}%Example:%34B24; 34B10
\def\mmareceived{\today}
\def\mmarevised{\today}
\def\mmaaccepted{Month day, year}
\def\mmapublished{Month day, year}

% ************* Author's  references  ******************%
\begin{filecontents*}{x.bib}
@preamble{ "\newcommand{\nosort}[1]{}" }
	
@BOOK{book,
	author = "A. Author",
	title = "Difference methods for initial value problems",
	publisher = "Interscience Publishers, New York",
	year = "1998",
	note = "(in Russian)",
}

@ARTICLE{article-in-journal,
	author = "F. Author and S. Author and T. Author",
	title = "Article in journal",
	journal = "Journal",
	year = 1998,
	volume = 1,
	number = 2,
	pages = "3--40",
	doi =  {10.1007/s10625-005-0242-y},
	note = ""
}

@INPROCEEDINGS{inproceedings,
	author = "A. Author",
	title = "Article in proceedings",
	editor = "H. Ammann and V.A. Solonnikov",
	booktitle = "Proc. of the 6th Intern. Conference NSEC-6, Palanga, Lithuania, 1997",
	series = "Navier-Stokes Equations and Related Nonlinear  Problems",
	pages = "255--264",
	year = 1998,
	address = "Utrect/Vilnius",
	publisher = "VSP/TEV",
	doi =  {10.1007/s10625-005-0242-y},
}

@article{article-with-url,
	title =    {Presence in Text-Based Networked Virtual
		Environments or `{MUDs}'},
	author =   {J. Towell and E. Towell},
	journal =      {Presence},
	volume =   6,
	number =   5,
	pages =    {590--595},
	year =     1997,
	doi =  {10.1007/s10625-005-0242-y},
	url =      {http://www-unix.mcs.anl.gov/~towell/presence.html},
	lastchecked =  {13 February 2002},
	note ="(Article with URL and lastchecked)"
}
	
\end{filecontents*}
% ************* end Author's references ******************%

\documentclass{mma}%Copyediting,Article in press
%\input{mma.copyed.tex}
%\input{mma.proof.tex}
%\input{mma.press.tex}
%\input{mma.def.tex}
\MMAJCLS
\makeatletter
\spnewtheorem*{west}{Test the West}{\bfseries}{\itshape}
\@ifundefined{BibTeX}{%
	\def\BibTeX{\mbox{{\sc Bib}\TeX}}}{}

% ************* Author's  definitions  ********************%

\makeatother
% ************* end Author's definitions ******************%

\begin{document}
	\bibliographystyle{plainmma}
	\begin{topmatter}
		%
		%add runauthor at beginning of Your file
		%add runtitle at beginning of Your file
		%add title at beginning of Your file
		%add add all authors at beginning of Your file
		\title{\mmatitletext}%Example with thanks:% \mmatitletext\thanks{...}
		\author{First Author${}^{a}\ID{...}$\sep Second Author${}^{b}\COR{\mmacorresp}\ID{...}$ 
			\and Third Author${}^{a}\ID{...}$}%Example:% First Author${}^{a}$\sep Second Author${}^{a,b}$ \and Third New Author 
		%\thanks{author thanks}
		\vskip 0.2cm
		{\setstretch{0.75}
			\institution{${}^{a}$Vilnius Tech, Lithuania\RORID{02x3e4q36}}%
			\institution{${}^{b}$Institute of Applied Mathematics, Vilnius University, Lithuania\RORID{03nadee84}}%
		}
		\Keywords%\Keywords and AMS add  at beginning of Your file
		\Email{\mmacorresp}
		%\email{${}^{a}$\mmacorresp;${}^{b}$mifodijus.sapagovas@mif.vu.lt}
	\end{topmatter}
\MMAJarticle

%spell_from this point

% ************* Text entry area ******************%

\section{Introduction}{\label{s:1}}

We accept papers written using \LaTeXe.
The macros described in this
document are designed for use with \LaTeXe\ files.

\section{Work style files}{\label{s:2}}

The \LaTeXe\ work package consists of following files:
\begin{description}
\item[ ]
\begin{quote}
\item[1)] {\tt {\color{magenta}mma.cls,...}} (the class files for \LaTeXe),
\item[2)] {\tt {\color{magenta}plainmma.bst}} (\BibTeX\ plain style file for MMA journal),
\item[3)] {\tt {\color{magenta}guide.tex}} (\LaTeXe\ source file),
\item[4)] {\tt {\color{magenta}guide.pdf}} (this file),
\item[5)] {\tt {\color{magenta}guide*.pdf}} (four additional figures' files).
\end{quote}
\end{description}


In the following sections we describe how to use the macros defined in
the work style(class).

The \LaTeX\ source file  has line(command) {\color{blue}\verb!\begin{document}!} and completes
with command {\color{blue}\verb!\end{document}!}.

{\color{blue}\begin{verbatim}
    \begin{document}
    \bibliographystyle{plainmma}

        This \LaTeX\  file...

    \bibliography{x}
    \end{document}
\end{verbatim}
}

 For bibliography we use {\color{green}plainmma} style.


\section{Preamble}{\label{s:3}}

The preamble is a part of the \LaTeX\ source file preceding the \\
{\color{blue}\verb!\begin{document}! }command.

The first lines in the preamble to your document {\em must} be like this:

{\color{blue}\begin{verbatim}
\def\firstpage{1}
\def\lastpage{20}%number of pages
\def\mmamid{xx.xxxxx}
\def\mmayear{25}
\def\firstfootnote{0}
% mma style needs information bellow ======================================
\def\mmaauthor{...}%Example:% F. Author\sep S. Author \and Th. N. Author
\def\mmacorresp{...@...}
\def\mmatitle{Title...}%Example:% Title of Article
\def\mmarunauthor{...}%Example:% F. Author\sep S. Author \and Th. N. Author
\def\mmaruntitle{...}%Example:% Runtitle of Article
%Abstract
\def\mmaabstract{
	Abstract text
}%end of Abstract
%Keywords%Example:% discrete problem; function
\def\mmakeywords{...;...}
%end of Keywords 
\def\mmaams{...; ...}%Example:%34B24; 34B10
\def\mmareceived{Month day, year}
\def\mmarevised{Month day, year}
\def\mmaaccepted{Month day, year}
\def\mmapublished{Month day, year}
\end{verbatim}}

Then we describe a list of References in \BibTeX\ plain style.
The following bibliography gives sample items for a journal
article~\cite{article-in-journal}, for a book~\cite{book}, for proceedings of
conferences~\cite{inproceedings} and for article wit URL~\cite{article-with-url}.

{\color{blue}\begin{verbatim}
   \begin{filecontents*}{x.bib}

   @BOOK{book,
    author = "A. Author",
    title = "Difference methods for initial value problems",
    publisher = "Interscience Publishers, New York",
    year = "1998",
    note = "(in Russian)",
   }

   @ARTICLE{article-in-journal,
    author = "F. Author and S. Author and T. Author",
    title = "Article in journal",
    journal = "Journal",
    year = 1998,
    volume = 1,
    number = 2,
    pages = "3 -- 40",
   }

   @INPROCEEDINGS{inproceedings,
    author = "A. Author",
    title = "Article in proceedings",
    editor = "H. Ammann and V.A. Solonnikov",
    booktitle = "Proc. of the 6th Intern. Conference
                NSEC-6, Palanga, Lithuania, 1997",
    series = "Navier-Stokes Equations and Related
             Nonlinear  Problems",
    pages = "255 -- 264",
    year = 1998,
    address = "Utrect/Vilnius",
    publisher = "VSP/TEV",
   }

   @article{article-with-url,
   title ={Presence in Text-Based Networked Virtual Environments or`{MUDs}'},
   author =   {J. Towell and E. Towell},
   journal =      {Presence},
   volume =   6,
   number =   5,
   pages =    {590--595},
   year =     1997,
   url =      {http://www-unix.mcs.anl.gov/~towell/presence.html},
   lastchecked =  {13 February 2002},
   note = "(Article with URL and lastchecked)}"
   }
   \end{filecontents*}
\end{verbatim}}

Please use the abbreviations of journals’ names in the list of references in accordance
with the rules of Mathematical Reviews, see\\
 \href{http://www.ams.org/msnhtml/serials.pdf}{http://www.ams.org/msnhtml/serials.pdf}.

The list of references will be arranged in the alphabetic order of author names. Use \LaTeX\
commands {\color{blue}\verb|\cite|}  or {\color{blue}\verb|\nocite|} to refer to papers and/or
books in the list of references:

{\color{blue}\begin{verbatim}
    The following bibliography gives sample items for a journal
    article~\cite{article-in-journal}, for a book~\cite{book} and
    for proceedings of conferences~\cite{inprocee dings}.
\end{verbatim}}

The command {\color{blue}\verb|\documentclass{mma}|} invokes the work style(class)
file, which is based upon the standard \LaTeX\ \verb!article! style(class).


{\color{blue}\begin{verbatim}

\documentclass{mma}

\MMAJCLS
\makeatletter

\spnewtheorem*{west}{Test the West}{\bfseries}{\itshape}
\@ifundefined{BibTeX}{%
	\def\BibTeX{\mbox{{\sc Bib}\TeX}}}{}

% ************* Author's  definitions  ******************%

\makeatother
% ************* end Author's definitions ******************%
\end{verbatim}}

If you have defined any commands or environments (as {\color{blue}\verb|\newtheorem|},
{\color{blue}\verb|\usepackage|,} {\color{blue}\verb|\def|}'s ) in your paper, please put the
relevant code in the preamble (Author's definitions).


\section{Topmatter}

The topmatter is a part of the document where the title, the author(s), the address(es) etc.
are described.

\section{The organization of your paper (sections)}{\label{s:5}}

\subsection{Subsections}{\label{ss:5.1}}

\subsubsection{Subsubsections}{\label{ss:5.1.1}}


Unless your paper is very short you should divide it into logical sections using the
{\color{blue}\verb!\section!}, {\color{blue}\verb!\subsection!},
{\color{blue}\verb!\subsubsection!}, {\color{blue}\verb!\paragraph!} and\\
{\color{blue}\verb!\subparagraph!} commands (see, Section \ref{s:5} and Subsection
\ref{ss:5.1}).

\subsection{Fonts}{\label{ss:5.1a}}

When writing a document, appropriate fonts are normally chosen automatically by the logical
tags used to structure the document. For example, the font attributes for a section heading,
such as large size and bold weight, are defined by the document class and are applied when a
{\color{blue}\verb!\section!} command is used, so that you seldom need to specify font
attributes yourself.

However, occasionally it becomes necessary to specify font attributes
directly. One common reason is the desire to change the overall font
attributes, by choosing, for example, a different font family for the
main text. Another use for explicit font attributes can be to mark
certain portions of the document as special -- e.g., to denote
examples, names, etc.

The full list of text fonts attributes is as follows:

\medskip
\tabcolsep=.1cm
\begin{tabular}{lll}
%
{\tt Shape}:&&\\
%
\quad {\color{blue}\verb|\textup{Upright shape}|} &(standard)&{\rm{Upright  shape  123}}; \\
\quad  {\color{blue}\verb|\textit{Italic shape}|}&(or {\color{blue}\verb|\it)|}&{\it{Italic shape 123}};\\
\quad  {\color{blue}\verb|\textsl{Slanted shape}|}&(or {\color{blue}\verb|\sl)|}&{\sl{Slanted shape 123}};\\
\quad {\color{blue}\verb|\textsc{Small caps shape}|} &(or {\color{blue}\verb|\sc|})&{\sc{Small caps shape 123}};\\
%
{\tt Series}:&&\\
%
\quad  {\color{blue}\verb|\textmd{Medium series}|} &(standard)&{\rm{Medium series 123}};\\
\quad  {\color{blue}\verb|\textbf{Boldface series}|} &(or
{\color{blue}\verb|\bf|})&{\bf{Boldface series 123}};\\
%
{\tt Family}:&&\\
%
\quad  {\color{blue}\verb|\textrm{Roman family}|} &(standard)&{\rm{Roman family 123}};
\\ \quad  {\color{blue}\verb|\textsf{Sans serif family}|}&(or
{\color{blue}\verb|\sf|})&{\textsf{Sans serif family  123}};\\
\quad  {\color{blue}\verb|\texttt{Typewriter family}|} &(or
{\color{blue}\verb|\tt|})&{\tt{Typewriter family 123}}.
\end{tabular}
\medskip


Names of Math font commands:

\medskip
\tabcolsep=.1cm
\begin{tabular}{lll}
%
{\color{blue}\verb|{letters,etc}|}&(standard)
&${{ABCabc,123,{\hat{a}},\tilde{b},\vec{c},\Omega\omega}}$;
\\ {\color{blue}\verb|\mathnormal{letters}|}&
&${\mathnormal{ABCabc,1234567890,\vec{c},\Omega\omega}}$;
\\ {\color{blue}\verb|\mathbm{letters,etc}|}&(or {\color{blue}\verb|\bm |})
&${\bm{ABCabc,123,\hat{a},\tilde{b},\vec{c},\Omega\omega}}$;
\\ {\color{blue}\verb|\mathrm{letters,etc}|}& (or {\color{blue}\verb|\rm |})
&${\rm{ABCabc,123,\hat{a},\tilde{b},\vec{c},\Omega\omega}}$;
\\ {\color{blue}\verb|\mathbf{letters,etc}|}&(or {\color{blue}\verb|\bf |})
&${\bf{ABCabc,123,\hat{a},\tilde{b},\vec{c},\Omega\omega}}$;
\\ {\color{blue}\verb|\mathsf{letters,etc}|}& (or {\color{blue}\verb|\sf |})
&${\sf{ABCabc,123,\hat{a},\tilde{b},\vec{c},\Omega\omega}}$;
\\ {\color{blue}\verb|\mathit{letters,etc}|}& (or {\color{blue}\verb|\it |})
&${\it{ABCabc,123,\hat{a},\tilde{b},\vec{c},\Omega\omega}}$;
\\ {\color{blue}\verb|\mathtt{letters,etc}|}& (or {\color{blue}\verb|\tt |})
&${\tt{ABCabc,123,\hat{a},\tilde{b},\vec{c},\Omega\omega}}$;
\\  {\color{blue}\verb|\mathcal{cap. letters}|}& (or {\color{blue}\verb|\cal |})
&${\cal{ABC}}$;
\\  {\color{blue}\verb|\mathscr{cap. letters}|}& (or {\color{blue}\verb|\scr |})
&${\scr{ABC}}$;
\\  {\color{blue}\verb|\mathbb{cap. letters}|}& (or {\color{blue}\verb|\sym |})
&${\sym{ABC}}$;
\\  {\color{blue}\verb|\mathfrak{lat.letters}|}& (or {\color{blue}\verb|\frak |})
&${\frak{ABCDabcd,123}}$.
%
\end{tabular}
\medskip


\begin{rem}\label{rem:qqq}
For  \textbf{{\color{green}bold}} type letters in math mode  let use {\color{blue}\verb!\bm!}
fonts!:

$\bm{ABCabc123\omega\Omega}$  -- {\color{blue}\verb!\bm{ABCabc123\omega\Omega}!}.
\end{rem}


\begin{rem}\label{rem:qqq1}\

1. For {\it {\color{green}Greek} } letters $\Omega\omega$ in math mode  let use  fonts!:


{\color{blue}\verb!{\Omega\omega}!}.

2. For {{\color{green}constants}} ${\E, \I, \D}$  in math mode let use:

 {\color{blue}\verb!{\E, \I, \D}!}.

3. For {\it {\color{green}standard function and operators}} ${\rm {tan}\,}x, {\rm {grad}\,}f,
{\rm {div}\,}{\vec v}$ and etc. in math mode  let use {\color{blue}\verb!\rm!} fonts:

 {\color{blue}\verb!{\rm {tan}\,}x, {\rm {grad}\,}f, {\rm {div}\,}{\vec v}!}.

4. For {\it {\color{green}matrix}} $\bf{A, B, f}$  in math mode  let use {\color{blue}\verb!\bf!} or
{\color{blue}\verb!\mathbf!} fonts:

{\color{blue}\verb!\bf{A, B, f}!}.

5. For {\it {\color{green}vectors function}} and {\it {\color{green}vectors}}
 $\bm{F, f},\bm{A}, \bm{a}$
in math mode  let use {\color{blue}\verb!\bm!} fonts:

{\color{blue}\verb!\bm{F, f},\bm{A}, \bm{a}!}.


\end{rem}


\subsection{Equations}
\LaTeXe\ automatically numbers displayed equations, unless you issue\\ a
\verb!\nonumber! command.

It is the style in the work package that equation numbers
appear on the right. The work style(class) file has been set up with this
 as the default.

Equations are numbered sequentially in each section {\color{green}{\tt s}} (in the form
(s.1), (s.2), (s.3), $\dots,$ and so on). Theorems, lemmas , tables and figures are
numbered without section number in the whole article.

Instead of some {\color{blue}\verb!\ref{...}!} we can use:

{\color{blue}\verb!\eqref{...}!} for labels of equations;

{\color{blue}\verb!\thmref{...}!} for labels of theorems, lemmas, etc;

{\color{blue}\verb!\figref{...}!} for labels of figures;

{\color{blue}\verb!\tabref{...}!} for labels of tables.

\subsection{Theorems, lemmas, etc.}

When writing theorems, lemmas, etc. please use the \LaTeXe\ environments.
This has the usual advantages of logical markup versus
visual markup. The work style(class) file defines similar theorem
environments for lemmas, definitions, problems, corollaries, examples,
remarks and propositions. The full list of environments is as follows:

\medskip
\tabcolsep=.5cm
\begin{tabular}{ll}
{\color{blue}\verb|\begin{thm} ... \end{thm}|}&{\color{green}Theorem}\\
{\color{blue}\verb|\begin{lem} ... \end{lem}|}&{\color{green}Lemma}\\
{\color{blue}\verb|\begin{prop}... \end{prop}|}&{\color{green}Proposition}\\
{\color{blue}\verb|\begin{crit} ... \end{crit}|}&{\color{green}Criterion}\\

{\color{blue}\verb|\begin{rem} ... \end{rem}|}&{\color{green}Remark}\\
{\color{blue}\verb|\begin{cor} ... \end{cor}|}&{\color{green}Corollary}\\
{\color{blue}\verb|\begin{prob}... \end{prob}|}&{\color{green}Problem}\\
{\color{blue}\verb|\begin{exmp}... \end{exmp}|}&{\color{green}Example}\\
{\color{blue}\verb|\begin{alg}...\end{alg}|}&{\color{green}Algorithm}\\

{\color{blue}\verb|\begin{defn}... \end{defn}|}&{\color{green}Definition}\\
{\color{blue}\verb|\begin{hpt}  ... \end{hpt}|}&{\color{green}Hypothesis}\\
{\color{blue}\verb|\begin{pres} ... \end{pres}|}&{\color{green}Presumption}\\

{\color{blue}\verb|\begin{pf}  ... \end{pf}|}&{\color{green}Proof}\\
{\color{blue}\verb|\begin{pf*} ... \end{pf*}|}&{\color{green}Proof-like}
\end{tabular}
\medskip

{\sc The Example}:

This paper deals with the equation \eqref{eq:1}
\begin{equation}
{\sf e}^{{\sf i}\pi x}=1.\label{eq:1}
\end{equation}
The equations are numbered locally within your paper.


The main results are given in the following Lemma \thmref{lem:1} and
Theorem \thmref{thm:1}.

\begin{lem}
\label{lem:1} Euler's equation
\[{\sf e}^{{\sf i}\pi }=-1\]
combines the four most important numbers in mathematics in a single
equation.
\end{lem}

\begin{defn}
\label{defn:1} The complex number $\sf{i}$ is so-called \emph{imaginary unity}.
\end{defn}

\begin{exmp}
\label{exmp:1}
\[{\sf i}^2=-1, \bf{a}\neq \bm{a}.\]
\end{exmp}

{\sc End of the Example.}

This {\sc Example} in \LaTeXe:

{\color{blue}\begin{verbatim}
    This paper deals with the equations \eqref{eq:1}
    \begin{equation} {\sf e}^{{\sf i}\pi x}=1.\label{eq:1}
    \end{equation}
    The equations are numbered locally within your paper.


    The main results are given in the following Lemma \thmref{lem:1} and
    Theorem \thmref{thm:1}.

    \begin{lem}
    \label{lem:1} Euler's equation
    \[{\sf e}^{{\sf i}\pi }=-1\]
    combines the four most important numbers in mathematics in a single
    equation.
    \end{lem}

    \begin{defn}
    \label{defn:1} The complex number ${\sf i}$ is so-called
    \emph{imaginary unity}.
    \end{defn}

    \begin{exmp}
    \label{exmp:1}
    \[{\sf i}^2=-1, \bf{a}\neq \bm{a}.\]
    \end{exmp}
\end{verbatim}
}


You may want to attach some comments to the name of enunciation.

\begin{thm}[Example of theorem]
\label{thm:1}
The interesting equation
\begin{equation}
{\sf e}^{{\sf i}\pi x}=-1.\label{eq:2}
\end{equation}
can be solved very simply.
\end{thm}


This is done with an optional argument:

{\color{blue}\begin{verbatim}
    \begin{thm}[Example of theorem]
    \label{thm:1}
    The interesting equation
    \begin{equation}
    {\sf e}^{{\sf i}\pi x}=-1.\label{eq:2}
    \end{equation}
    can be solved very simply.
    \end{thm}
\end{verbatim}}

You may want to have an environment for a non-numbered enunciation, e.g.:

\begin{rem*}
Some authors like non-numbered remarks, propositions, etc.
\end{rem*}

\begin{prob*}
Is a non-numbered proposition more impressive than a numbered one?
\end{prob*}

\begin{west}
Go for it!
\end{west}

Then you can use stared environment:

{\color{blue}\begin{verbatim}
    \begin{rem*}
     Some authors ...
    \end{rem*}
\end{verbatim}}

{\color{blue}\begin{verbatim}
    \begin{prob*}
    Is a non-numbered ...?
    \end{prob*}
\end{verbatim}}

{\color{blue}\begin{verbatim}
    \begin{west}
    Go for it!
    \end{west}
\end{verbatim}}

The {\color{green}{\tt pf}} environment sets the word {\color{green}``Proof''}:

\begin{pf}
Text of the proof ...
\end{pf}

{\color{blue}\begin{verbatim}
    \begin{pf}
        Text of the proof ...
    \end{pf}
\end{verbatim}}


You may want the proof to start with the words {\color{green}`Proof of Theorem.'}. This is
done with an optional argument, as in the following example:
\begin{pf*}{Proof of Theorem}
Text of the proof ...
\end{pf*}

{\color{blue}\begin{verbatim}
    \begin{pf*}{Proof of Theorem}
        Text of the proof ...
    \end{pf*}
\end{verbatim}}


\section{Figures and tables}
\subsection{Figures}

\begin{figure}[h]
\centering {
\begin{minipage}[t]{3.7cm}
\includegraphics[scale=0.45]{guide1.pdf}
\caption{ 1 figure.}\label{fig:d1a}
\end{minipage}
\
\begin{minipage}[t]{3.7cm}
{\includegraphics[ scale=0.45]{guide2.pdf}}
\caption{ 2 figure.}\label{fig:d1b}
\end{minipage}
\
\begin{minipage}[t]{3.7cm}
{\includegraphics[ scale=0.45]{guide3.pdf}}
\caption{ 3 figure.}\label{fig:d1c}
\end{minipage}
}
\end{figure}

\begin{figure}[ht]
\centering {
\begin{minipage}[t]{4.1cm}
{\includegraphics[ scale=0.5]{guide1.pdf}}

\centerline{a)}
\end{minipage}
\quad
\begin{minipage}[t]{4.1cm}
{\includegraphics[ scale=0.5]{guide2.pdf}}

\centerline{b)}
\end{minipage}
}
\caption{ Two figures.}\label{fig:d2}
\end{figure}

\begin{figure}[t]
\centering {
\begin{tabular}{ccc}
{\includegraphics[ scale=0.38]{guide1.pdf}}&
{\includegraphics[ scale=0.38]{guide2.pdf}}&
{\includegraphics[ scale=0.38]{guide3.pdf}}\\
guide1.pdf figure& guide2.pdf figure& guide3.pdf figure\\
 & & \\
{\includegraphics[ scale=0.38]{guide2.pdf}}&
{\includegraphics[ scale=0.38]{guide1.pdf}}&
{\includegraphics[ scale=0.38]{guide2.pdf}}\\
guide2.pdf figure& guide1.pdf figure& guide2.pdf figure\\
\end{tabular}
\caption{ Six figures. }\label{fig:d3}
}
\end{figure}


\begin{figure}[h]
\centering {
\begin{minipage}[t]{3.6cm}
{\includegraphics[ scale=0.45]{guide1.pdf}}

\centerline{1}
\end{minipage}
\quad
\begin{minipage}[t]{3.6cm}
{\includegraphics[ scale=0.45]{guide1.pdf}}

\centerline{2}
\end{minipage}
\quad
\begin{minipage}[t]{3.6cm}
{\includegraphics[ scale=0.45]{guide1.pdf}}

\centerline{3}
\end{minipage}
\caption{The  same figure. }\label{fig:d5}
}
\end{figure}

\begin{figure}[h]
\centering {
\begin{minipage}[t]{10cm}
{\includegraphics[ scale=0.6]{guide4.pdf}}
\caption{One figure.}\label{fig:d1g}
\end{minipage}
}
\end{figure}

Use the standard \LaTeX\ {\color{green}\verb!figure!} environment({\color{green}{\tt graphicx}
package}) to include figures in your document. Let use  the same file names for all figures,
i.e. {\color{magenta}{\tt guide.tex, guide1.pdf,..., guide5.pdf}}
 and so on. In examples original size of the figures files:

\begin{description}
\item[ ]
\begin{quote}
\item[1)] {\color{magenta}{\tt guide1.pdf}} --  8cm x 8cm,
\item[2)] {\color{magenta}{\tt guide2.pdf}} --  8cm x 8cm,
\item[3)] {\color{magenta}{\tt guide3.pdf}} --  8cm x 8cm,
\item[4)] {\color{magenta}{\tt guide4.pdf}} --  16cm x 8cm.
\end{quote}
\end{description}

\begin{exmp}[Figures:   \figref{fig:d1a} ,   \figref{fig:d1b},
  \figref{fig:d1c}]

{\color{blue}\begin{verbatim}
    \begin{figure}[h]
    \centering {
    \begin{minipage}[t]{3.7cm}
    {\includegraphics[ scale=0.45]{guide1.pdf}}
    \caption{ 1th figure.}\label{fig:d1a}
    \end{minipage}
    \
    \begin{minipage}[t]{3.7cm}
    {\includegraphics[ scale=0.45]{guide2.pdf}}
    \caption{ 2th figure.}\label{fig:d1b}
    \end{minipage}
    \
    \begin{minipage}[t]{3.7cm}
    {\includegraphics[ scale=0.45]{guide3.pdf}}
    \caption{ 3th figure.}\label{fig:d1c}
    \end{minipage}
    }
    \end{figure}
\end{verbatim}}
\end{exmp}

\begin{exmp}[\figref{fig:d2}  ]
{\color{blue}\begin{verbatim}
    \begin{figure}[ht]
    \centering {
    \begin{minipage}[t]{4.1cm}
    {\includegraphics[ scale=0.5]{guide1.pdf}}

    \centerline{a)}
    \end{minipage}
    \quad
    \begin{minipage}[t]{4.1cm}
    {\includegraphics[ scale=0.5]{guide2.pdf}}

    \centerline{b)}
    \end{minipage}
    }
    \caption{ Two figures.}\label{fig:d2}
    \end{figure}
\end{verbatim}}
\end{exmp}

\begin{exmp}[ \figref{fig:d3}  (figures in table) ]
{\color{blue}\begin{verbatim}
    \begin{figure}[t]
    \centering {
    \begin{tabular}{ccc} {\includegraphics[ scale=0.38]{guide1.pdf}}
    & {\includegraphics[scale=0.38]{guide2.pdf}}&
    {\includegraphics[ scale=0.38]{guide3.pdf}}\\
    1.pdf figure&2.pdf figure&1.pdf figure\\
     & & \\
    {\includegraphics[ scale=0.38]{guide2.pdf}}&
    {\includegraphics[ scale=0.38]{guide1.pdf}}&
    {\includegraphics[ scale=0.38]{guide2.pdf}}\\
    2.pdf figure&1.pdf figure&2.pdf figure\\
    \end{tabular}
    \caption{ Six figures. }\label{fig:d3}
    }
    \end{figure}
\end{verbatim}}
\end{exmp}

\begin{exmp}[ \figref{fig:d5}]
{\color{blue}\begin{verbatim}
    \begin{figure}[h]
    \centering {
    \begin{minipage}[t]{3.6cm}
    {\includegraphics[ scale=0.45]{guide1.pdf}}

    \centerline{1}
    \end{minipage}
    \quad
    \begin{minipage}[t]{3.6cm}
    {\includegraphics[ scale=0.45]{guide1.pdf}}

    \centerline{2}
    \end{minipage}
    \quad
    \begin{minipage}[t]{3.6cm}
    {\includegraphics[ scale=0.45]{guide1.pdf}}

    \centerline{3}
    \end{minipage}
    \caption{The  same figure. }\label{fig:d5}
    }
    \end{figure}
\end{verbatim}}
\end{exmp}

\begin{exmp}[ \figref{fig:d1g} ]
{\color{blue}\begin{verbatim}
    \begin{figure}[h]
    \centering {
    \begin{minipage}[t]{10cm}
    {\includegraphics[ scale=0.6]{guide4.pdf}}
    \caption{One figure.}\label{fig:d1g}
    \end{minipage}
    }
    \end{figure}
\end{verbatim}}
\end{exmp}

We can accept figures in the Portable Document Format ({\color{magenta}{\tt *.pdf }}
files)!

\subsection{Tables}

\begin{table}[t]
\beforecaption={\tabcolsep=0pt}
\caption{This is an example of how \protect\\ a simple  three-column table could
look.}\label{t1}\raggedright
\tabcolsep=0.5cm
\begin{tabular}{rrr}
\boldhline
&  $a$ & $b$ \\
\hline
$x$ & 1.12 & 0.11\\
$y$ & 10.34 & 0.2\\
\boldhline
\end{tabular}
\end{table}
\begin{table}[b]
\beforecaption={\tabcolsep=0pt}
\caption{An example of more complicated table.}\label{t2}
\raggedright \tabcolsep=5pt
\begin{tabular}{lcccccccccc}
\boldhline %\\[-1pt]
& \multicolumn{3}{c}{Depth} && \multicolumn{3}{c}{Depth with Splitting}
&& \multicolumn{2}{c}{Terminator} \\[2pt] % Tiefe 5
\cline{2-4}\cline{6-8}\cline{10-11}
\multicolumn{11}{l}{}\\[-7pt]
& $\infty$ & \d{3}2 & \d{1}1 && $\infty$ & \d{1}2 & \d{1}1
&& Standard & Splitting \\
Variant 1 & $\infty$ & 2105 & unsolvable &&  269  & 65  &
 22 && $\infty$ & 10 \\
Variant 2 & 46 & \d{2}46 & 47 && \d{2}5 & \d{1}5 & \d{1}5
&& 23 & \d{1}5 \\
\boldhline
\end{tabular}
\end{table}

Use the standard \LaTeX\ {\color{green}\verb!tabular!} environment to set tables. Note that
you should not insert vertical lines between columns. \tabref{t1} is an  example of how a
three-column right-aligned table could be set. (You can change the value of
{\color{blue}\verb|\tabcolsep|} at your taste, but within a reasonable range.)

\begin{exmp}

{\color{blue}\begin{verbatim}

    \begin{table}[t]
    \beforecaption={\tabcolsep=0pt}
    \caption{This is an example ...}\label{t1}
    \raggedright \tabcolsep=.5cm
    \begin{tabular}{rrr} \boldhline
    &  $a$ & $b$ \\
    \hline
    $x$ & 1.12 & 0.11\\
    $y$ & 10.34 & 0.2\\
    \boldhline
    \end{tabular}
    \end{table}
\end{verbatim}}
\end{exmp}


Note that the {\color{green}\verb!tabular!} environment has been placed inside a
{\color{green}\verb!table!} environment. This keeps the tabular material together and allows
text to flow around that material. (The two environments are distinct. A
{\color{green}\verb!tabular!} environment allows material to be aligned in columns; a
{\color{green}\verb!table!} environment is a logical document element that identifies its
contents as belonging together and lets the contents float jointly.)

A more complicated example is   \tabref{t2}:

\begin{exmp}
A more complicated example is   \tabref{t2}:

{\color{blue}\begin{verbatim}
    \begin{table}[b] \beforecaption={\tabcolsep=0pt}
    \caption{An example ...}\label{t2}
    \raggedright\tabcolsep=5pt
    \begin{tabular}{lcccccccccc}\boldhline
    & \multicolumn{3}{c}{Depth}
    && \multicolumn{3}{c}{Depth with Splitting}
    && \multicolumn{2}{c}{Terminator} \\[2pt]
    \cline{2-4}\cline{6-8}\cline{10-11}
    \multicolumn{11}{l}{}\\[-7pt]
    & $\infty$ & \d{3}2 & \d{1}1 && $\infty$ & \d{1}2 & \d{1}1
    && Standard & Splitting \\
    Variant 1 & $\infty$ & 2105 & unsolvable &&  269  & 65  &
     22 && $\infty$ & 10 \\
    Variant 2 & 46 & \d{2}46 & 47 && \d{2}5 & \d{1}5 & \d{1}5
    && 23 & \d{1}5 \\
    \boldhline
    \end{tabular}
    \end{table}
\end{verbatim}}
\end{exmp}



\section{How to translate *.tex file}
Edit file  {\color{magenta}name.tex} (or {\color{magenta}template.tex}).\\
If the preamble is changed(new references or new title) then
remove temporary files {\color{magenta}x.bib} and {\color{magenta}mma.00}.

\begin{description}\vspace{-3.5ex}\item[]\begin{quote}
%
\item[\ ]Use the following commands to compile name.pdf file:
\item[1)] {\color{red}pdflatex name.tex};
\item[2)] {\color{red}bibtex name};
\item[3)] {\color{red}pdflatex name.tex};
\item[4)] {\color{red}pdflatex name.tex };
%\item[5)] Let submit Your {\color{magenta}name.tex}[as Main document], {\color{magenta}name.pdf} files %and figures saved as PDF (Portable Document Format) [as TeX/LaTeX Supl.files].
\end{quote}\vspace{0.5ex}\end{description}
%

%spell_to this point %********** End of text entry *****************
\bibliography{x}
%emptypage
\end{document}

